Unsolved problems in mathematical systems and control theory
[Book]
/ edited by Vincent D. Blondel, Alexandre Megretski
Princeton, N.J.
: Princeton University Press,
, c2004.
xii, 334 p. , 24 cm.
Electronic
Includes bibliographical references.
Pt. 1. Linear systems -- Problem 1.1. Stability and composition of transfer functions / Guillermo Fernandez-Anaya and Juan Carlos Mortinez-Garcia -- Problem 1.2. The realization problem for Herglotz-Nevanlinna functions / Seppo Hassi, Henk de Snoo and Eduard Tsekanovskii -- Problem 1.3. Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? / Dmitry S. Kalyuzhniy-Verbovetzky -- Problem 1.4. Partial disturbance decoupling with stability / Juan Carlos Martinez-Carcia, Michel Malabre and Vladimir Kucera -- Problem 1.5. Is Monopoli's model reference adaptive controller correct? / A. S. Morse -- Problem 1.6. Model reduction of delay systems / Jonathan R. Partington -- Problem 1.7. Schur extremal problems / Lev Sakhnovich -- Problem 1.8. The elusive iff test for time-controllability of behaviors / Amol J. Sasane -- Problem 1.9. A Farkas lemma for behavioral inequalities / A. A. (Tonny) ten Dam and J. W. (Hans) Nieuwenhuis -- Problem 1.10. Regular feedback implementability of linear differential behaviors / H. L. Trentelman -- Problem 1.11. Riccati stability / Erik I. Verriest -- Problem 1.12. State and first order representations / Jan C. Willems -- Problem 1.13. Projection of state space realizations / Antoine Vandendorpe and Paul Van Dooren -- Pt. 2. Stochastic systems -- Problem 2.1. On error of estimation and minimum of cost for wide band noise driven systems / Agamirza E. Bashirov -- Problem 2.2. On the stability of random matrices / Giuseppe C. Calafiore and Fabrizio Dabbene -- Problem 2.3. Aspects of fisher geometry for stochastic linear systems / Bernard Hanzon and Ralf Peeters -- Problem 2.4. On the convergence of normal forms for analytic control systems / Wei Kang and Arthur J. Krener -- Pt. 3. Nonlinear systems -- Problem 3.1. Minimum time control of the Kepler equation / Jean-Baptiste Caillau, Joseph Gergaud and Joseph Noailles -- Problem 3.2. Linearization of linearly controllable systems / R. Devanathan -- Problem 3.3. Bases for lie algebras and a continuous CBH formula / Matthias Kawski -- Problem 3.4. An extended gradient conjecture / Luis Carlos Martins, Jr. and Geraldo Nunes Silva -- Problem 3.5. Optimal transaction costs from a Stackelberg perspective / Geert Jan Olsder -- Problem 3.6. Does cheap control solve a singular nonlinear quadratic problem? / Yuri V. Orlov -- Problem 3.7. Dalta-Sigma modulator synthesis / Anders Rantzer -- Problem 3.8. Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra / G. M. Sklyar and S. Yu Ignatovich -- Problem 3.9. Dynamics of principal and minor component flows / U. Helmke, S. Yoshizawa, R. Evans, J. H. Manton and I. M. Y. Mareels -- Pt. 4. Discrete event, hybrid systems -- Problem 4.1. L[subscript 2]-induced gains of switched linear systems / Joao P. Hespanha -- Problem 4.2. The state partitioning problem of quantized systems / Jan Lunze -- Problem 4.3. Feedback control in flowshops / S. P. Sethi and Q. Zhang -- Problem 4.4. Decentralized control with communication between controllers / Jan H. van Schuppen -- Pt. 5. Distributed parameter systems -- Problem 5.1. Infinite dimensional backstepping for nonlinear parabolic PDEs / Andras Balogh and Miroslav Krstic -- Problem 5.2. The dynamical lame system with boundary control: on the structure of teachable sets / M. I. Belishev -- Problem 5.3. Null-controllability of the heat equation in unbounded domains / Sorin Micu and Enrique Zuazua -- Problem 5.4. Is the conservative wave equation regular? / George Weiss -- Problem 5.5. Exact controllability of the semilinear wave equation / Xu Zhang and Enrique Zuazua -- Problem 5.6. Some control problems in electromagnetics and fluid dynamics / Lorella Fatone, Maria Cristina Recchioni and Francesco Zirilli -- Pt. 6. Stability, stabilization -- Problem 6.1. Copositive Lyapunov functions / M. K. Camlibel and J. M. Schumacher -- Problem 6.2. The strong stabilization problem for linear time-varying systems / Avraham Feintuch -- Problem 6.3. Robustness of transient behavior / Diederich Hinrichsen, Elmar Plischke and Fabian Wirth -- Problem 6.4. Lie algebras and stability of switched nonlinear systems / Daniel Liberzon -- Problem 6.5. Robust stability test for interval fractional order linear systems / Ivo Petras, YangQuan Chen and Blas M. Vinagre -- Problem 6.6. Delay-independent and delay-dependent Aizerman problem / Vladimir Rasvan -- Problem 6.7. Open problems in control of linear discrete multidimensional systems / Li Xu, Zhiping Lin, Jiang-Qian Ying, Osami Saito and Yoshihisa Anazawa -- Problem 6.8. An open problem in adaptative nonlinear control theory / Leonid S. Zhiteckij -- Problem 6.9. Generalized Lyapunov theory and its omega-transformable regions / Sheng-Guo Wang -- Problem 6.10. Smooth Lyapunov characterization of measurement to error stability / Brian P. Ingalls and Eduardo D. Sontag -- Pt. 7. Controllability, observability -- Problem 7.1. Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations / Jean-Michel Coron -- Problem 7.2. A hautus test for infinite-dimensional systems / Birgit Jacob and Hans Zwart -- Problem 7.3. Three problems in the field of observability / Philippe Jovan -- Problem 7.4. Control of the KdV equation / Lionel Rosier -- Pt. 8. Robustness, robust control -- Problem 8.1. H[infinity]-norm approximation / A. C. Antoulas and A. Astolfi -- Problem 8.2. Noniterative computation of optimal value in H[infinity] control / Ben M. Chen -- Problem 8.3. Determining the least upper bound on the achievable delay margin / Daniel E. Davison and Daniel E. Miller -- Problem 8.4. Stable controller coefficient perturbation in floating point implementation / Jun Wu and Sheng Chen -- Pt. 9. Identification, signal processing -- Problem 9.1. A conjecture on Lyapunov equations and principal angles in sub-space identification / Katrien De Cock and Bart De Moor -- Problem 9.2. Stability of a nonlinear adaptive system for filtering and parameter estimation / Masoud Karimi-Ghartemani and Alireza K. Ziarani -- Pt. 10. Algorithms, computation -- Problem 10.1. Root-clustering for multivariate polynomials and robust stability analysis / Pierre-Alexandre Bliman -- Problem 10.2. When is a pair of matrices stable? / Vincent D. Blondel, Jacques Theys and John N. Tsitsiklis -- Problem 10.3. Freeness of multiplicative matrix semigroups / Vincent D. Blondel, Julien Cassaigne and Juhani Karhumaki -- Problem 10.4. Vector-valued quadratic forms in control theory / Francesco Bullo, Jorge Cortes, Andrew D. Lewis and Sonia Martinez -- Problem 10.5. Nilpotent bases of distributions / Henry G. Hermes and Matthias Kawski -- Problem 10.6. What is the characteristic polynomial of a signal flow graph? / Andrew D. Lewis -- Problem 10.7. Open problems in randomized [mu] analysis / Onur Toker.