skip to content
Unsolved problems in mathematical systems and control theory Preview this item
ClosePreview this item
Checking...

Unsolved problems in mathematical systems and control theory

Author: Vincent Blondel; Alexandre Megretski
Publisher: Princeton, N.J. : Princeton University Press, ©2004.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics,  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Aufgabensammlung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Vincent Blondel; Alexandre Megretski
ISBN: 0691117489 9780691117485
OCLC Number: 53485153
Description: xii, 334 pages ; 24 cm
Contents: Stability and composition of transfer functions / Guillermo Fernandex-Anaya, Joan Carols Martinez-Garcia --
The realization problem of Herglotz-Nevalinna functions / Seppo Hassi, Henk de Snoo, Eduard Tsekanovskii --
Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? / Dmitry S. Kalyuzhniy-Verbovetsky --
Partial disturbance decoupling with stability / Juan Carlos Martinez-Garcia, Michel Malabre, Vladimir Kucera --
Is monopoli's model reference adaptive controller correct? A.S. Morse --
Model reduction of delay systems / Jonathan R. Partington --
Schur extremal problems / Lev Sakhnovich --
The elusive iff test for time-controllability of behaviors / Amol J. Sasane --
A Farkas lemma for behavioral inequalities / A.A. (Tonny) ten Dam, J.W. (Hans) Nieuwenhuis --
Regular feedback implementability of linear differential behaviors / H.L. Trentelman --
Riccati stability / Erik I. Verriest --
State and first order representations / Jan C. Willems --
Projection of state space realizations / Antoine Vandendorpe, Paul Van Dooren --
On error of estimation and minimum of cost for wide band noise driven system / Agamirza E. Bashirov --
On the stability of random matrices / Giuseppe C. Calafiore, Fabrizio Davvene --
Aspects of Fisher geometry for stochastic linear systems / Bernard Hanzon, Ralf Peeters --
On the convergence of normal forms for analytic control systems / Wei Kang, Arthur J. Krener. Minimum time control of the Kepler equation / Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles --
Linearization of linearly controllable systems / R. Devanathan --
Bases of Lie algebras and a continuous CBH formula / Matthias Kawski --
An extended gradient conjecture / Luis Carlos Martins Jr., Geraldo Nunes Silva --
Optimal transaction costs from a Stackelberg perspective / Geert Jan Olsder --
Does cheap control solve a singular nonlinear quadratic problem? / Yuri V. Orlov --
Delta-sigma modulator synthesis / Anders Rantzer --
Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra / G.M. Sklyar, S. Yu. Ignatovich --
Dynamics of principal and minor component flows / U. Helmke, S. Yoshizawa, R. Evans, J.H. Manton, and I.M.Y. Mareels --
L2-induced gains of switched linear systems / Joao P. Hespanha --
The state partitioning problem of quantized systems / Jan Lunze --
Feedback control in flowshops / S.P. Sethi and Q. Zhang --
Decentralized control with communication between controllers / Jan H. van Schuppen --
Infinite dimensional backstepping for nonlinear parabolic PDEs / Andras Balogh, Miroslave Krstic --
The dynamical Lame system with boundary control: on the structure of reachable sets / M.I. Belishev --
Null-controllability of the heat equation in unbounded domains / Sorin Micu, Enrique Zuazua --
Is the conservative wave equation regular? / George Weiss --
Exact controllability of the semilinear wave equation / Xu Zhang, Enrique Zuazua --
Some control problems in electromagnetics and fluid dynamics / Lorella Fatone, Maria Cristina Recchioni, Francesco Zirilli. Copositive Lyapunov functions / M.K. Camlibel, J.M. Schumacher --
The strong stabilization problem for linear time-varying systems / Avraham Feintuch --
Robustness of transient behavior / Diederich Hinrichsen, Elmar Plischke, Fabian Wirth --
Lie algebras and stability of switched nonlinear systems / Daniel Liberzon --
Robust stability test for interval fractional order linear systems / Ivo Petras, YangQuan Chen, Blas M. Vinagre --
Delay-independent and delay-dependent Aizerman problem / Vladimir Rasvan --
Open problems in control of linear discrete multidimensional systems / Li Xu, Zhiping Lin, Jiang-Qian Ying, Osami Saita, Yoshihia Anazawa --
An open problem in adaptative nonlinear control theory / Leonid S. Zhiteckij --
Generalized Lyapunov theory and its omega-transformable regions / Sheng-Gue Wang --
Smooth Lyapunov characterization of measurement to error stability / Brian P. INgalls, Eduardo D. Sontag --
Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations / Jean-Michel Coron --
A Hautus test for infinite-dimensional systems / Birgit Jacob, Hans Zwart --
Three problems in the field of observability / Phillippe Jouan --
Control of the KdV equation / Lionel Rosier --
H --
norm approximation / A.C. Antoulas, A. Astolfi --
Noniterative computation of optimal value in H control / Ben M. Chen --
Determining the least upper bound on the achievable delay margin / Daniel E. Davison, Daniel E. Miller --
Stable controller coefficient perturbation in floating point implementation / Jun Wu, Sheng Chen --
A conjecture on Lyapunov equations and principal angles in subspace identification / Katrien De Cock, Bart De Moor. Stability of a nonlinear adaptive system for filtering and parameter estimation / Masoud Karimi-Ghartemani, Alireza K. Ziarani --
Root-clustering for multivariate polynomials and robust stability analysis / Pierre-Alexandre Bliman --
When is a pair of matrices stable? Vincent D. Blondel, Jacques Theys, John N. Tsitsiklis --
Freeness of multiplicative matrix semigroups / Vincent D. Blondel, Julien Cassaigne, Juhani Karhumaki --
Vector-valued quadratic forms in control theory / Francesco Bullo, Jorge Cortes, Andrew D. Lewis, Sonia Martinez --
Nilpotent bases of distributions / Henry G. Hermes, Matthias Kawski --
What is the characteristic polynomial of a signal flow graph? Andrew D. Lewis --
Open problems in randomized analysis / Onur Toker.
Responsibility: edited by Vincent D. Blondel, Alexandre Megretski.
More information:

Abstract:

Provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. This book consists of ten parts representing various problem areas, and each  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/53485153> # Unsolved problems in mathematical systems and control theory
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "53485153" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nju> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/3857954791#Place/princeton_n_j> ; # Princeton, N.J.
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/regelungstechnik> ; # Regelungstechnik
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/controleleer> ; # Controleleer
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/systemtheorie> ; # Systemtheorie
    schema:about <http://dewey.info/class/003/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/sistemas_analisis_de> ; # Sistemas, Análisis de
    schema:about <http://id.worldcat.org/fast/877085> ; # Control theory
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/control_teoria_de> ; # Control, Teoría de
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/aufsatzsammlung> ; # Aufsatzsammlung
    schema:about <http://id.worldcat.org/fast/1141385> ; # System analysis
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/kontrolltheorie> ; # Kontrolltheorie
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/systeemanalyse> ; # Systeemanalyse
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/commande_theorie_de_la> ; # Commande, Théorie de la
    schema:about <http://experiment.worldcat.org/entity/work/data/3857954791#Topic/systemanalyse> ; # Systemanalyse
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/46132697> ; # Alexandre Megretski
    schema:contributor <http://viaf.org/viaf/54977642> ; # Vincent Blondel
    schema:copyrightYear "2004" ;
    schema:datePublished "2004" ;
    schema:description "Copositive Lyapunov functions / M.K. Camlibel, J.M. Schumacher -- The strong stabilization problem for linear time-varying systems / Avraham Feintuch -- Robustness of transient behavior / Diederich Hinrichsen, Elmar Plischke, Fabian Wirth -- Lie algebras and stability of switched nonlinear systems / Daniel Liberzon -- Robust stability test for interval fractional order linear systems / Ivo Petras, YangQuan Chen, Blas M. Vinagre -- Delay-independent and delay-dependent Aizerman problem / Vladimir Rasvan -- Open problems in control of linear discrete multidimensional systems / Li Xu, Zhiping Lin, Jiang-Qian Ying, Osami Saita, Yoshihia Anazawa -- An open problem in adaptative nonlinear control theory / Leonid S. Zhiteckij -- Generalized Lyapunov theory and its omega-transformable regions / Sheng-Gue Wang -- Smooth Lyapunov characterization of measurement to error stability / Brian P. INgalls, Eduardo D. Sontag -- Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations / Jean-Michel Coron -- A Hautus test for infinite-dimensional systems / Birgit Jacob, Hans Zwart -- Three problems in the field of observability / Phillippe Jouan -- Control of the KdV equation / Lionel Rosier -- H -- norm approximation / A.C. Antoulas, A. Astolfi -- Noniterative computation of optimal value in H control / Ben M. Chen -- Determining the least upper bound on the achievable delay margin / Daniel E. Davison, Daniel E. Miller -- Stable controller coefficient perturbation in floating point implementation / Jun Wu, Sheng Chen -- A conjecture on Lyapunov equations and principal angles in subspace identification / Katrien De Cock, Bart De Moor."@en ;
    schema:description "Stability and composition of transfer functions / Guillermo Fernandex-Anaya, Joan Carols Martinez-Garcia -- The realization problem of Herglotz-Nevalinna functions / Seppo Hassi, Henk de Snoo, Eduard Tsekanovskii -- Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? / Dmitry S. Kalyuzhniy-Verbovetsky -- Partial disturbance decoupling with stability / Juan Carlos Martinez-Garcia, Michel Malabre, Vladimir Kucera -- Is monopoli's model reference adaptive controller correct? A.S. Morse -- Model reduction of delay systems / Jonathan R. Partington -- Schur extremal problems / Lev Sakhnovich -- The elusive iff test for time-controllability of behaviors / Amol J. Sasane -- A Farkas lemma for behavioral inequalities / A.A. (Tonny) ten Dam, J.W. (Hans) Nieuwenhuis -- Regular feedback implementability of linear differential behaviors / H.L. Trentelman -- Riccati stability / Erik I. Verriest -- State and first order representations / Jan C. Willems -- Projection of state space realizations / Antoine Vandendorpe, Paul Van Dooren -- On error of estimation and minimum of cost for wide band noise driven system / Agamirza E. Bashirov -- On the stability of random matrices / Giuseppe C. Calafiore, Fabrizio Davvene -- Aspects of Fisher geometry for stochastic linear systems / Bernard Hanzon, Ralf Peeters -- On the convergence of normal forms for analytic control systems / Wei Kang, Arthur J. Krener."@en ;
    schema:description "Minimum time control of the Kepler equation / Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles -- Linearization of linearly controllable systems / R. Devanathan -- Bases of Lie algebras and a continuous CBH formula / Matthias Kawski -- An extended gradient conjecture / Luis Carlos Martins Jr., Geraldo Nunes Silva -- Optimal transaction costs from a Stackelberg perspective / Geert Jan Olsder -- Does cheap control solve a singular nonlinear quadratic problem? / Yuri V. Orlov -- Delta-sigma modulator synthesis / Anders Rantzer -- Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra / G.M. Sklyar, S. Yu. Ignatovich -- Dynamics of principal and minor component flows / U. Helmke, S. Yoshizawa, R. Evans, J.H. Manton, and I.M.Y. Mareels -- L2-induced gains of switched linear systems / Joao P. Hespanha -- The state partitioning problem of quantized systems / Jan Lunze -- Feedback control in flowshops / S.P. Sethi and Q. Zhang -- Decentralized control with communication between controllers / Jan H. van Schuppen -- Infinite dimensional backstepping for nonlinear parabolic PDEs / Andras Balogh, Miroslave Krstic -- The dynamical Lame system with boundary control: on the structure of reachable sets / M.I. Belishev -- Null-controllability of the heat equation in unbounded domains / Sorin Micu, Enrique Zuazua -- Is the conservative wave equation regular? / George Weiss -- Exact controllability of the semilinear wave equation / Xu Zhang, Enrique Zuazua -- Some control problems in electromagnetics and fluid dynamics / Lorella Fatone, Maria Cristina Recchioni, Francesco Zirilli."@en ;
    schema:description "Stability of a nonlinear adaptive system for filtering and parameter estimation / Masoud Karimi-Ghartemani, Alireza K. Ziarani -- Root-clustering for multivariate polynomials and robust stability analysis / Pierre-Alexandre Bliman -- When is a pair of matrices stable? Vincent D. Blondel, Jacques Theys, John N. Tsitsiklis -- Freeness of multiplicative matrix semigroups / Vincent D. Blondel, Julien Cassaigne, Juhani Karhumaki -- Vector-valued quadratic forms in control theory / Francesco Bullo, Jorge Cortes, Andrew D. Lewis, Sonia Martinez -- Nilpotent bases of distributions / Henry G. Hermes, Matthias Kawski -- What is the characteristic polynomial of a signal flow graph? Andrew D. Lewis -- Open problems in randomized analysis / Onur Toker."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/3857954791> ;
    schema:genre "Aufgabensammlung"@en ;
    schema:inLanguage "en" ;
    schema:name "Unsolved problems in mathematical systems and control theory"@en ;
    schema:productID "53485153" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/53485153#PublicationEvent/princeton_n_j_princeton_university_press_2004> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/3857954791#Agent/princeton_university_press> ; # Princeton University Press
    schema:reviews <http://www.worldcat.org/title/-/oclc/53485153#Review/-1812112703> ;
    schema:url <http://catdir.loc.gov/catdir/toc/fy0605/2003064802.html> ;
    schema:workExample <http://worldcat.org/isbn/9780691117485> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA4Y3894> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/53485153> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/3857954791#Agent/princeton_university_press> # Princeton University Press
    a bgn:Agent ;
    schema:name "Princeton University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/3857954791#Place/princeton_n_j> # Princeton, N.J.
    a schema:Place ;
    schema:name "Princeton, N.J." ;
    .

<http://experiment.worldcat.org/entity/work/data/3857954791#Topic/commande_theorie_de_la> # Commande, Théorie de la
    a schema:Intangible ;
    schema:name "Commande, Théorie de la"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/3857954791#Topic/control_teoria_de> # Control, Teoría de
    a schema:Intangible ;
    schema:name "Control, Teoría de"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/3857954791#Topic/sistemas_analisis_de> # Sistemas, Análisis de
    a schema:Intangible ;
    schema:name "Sistemas, Análisis de"@en ;
    .

<http://id.worldcat.org/fast/1141385> # System analysis
    a schema:Intangible ;
    schema:name "System analysis"@en ;
    .

<http://id.worldcat.org/fast/877085> # Control theory
    a schema:Intangible ;
    schema:name "Control theory"@en ;
    .

<http://viaf.org/viaf/46132697> # Alexandre Megretski
    a schema:Person ;
    schema:familyName "Megretski" ;
    schema:givenName "Alexandre" ;
    schema:name "Alexandre Megretski" ;
    .

<http://viaf.org/viaf/54977642> # Vincent Blondel
    a schema:Person ;
    schema:familyName "Blondel" ;
    schema:givenName "Vincent" ;
    schema:name "Vincent Blondel" ;
    .

<http://worldcat.org/isbn/9780691117485>
    a schema:ProductModel ;
    schema:isbn "0691117489" ;
    schema:isbn "9780691117485" ;
    .

<http://www.worldcat.org/title/-/oclc/53485153#Review/-1812112703>
    a schema:Review ;
    schema:itemReviewed <http://www.worldcat.org/oclc/53485153> ; # Unsolved problems in mathematical systems and control theory
    schema:reviewBody ""This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science."--Jacket." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.