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Zusatztext "This book covers a wide range of systems from linear to nonlinear! deterministic to stochastic! finite dimensional to infinite dimensional! and so on. It includes at least some set of problems that will interest any researcher in the field." -Kemin Zhou! Louisiana State University Informationen zum Autor Vincent D. Blondel is Professor of Applied Mathematics and Head of the Department of Mathematical Engineering at the University of Louvain, Louvain-la-Neuve, Belgium. Alexandre Megretski is Associate Professor of Electrical Engineering at Massachusetts Institute of Technology. Klappentext 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. Zusammenfassung 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 chapter sets forth a different problem presented by a researcher in the particular area and in the same way. Inhaltsverzeichnis Frontmatter Preface xiii Associate Editors xv Website xvii PART 1. LINEAR SYSTEMS 1 Problem 1.1. Stability and composition of transfer functions Guillermo Fernández-Anaya, Juan Carlos Martínez-García 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 Martínez-García, 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 con...
