Unsolved Problems in Mathematical Systems and Control Theory / / ed. by Alexandre Megretski, Vincent D. Blondel.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• MitwirkendeR: Anazawa, Yoshihisa,; Antoulas, A. C.,; Astolfi, A.,; Balogh, Andras,; Bashirov, Agamirza E.,; Belishev, M. I.,; Bliman, Pierre-Alexandre,; Blondel, Vincent D.,; Bullo, Francesco,; Caillau, Jean-Baptiste,; Calafiore, Giuseppe,; Cassaigne, Julien,; Chen, Ben M.,; Chen, Sheng,; Chen, Yang Quan,; Coron, Jean-Michel,; Cortés, Jorge,; Dabbene, Fabrizio,; Davison, Daniel E.,; De Cock, Katrien,; De Moor, Bart,; Devanathan, R.,; Evans, R.,; Fatone, Lorella,; Feintuch, Avraham,; Fernández-Anaya, G.,; Gergaud, Joseph,; Hanzon, Bernard,; Hassi, Seppo,; Helmke, U.,; Hermes, Henry G.,; Hespanha, João P.,; Hinrichsen, Diederich,; Ignatovich, S. Yu.,; Ingalls, Brian P.,; Jacob, Birgit,; Jouan, Philippe,; Kalyuzhniy-Verbovetzky, Dmitry S.,; Kang, Wei,; Karhumäki, Juhani,; Karimi-Ghartemani, Masoud,; Kawski, Matthias,; Krener, Arthur J.,; Krstic, Miroslav,; Kučera, V.,; Lewis, Andrew D.,; Liberzon, Daniel,; Lin, Zhiping,; Lunze, Jan,; Malabre, M.,; Manton, J.H.,; Mareels, I.M.Y.,; Martins, Luiz Carlos,; Martínez, Sonia,; Martínez-García, J. C.,; Micu, Sorin,; Miller, Daniel E.,; Morse, A. S.,; Nieuwenhuis, J.W. (Hans),; Noailles, Joseph,; Olsder, Geert Jan,; Orlov, Yuri V.,; Partington, Jonathan R.,; Peeters, Ralf,; Petráš, Ivo,; Plischke, Elmar,; Rantzer, Anders,; Recchioni, Maria Cristina,; Rosier, Lionel,; Răsvan, Vladimir,; Saito, Osami,; Sakhnovich, Lev,; Sasane, Amol,; Schumacher, J. M.,; Sethi, S. P.,; Silva, Geraldo Nunes,; Sklyar, G. M.,; Sontag, Eduardo D.,; Theys, Jacques,; Toker, Onur,; Trentelman, H. L.,; Tsekanovskĭ, Eduard,; Tsitsiklis, John N.,; Van Dooren, Paul,; Vandendorpe, Antoine,; Verriest, Erik I.,; Vinagre, Blas M.,; Wang, Sheng-Guo,; Weiss, George,; Willems, Jan C.,; Wirth, Fabian,; Wu, Jun,; Xu, Li,; Ying, Jiang-Qian,; Yoshizawa, S.,; Zhang, Q.,; Zhang, Xu,; Zhiteckij, Leonid S.,; Ziarani, Alireza K.,; Zirilli, Francesco,; Zuazua, Enrique,; Zwart, Hans,; de Snoo, Henk,; ten Dam, A. A. (Tonny),; van Schuppen, Jan H.,; Çamlıbel, M. K.,
• HerausgeberIn: Blondel, Vincent D.,; Megretski, Alexandre,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2009]; ©2004
• Year of Publication: 2009
• Edition: Course Book
• Language: English
• Physical Description: 1 online resource (352 p.) :; 1 line illus.
• Other title: Frontmatter --; Contents --; Preface --; Associate Editors --; Website --; PART 1. Linear Systems --; Problem 1.1 Stability and composition of transfer functions --; Problem 1.2 The realization problem for Herglotz-Nevanlinna functions --; Problem 1.3 Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? --; Problem 1.4 Partial disturbance decoupling with stability --; Problem 1.5 Is Monopoli's model reference adaptive controller correct? --; Problem 1.6 Model reduction of delay systems --; Problem 1.7 Schur extremal problems --; Problem 1.8 The elusive iff test for time-controllability of behaviours --; Problem 1.9 A Farkas lemma for behavioral inequalities --; Problem 1.10 Regular feedback implementability of linear differential behaviors --; Problem 1.11 Riccati stability --; Problem 1.12 State and first order representations --; Problem 1.13 Projection of state space realizations --; PART 2. Stochastic Systems --; Problem 2.1 On error of estimation and minimum of cost for wide band noise driven systems --; Problem 2.2 On the stability of random matrices --; Problem 2.3 Aspects of Fisher geometry for stochastic linear systems --; Problem 2.4 On the convergence of normal forms for analytic control systems --; PART 3. Nonlinear Systems --; Problem 3.1 Minimum time control of the Kepler equation --; Problem 3.2 Linearization of linearly controllable systems --; Problem 3.3 Bases for Lie algebras and a continuous CBH formula --; Problem 3.4 An extended gradient conjecture --; Problem 3.5 Optimal transaction costs from a Stackelberg perspective --; Problem 3.6 Does cheap control solve a singular nonlinear quadratic problem? --; Problem 3.7 Delta-Sigma modulator synthesis --; Problem 3.8 Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra --; Problem 3.9 Dynamics of principal and minor component flows --; PART 4. Discrete Event, Hybrid Systems --; Problem 4.1 L2-induced gains of switched linear systems --; Problem 4.2 The state partitioning problem of quantised systems --; Problem 4.3 Feedback control in flowshops --; Problem 4.4 Decentralized control with communication between controllers --; PART 5. Distributed Parameter Systems --; Problem 5.1 Infinite dimensional backstepping for nonlinear parabolic PDEs --; Problem 5.2 The dynamical Lame system with boundary control: on the structure of reachable sets --; Problem 5.3 Null-controllability of the heat equation in unbounded domains --; Problem 5.4 Is the conservative wave equation regular? --; Problem 5.5 Exact controllability of the semi-linear wave equation --; Problem 5.6 Some control problems in electromagnetics and fluid dynamics --; PART 6. Stability, Stabilization --; Problem 6.1 Copositive Lyapunov functions --; Problem 6.2 The strong stabilization problem for linear time-varying systems --; Problem 6.3 Robustness of transient behavior --; Problem 6.4 Lie algebras and stability of switched nonlinear systems --; Daniel Liberzon --; Problem 6.6 Delay independent and delay dependent Aizerman problem --; Problem 6.7 Open problems in control of linear discrete multidimensional systems --; Problem 6.8 An open problem in adaptative nonlinear control theory --; Problem 6.9 Generalized Lyapunov theory and its omega-transformable regions --; Problem 6.10 Smooth Lyapunov characterization of measurement to error stability --; PART 7. Controllability, Observability --; Problem 7.1 Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations --; Problem 7.2 A Hautus test for infinite-dimensional systems --; Problem 7.3 Three problems in the field of observability --; Problem 7.4 Control of the KdV equation --; PART 8. Robustness, Robust Control --; Problem 8.1 H∞-norm approximation --; Problem 8.2 Non-iterative computation of optimal value in H∞ control --; Problem 8.3 Determining the least upper bound on the achievable delay margin --; Problem 8.4 Stable controller coefficient perturbation in floating point implementation --; PART 9. Identification, Signal Processing --; Problem 9.1 A conjecture on Lyapunov equations and principal angles in subspace identification --; Problem 9.2 Stability of a nonlinear adaptive system for filtering and parameter estimation --; PART 10. Algorithms, Computation --; Problem 10.1 Root-clustering for multivariate polynomials and robust stability analysis --; Problem 10.2 When is a pair of matrices stable? --; Problem 10.3 Freeness of multiplicative matrix semigroups --; Problem 10.4 Vector-valued quadratic forms in control theory --; Problem 10.5 Nilpotent bases of distributions --; Problem 10.6 What is the characteristic polynomial of a signal flow graph? --; Problem 10.7 Open problems in randomized μ analysis
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400826155; 9783110442502
• DOI: 10.1515/9781400826155
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Alexandre Megretski, Vincent D. Blondel.

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. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.