Buch, Englisch, 360 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 711 g
ISBN: 978-0-691-11748-5
Verlag: Princeton University Press
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.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Frontmatter
Preface xiii
Associate Editors xv
Website xvii
PART 1. LINEAR SYSTEMS 1
Problem 1.1. Stability and composition of transfer functions
Guillermo Fern?ndez-Anaya, Juan Carlos Mart?nez-Garc?a 3
Problem 1.2. The realization problem for Herglotz-Nevanlinna functions
Seppo Hassi, Henk de Snoo, Eduard Tsekanovskii 8
Problem 1.3. Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization?
Dmitry S. Kalyuzhniy-Verbovetzky 14
Problem 1.4. Partial disturbance decoupling with stability
Juan Carlos Mart?nez-Garc?a, Michel Malabre, Vladimir Kucera 18
Problem 1.5. Is Monopoli's model reference adaptive controller correct?
A. S. Morse 22
Problem 1.6. Model reduction of delay systems
Jonathan R. Partington 29
Problem 1.7. Schur extremal problems
Lev Sakhnovich 33
Problem 1.8. The elusive iff test for time-controllability of behaviors
Amol J. Sasane 36
Problem 1.9. A Farkas lemma for behavioral inequalities
A.A. (Tonny) ten Dam, J.W. (Hans) Nieuwenhuis 40
Problem 1.10. Regular feedback implementability of linear differential behaviors
H. L. Trentelman 44
Problem 1.11. Riccati stability
Erik I. Verriest 49
Problem 1.12. State and first order representations
Jan C. Willems 54
Problem 1.13. Projection of state space realizations
Antoine Vandendorpe, Paul Van Dooren 58
PART 2. STOCHASTIC SYSTEMS 65
Problem 2.1. On error of estimation and minimum of cost for wide band noise driven systems
Agamirza E. Bashirov 67
Problem 2.2. On the stability of random matrices
Giuseppe C. Calafiore, Fabrizio Dabbene 71
Problem 2.3. Aspects of Fisher geometry for stochastic linear systems
Bernard Hanzon, Ralf Peeters 76
Problem 2.4. On the convergence of normal forms for analytic control systems
Wei Kang, Arthur J. Krener 82
PART 3. NONLINEAR SYSTEMS 87
Problem 3.1. Minimum time control of the Kepler equation
Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles 89
Problem 3.2. Linearization of linearly controllable systems
R. Devanathan 93
Problem 3.3. Bases for Lie algebras and a continuous CBH formula
Matthias Kawski 97
Problem 3.4. An extended gradient conjecture
Luis Carlos Martins Jr., Geraldo Nunes Silva 103
Problem 3.5. Optimal transaction costs from a Stackelberg perspective
Geert Jan Olsder 107
Problem 3.6. Does cheap control solve a singular nonlinear quadratic problem?
Yuri V. Orlov 111
Problem 3.7. Delta-Sigma modulator synthesis
Anders Rantzer 114
Problem 3.8. Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra
G. M. Sklyar, S. Yu. Ignatovich 117
Problem 3.9. Dynamics of principal and minor component flows
U. Helmke, S. Yoshizawa, R. Evans, J.H. Manton, and I.M.Y. Mareels 122
PART 4. DISCRETE EVENT, HYBRID SYSTEMS 129
Problem 4.1. L2-induced gains of switched linear systems
Jo?o P. Hespanha 131
Problem 4.2. The state partitioning problem of quantized systems
Jan Lunze 134
Problem 4.3. Feedback control in flowshops
S.P. Sethi and Q. Zhang 140
Problem 4.4. Decentralized control with communication between controllers
Jan H. van Schuppen 144
PART 5. DISTRIBUTED PARAMETER SYSTEMS 151
Problem 5.1. Infinite dimensional backstepping for nonlinear parabolic PDEs
Andras Balogh, Miroslav Krstic 153
Problem 5.2. The dynamical Lame system with boundary control: on the structure of reachable sets
M.I. Belishev 160
Problem 5.3. Null-controllability of the heat equation in unbounded domains
Sorin Micu, Enrique Zuazua 163
Problem 5.4. Is the conservative wave equation regular?
George Weiss 169
Problem 5.5. Exact controllability of the semilinear wave equation
Xu Zhang, Enrique Zuazua 173
Problem 5.6. Some control problems in electromagnetics and fluid dynamics
Lorella Fatone, Maria Cristina Recchioni, F
