Foiaş, Ciprian
Overview
Works:  97 works in 383 publications in 4 languages and 6,985 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Honoree 
Publication Timeline
.
Most widely held works about
Ciprian Foiaş
 [Papers presented at the Conference on Nonlinear Problems in Applied Sciences, held in Bloomington, Indiana, U.S.A., September 1517, 2000 by Conference on Nonlinear Problems in Applied Sciences( Book )
Most widely held works by
Ciprian Foiaş
NavierStokes equations and turbulence by
Ciprian Foiaş(
)
23 editions published between 2001 and 2008 in English and held by 1,853 WorldCat member libraries worldwide
This text is the result of many years of research by authors to analyse turbulence using Sobolev spaces and functional analysis. It should ensure a volume of interest to mathematicians, engineers and physicists
23 editions published between 2001 and 2008 in English and held by 1,853 WorldCat member libraries worldwide
This text is the result of many years of research by authors to analyse turbulence using Sobolev spaces and functional analysis. It should ensure a volume of interest to mathematicians, engineers and physicists
Harmonic analysis of operators on Hilbert space by
Béla SzőkefalviNagy(
Book
)
34 editions published between 1970 and 2010 in English and held by 635 WorldCat member libraries worldwide
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 195070. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition
34 editions published between 1970 and 2010 in English and held by 635 WorldCat member libraries worldwide
The existence of unitary dilations makes it possible to study arbitrary contractions on a Hilbert space using the tools of harmonic analysis. The first edition of this book was an account of the progress done in this direction in 195070. Since then, this work has influenced many other areas of mathematics, most notably interpolation theory and control theory. This second edition, in addition to revising and amending the original text, focuses on further developments of the theory. Specifically, the last two chapters of the book continue and complete the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus (as introduced in Chapter III) is not injective. For both of these classes, a wealth of material on structure, classification and invariant subspaces is included in Chapters IX and X. Several chapters conclude with a sketch of other developments related with (and developing) the material of the first edition
H [infinity]control theory : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.)
held in Como, Italy, June 1826, 1990 by
Ciprian Foiaş(
Book
)
20 editions published in 1991 in English and German and held by 452 WorldCat member libraries worldwide
The fundamental problem in control engineering is to provide robust performance to uncertain plants. H control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers. B.A. Francis: Lectures on H Control and SampledData Systems. J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System. H. Kwakernaak: The Polynomial Approach to H Optimal Regulation. J.B. Pearson: A Short Course in l  Optimal Control
20 editions published in 1991 in English and German and held by 452 WorldCat member libraries worldwide
The fundamental problem in control engineering is to provide robust performance to uncertain plants. H control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers. B.A. Francis: Lectures on H Control and SampledData Systems. J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System. H. Kwakernaak: The Polynomial Approach to H Optimal Regulation. J.B. Pearson: A Short Course in l  Optimal Control
NavierStokes equations by
P Constantin(
Book
)
14 editions published between 1980 and 1997 in 3 languages and held by 418 WorldCat member libraries worldwide
14 editions published between 1980 and 1997 in 3 languages and held by 418 WorldCat member libraries worldwide
Theory of generalized spectral operators by
Ion Colojoara(
Book
)
12 editions published in 1968 in English and held by 415 WorldCat member libraries worldwide
12 editions published in 1968 in English and held by 415 WorldCat member libraries worldwide
Robust control of infinite dimensional systems : frequency domain methods by
Ciprian Foiaş(
Book
)
14 editions published between 1995 and 2005 in English and held by 352 WorldCat member libraries worldwide
Since its inception in the early 1980s, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. The purpose of this monograph is to present, in a tutorial fashion, a self contained operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces. Such systems arise for problems modelled by partial differential equations or which have time delays. Besides elucidating the mathematics of H( control, extensive treatment is given to its physical and engineering underpinnings. The techniques given in the book are carefully illustrated by two benchmark problems: an unstable system with a time delay which comes from the control of the X29, and the control of a EulerBernoulli flexible beam with KelvinVoigt damping
14 editions published between 1995 and 2005 in English and held by 352 WorldCat member libraries worldwide
Since its inception in the early 1980s, H( optimization theory has become the control methodology of choice in robust feedback analysis and design. The purpose of this monograph is to present, in a tutorial fashion, a self contained operator theoretic approach to the H( control for disturbed parameter systems, that is, systems which admit infinite dimensional state spaces. Such systems arise for problems modelled by partial differential equations or which have time delays. Besides elucidating the mathematics of H( control, extensive treatment is given to its physical and engineering underpinnings. The techniques given in the book are carefully illustrated by two benchmark problems: an unstable system with a time delay which comes from the control of the X29, and the control of a EulerBernoulli flexible beam with KelvinVoigt damping
Dual algebras with applications to invariant subspaces and dilation theory by
Hari Bercovici(
Book
)
19 editions published between 1984 and 1985 in English and held by 333 WorldCat member libraries worldwide
19 editions published between 1984 and 1985 in English and held by 333 WorldCat member libraries worldwide
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMSIMSSIAM joint
summer research conference held July 1925, 1987, with support from the National Science Foundation and the Air Force Office
of Scientific Research by
AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on the Connection between Infinite and Finite Dimensional
Dynamical Systems(
Book
)
12 editions published between 1987 and 2012 in English and Italian and held by 278 WorldCat member libraries worldwide
12 editions published between 1987 and 2012 in English and Italian and held by 278 WorldCat member libraries worldwide
Attractors representing turbulent flows by
P Constantin(
Book
)
18 editions published between 1983 and 1985 in English and Undetermined and held by 270 WorldCat member libraries worldwide
18 editions published between 1983 and 1985 in English and Undetermined and held by 270 WorldCat member libraries worldwide
Turbulence in fluid flows : a dynamical systems approach by
George R Sell(
Book
)
11 editions published in 1993 in English and held by 263 WorldCat member libraries worldwide
The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the NavierStokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the NavierStokes problems and related issues. This book should be of interest to both applied mathematicians and engineers
11 editions published in 1993 in English and held by 263 WorldCat member libraries worldwide
The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the NavierStokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the NavierStokes problems and related issues. This book should be of interest to both applied mathematicians and engineers
Analyse harmonique des opérateurs de l'espace de Hilbert by
Béla SzőkefalviNagy(
Book
)
29 editions published in 1967 in 3 languages and held by 260 WorldCat member libraries worldwide
29 editions published in 1967 in 3 languages and held by 260 WorldCat member libraries worldwide
The commutant lifting approach to interpolation problems by
Ciprian Foiaş(
Book
)
14 editions published between 1989 and 1990 in English and held by 257 WorldCat member libraries worldwide
Classical H~ interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Möbius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of coisometries can be extended, by preserving their norm, to operators intertwining these coisometries; starring with R.G. Douglas, P.S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L ~ interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L ~ to H~. At about the sametime as Sarason's work, V.M
14 editions published between 1989 and 1990 in English and held by 257 WorldCat member libraries worldwide
Classical H~ interpolation theory was conceived at the beginning of the century by C. Caratheodory, L. Fejer and I. Schur. The basic method, due to Schur, in solving these problems consists in applying the Möbius transform to peel off the data. In 1967, D. Sarason encompassed these classical interpolation problems in a representation theorem of operators commuting with special contractions. Shortly after that, in 1968, B. Sz. Nagy and C. Foias obtained a purely geometrical extension of Sarason's results. Actually, their result states that operators intertwining restrictions of coisometries can be extended, by preserving their norm, to operators intertwining these coisometries; starring with R.G. Douglas, P.S. Muhly and C. Pearcy, this is referred to as the commutant lifting theorem. In 1957, Z. Nehari considered an L ~ interpolation problern which in turn encompassed the same classical interpolation problems, as well as the computation of the distance of a function f in L ~ to H~. At about the sametime as Sarason's work, V.M
Nonselfadjoint operator algebras, operator theory, and related topics : the Carl M. Pearcy anniversary volume by
Hari Bercovici(
Book
)
9 editions published in 1998 in English and held by 223 WorldCat member libraries worldwide
"This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators."Jacket
9 editions published in 1998 in English and held by 223 WorldCat member libraries worldwide
"This volume, dedicated to Carl Pearcy on the occasion of his 60th birthday, presents recent results in operator theory, nonselfadjoint operator algebras, measure theory and the theory of moments. The articles on these subjects have been contributed by leading area experts, many of whom were associated with Carl Pearcy as students or collaborators."Jacket
Metric constrained interpolation, commutant lifting, and systems by
Ciprian Foiaş(
Book
)
10 editions published in 1998 in English and held by 219 WorldCat member libraries worldwide
This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operatorvalued versions of the tangential NevanlinnaPick problem, the HermiteFejér problem, the Nehari problem, the Sarason problem, and the twosided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is selfcontained and may be used for advanced graduate courses and seminars
10 editions published in 1998 in English and held by 219 WorldCat member libraries worldwide
This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operatorvalued versions of the tangential NevanlinnaPick problem, the HermiteFejér problem, the Nehari problem, the Sarason problem, and the twosided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is selfcontained and may be used for advanced graduate courses and seminars
Operator theory and interpolation : International Workshop on Operator Theory and Applications, IWOTA 96 by
Hari Bercovici(
Book
)
12 editions published in 2000 in English and held by 194 WorldCat member libraries worldwide
"Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory." "The articles in this volume originated from the IWOTA conference held at Indiana University, Bloomington, in June 1996. They represent most of the areas that were discussed at the workshop with some emphasis on modern interpolation theory, a topic which has seen much progress in recent years."Jacket
12 editions published in 2000 in English and held by 194 WorldCat member libraries worldwide
"Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory." "The articles in this volume originated from the IWOTA conference held at Indiana University, Bloomington, in June 1996. They represent most of the areas that were discussed at the workshop with some emphasis on modern interpolation theory, a topic which has seen much progress in recent years."Jacket
Encyclopaedia of Mathematics, Supplement III by
Shreeram Shankar Abhyankar(
)
1 edition published in 2002 in English and held by 102 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
1 edition published in 2002 in English and held by 102 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
Integral manifolds and inertial manifolds for dissipative partial differential equations by
P Constantin(
)
4 editions published in 1989 in English and held by 84 WorldCat member libraries worldwide
This work, the main results of which were announced in (CFNT), focuses on a new geometric explicit construction of inertial manifolds from integral manifolds generated by some initial dimensional surface. The method covers a large class of dissipative PDEs. The existence of a smooth integral manifold the closure of which in an inertial manifold M (i.E. containing X and uniformly exponentially attracting) requires a more detailed analysis of the geometric properties of the infinite dimensional flow. The method is explicity constructive, integrating forward in time and avoiding any fixed point theorems. The key geometric property upon which we base the construction of our integral inertial manifold M is a Spectral Blocking Property of the flow, which controls the evolution of the position of surface elements relative to the fixed reference frame associated to the linear principal part of the PDE
4 editions published in 1989 in English and held by 84 WorldCat member libraries worldwide
This work, the main results of which were announced in (CFNT), focuses on a new geometric explicit construction of inertial manifolds from integral manifolds generated by some initial dimensional surface. The method covers a large class of dissipative PDEs. The existence of a smooth integral manifold the closure of which in an inertial manifold M (i.E. containing X and uniformly exponentially attracting) requires a more detailed analysis of the geometric properties of the infinite dimensional flow. The method is explicity constructive, integrating forward in time and avoiding any fixed point theorems. The key geometric property upon which we base the construction of our integral inertial manifold M is a Spectral Blocking Property of the flow, which controls the evolution of the position of surface elements relative to the fixed reference frame associated to the linear principal part of the PDE
On the interaction of small and large eddies in two dimensional turbulent flows by
Ciprian Foiaş(
Book
)
3 editions published in 1987 in English and held by 81 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 81 WorldCat member libraries worldwide
Recent advances in operator theory and related topics : the Béla SzőkefalviNagy memorial volume(
)
3 editions published in 2001 in English and held by 62 WorldCat member libraries worldwide
((keine Punkte, sondern 2 accents aigus auf dem o in Szkefalvi, s. auch Titel!)) In August 1999, an international conference was held in Szeged, Hungary, in honor of Bla SzkefalviNagy, one of the founders and main contributors of modern operator theory. This volume contains some of the papers presented at the meeting, complemented by several papers of experts who were unable to attend. These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos
3 editions published in 2001 in English and held by 62 WorldCat member libraries worldwide
((keine Punkte, sondern 2 accents aigus auf dem o in Szkefalvi, s. auch Titel!)) In August 1999, an international conference was held in Szeged, Hungary, in honor of Bla SzkefalviNagy, one of the founders and main contributors of modern operator theory. This volume contains some of the papers presented at the meeting, complemented by several papers of experts who were unable to attend. These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos
H∞Control Theory : Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como,
Italy, June 1826, 1990 by
Ciprian Foiaş(
)
1 edition published in 1991 in English and held by 32 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 32 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Temam, Roger Other Honoree Editor
 SzőkefalviNagy, Béla 19131998 Author
 Bercovici, Hari 1953 Author Editor
 Constantin, P. (Peter) 1951 Author
 Pearcy, Carl M. 1935 Dedicatee
 Mosca, Edoardo Other Editor
 Pandolfi, L. (Luciano) Other Editor
 Colojoara, Ion Author
 Centro internazionale matematico estivo
 Nicolaenko, Basil 1943 Other Editor
Useful Links
Associated Subjects
Automatic control C*algebras Cell aggregationMathematics Control theory Differentiable dynamical systems Differential equations, Parabolic Differential equations, Partial Dilation theory (Operator theory) Distributed parameter systems Duality theory (Mathematics) Eddies Engineering Fluid mechanics Foiaş, Ciprian Functional analysis Global analysis (Mathematics) Harmonic analysis Hilbert space Interpolation Invariant subspaces Lifting theory Linear control systems Manifolds (Mathematics) Mathematical optimization Mathematics Mechatronics NavierStokes equations Nonlinear theories Nonselfadjoint operators Operator algebras Operator theory Robotics Spectral theory (Mathematics) Statespace methods System analysis System theory Temam, Roger Turbulence
Covers
Alternative Names
Ciprian Foiaș mathématicien roumain
Ciprian Foias románamerikai matematikus
Ciprian Foias RomanianAmerican mathematician
Ciprian Foias rumänischUSamerikanischer Mathematiker
Ciprian Foias wiskundige uit Roemenië
Foiaş, C.
Foiaş, C. 1933
Foiaş, C. (Ciprian)
Foias, Ciprian
Foias, Ciprian 1933
Foias, Ciprian I. 1933
Foias, Ciprian Ilie
Foias, Ciprian Ilie 1933
Foi︠a︡sh, Ch.
Fojaš, Č.
Чиприан Фояс румынский и американский математик
チプリアン・フォイアス
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