Brockett, Roger W.
Overview
Works:  92 works in 155 publications in 2 languages and 1,264 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Creator, Author of introduction 
Classifications:  QA402.3, 517 
Publication Timeline
.
Most widely held works by
Roger W Brockett
Finite dimensional linear systems by
Roger W Brockett(
Book
)
20 editions published between 1969 and 2015 in English and Undetermined and held by 454 WorldCat member libraries worldwide
Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises
20 editions published between 1969 and 2015 in English and Undetermined and held by 454 WorldCat member libraries worldwide
Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics; develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas; and contains a number of nontrivial examples and many exercises
Differential geometric control theory : proceedings of the conference held at Michigan Technological University, June 28July
2, 1982(
Book
)
18 editions published between 1982 and 1983 in English and Undetermined and held by 321 WorldCat member libraries worldwide
18 editions published between 1982 and 1983 in English and Undetermined and held by 321 WorldCat member libraries worldwide
Geometric methods in system theory; proceedings of the NATO Advanced Study Institute held at London, England, August 27September
7, 1973 by
David Q Mayne(
Book
)
14 editions published in 1973 in 3 languages and held by 238 WorldCat member libraries worldwide
Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector spacelinear theory often gives the wrong insight and thus should not be relied upon
14 editions published in 1973 in 3 languages and held by 238 WorldCat member libraries worldwide
Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints. Examples are numerous; in a switched, lossless electrical network energy is conserved and the state evolves on an ellipsoid surface defined by x'Qx equals a constant; in the control of finite state, continuous time, Markov processes the state evolves on the set x'x = 1, xi ~ O. The control of rigid body motions and trajectory control leads to problems of this type. There has been under way now for some time an effort to build up enough control theory to enable one to treat these problems in a more or less routine way. It is important to emphasise that the ordinary vector spacelinear theory often gives the wrong insight and thus should not be relied upon
Optimization and dynamical systems by
Uwe Helmke(
Book
)
5 editions published between 1994 and 1996 in English and held by 17 WorldCat member libraries worldwide
This study addresses both classical and previously unsolved optimization tasks in linear algebra, linear systems theory, control theory and signal processing. Exploiting developments in Computation such as Parallel Computing and Neural Networks, it gives a dynamical systems approach for tackling a wide class of constrained optimization tasks. Optimization and Dynamical Systems will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds
5 editions published between 1994 and 1996 in English and held by 17 WorldCat member libraries worldwide
This study addresses both classical and previously unsolved optimization tasks in linear algebra, linear systems theory, control theory and signal processing. Exploiting developments in Computation such as Parallel Computing and Neural Networks, it gives a dynamical systems approach for tackling a wide class of constrained optimization tasks. Optimization and Dynamical Systems will be of interest to engineers and mathematicians. Engineers will learn the mathematics and the technical approach necessary to solve a wide class of constrained optimization tasks. Mathematicians will see how techniques from global analysis and differential geometry can be developed to achieve useful construction procedures for optimization on manifolds
Linear algebra and its applications. Special volume : linear systems and control(
Book
)
1 edition published in 1983 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1983 in English and held by 16 WorldCat member libraries worldwide
Control of partial differential equations : Cetraro, Italy 2010 by
Fatiha AlabauBoussouira(
Book
)
2 editions published in 2012 in English and held by 15 WorldCat member libraries worldwide
Annotation The term control theory refers to the body of results  theoretical, numerical and algorithmic  which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19  23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research
2 editions published in 2012 in English and held by 15 WorldCat member libraries worldwide
Annotation The term control theory refers to the body of results  theoretical, numerical and algorithmic  which have been developed to influence the evolution of the state of a given system in order to meet a prescribed performance criterion. Systems of interest to control theory may be of very different natures. This monograph is concerned with models that can be described by partial differential equations of evolution. It contains five major contributions and is connected to the CIME Course on Control of Partial Differential Equations that took place in Cetraro (CS, Italy), July 19  23, 2010. Specifically, it covers the stabilization of evolution equations, control of the Liouville equation, control in fluid mechanics, control and numerics for the wave equation, and Carleman estimates for elliptic and parabolic equations with application to control. We are confident this work will provide an authoritative reference work for all scientists who are interested in this field, representing at the same time a friendly introduction to, and an updated account of, some of the most active trends in current research
2002 MTNS problem book : open problems on the mathematical theory of systems : August 1216, 2002 by International Symposium on the Mathematical Theory of Networks and Systems(
Book
)
1 edition published in 2002 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 14 WorldCat member libraries worldwide
Mathematical control theory by
J Baillieul(
Book
)
1 edition published in 1999 in English and held by 11 WorldCat member libraries worldwide
This selfcontained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development. Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth. This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory
1 edition published in 1999 in English and held by 11 WorldCat member libraries worldwide
This selfcontained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development. Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth. This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory
Nonlinear systems and nonlinear estimation theory by
Roger W Brockett(
Book
)
5 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
5 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
Mathematical questions in robotics(
Book
)
1 edition published in 1990 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 5 WorldCat member libraries worldwide
Organization of system control by
Roger W Brockett(
Book
)
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1966 in English and held by 3 WorldCat member libraries worldwide
Robotics(
Book
)
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Cycles that effect change by
Roger W Brockett(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
An estimation theoretic basis for the design of sorting and classification networks by
Roger W Brockett(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Toda flows, inverse spectral transform and realization theory by
Roger W Brockett(
Book
)
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide
Analog and digital computing by
Roger W Brockett(
Book
)
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 2 WorldCat member libraries worldwide
Dynamical systems and their associated automata by
Roger W Brockett(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Dynamical systems that learn subspaces by
Roger W Brockett(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
Evolution equations for continuousscale morphological filtering by
Roger W Brockett(
Book
)
2 editions published between 1993 and 1994 in Undetermined and English and held by 2 WorldCat member libraries worldwide
2 editions published between 1993 and 1994 in Undetermined and English and held by 2 WorldCat member libraries worldwide
Robotics challenges in motion control, planning, & vision(
Visual
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Summary: Covers the seminar on motion control and robot motion planning
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Summary: Covers the seminar on motion control and robot motion planning
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Related Identities
 Millman, Richard S. 1945 Editor
 Sussmann, Hector J. 1946 Editor
 Michigan Technological University
 Mayne, David Q. 1930 Author Editor
 North Atlantic Treaty Organization Scientific Affairs Division
 Baillieul, J. (John) Author Editor
 Center for Intelligent Control Systems (U.S.)
 American Mathematical Society
 Martin, D.P. Editor
 Sastry, S. Shankar
Useful Links
Associated Subjects
Automatic control Awards Canada College teachers Control theory Differentiable dynamical systems Differential equations, Partial Educational assistance Engineering Engineering mathematics Evolution equations Exterior differential systems Geometry, Algebraic Geometry, Differential Linear systems Mathematical optimization Mathematics Numerical analysis Research RoboticsMathematics RobotsControl systems RobotsMotion Robot vision Scientists Signal processing Stability System analysis Telecommunication TransportationPassenger traffic TransportationResearch United States Universities and collegesFaculty