LEADER 10301nam 22006854a 450 001 9910778098003321 005 20200520144314.0 010 $a1-282-08732-0 010 $a9786612087325 010 $a1-4008-2615-2 024 7 $a10.1515/9781400826155 035 $a(CKB)1000000000756329 035 $a(EBL)445429 035 $a(OCoLC)367684332 035 $a(SSID)ssj0000265548 035 $a(PQKBManifestationID)11226948 035 $a(PQKBTitleCode)TC0000265548 035 $a(PQKBWorkID)10312359 035 $a(PQKB)11773691 035 $a(DE-B1597)446416 035 $a(OCoLC)979578331 035 $a(DE-B1597)9781400826155 035 $a(Au-PeEL)EBL445429 035 $a(CaPaEBR)ebr10284076 035 $a(CaONFJC)MIL208732 035 $a(MiAaPQ)EBC445429 035 $a(PPN)170248054 035 $a(EXLCZ)991000000000756329 100 $a20031117d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aUnsolved problems in mathematical systems and control theory$b[electronic resource] /$fedited by Vincent D. Blondel, Alexandre Megretski 205 $aCourse Book 210 $aPrinceton, N.J. $cPrinceton University Press$dc2004 215 $a1 online resource (351 p.) 300 $aDescription based upon print version of record. 311 $a0-691-11748-9 320 $aIncludes bibliographical references. 327 $t Frontmatter -- $tContents -- $tPreface -- $tAssociate Editors -- $tWebsite -- $tPART 1. Linear Systems -- $tProblem 1.1 Stability and composition of transfer functions / $rFernández-Anaya, G. / Martínez-García, J. C. -- $tProblem 1.2 The realization problem for Herglotz-Nevanlinna functions / $rHassi, Seppo / de Snoo, Henk / Tsekanovsk?, Eduard -- $tProblem 1.3 Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? / $rKalyuzhniy-Verbovetzky, Dmitry S. -- $tProblem 1.4 Partial disturbance decoupling with stability / $rMartínez-García, J. C. / Malabre, M. / Ku?era, V. -- $tProblem 1.5 Is Monopoli's model reference adaptive controller correct? / $rMorse, A. S. -- $tProblem 1.6 Model reduction of delay systems / $rPartington, Jonathan R. -- $tProblem 1.7 Schur extremal problems / $rSakhnovich, Lev -- $tProblem 1.8 The elusive iff test for time-controllability of behaviours / $rSasane, Amol -- $tProblem 1.9 A Farkas lemma for behavioral inequalities / $rten Dam, A. A. (Tonny) / Nieuwenhuis, J.W. (Hans) -- $tProblem 1.10 Regular feedback implementability of linear differential behaviors / $rTrentelman, H. L. -- $tProblem 1.11 Riccati stability / $rVerriest, Erik I. -- $tProblem 1.12 State and first order representations / $rWillems, Jan C. -- $tProblem 1.13 Projection of state space realizations / $rVandendorpe, Antoine / Van Dooren, Paul -- $tPART 2. Stochastic Systems -- $tProblem 2.1 On error of estimation and minimum of cost for wide band noise driven systems / $rBashirov, Agamirza E. -- $tProblem 2.2 On the stability of random matrices / $rCalafiore, Giuseppe / Dabbene, Fabrizio -- $tProblem 2.3 Aspects of Fisher geometry for stochastic linear systems / $rHanzon, Bernard / Peeters, Ralf -- $tProblem 2.4 On the convergence of normal forms for analytic control systems / $rKang, Wei / Krener, Arthur J. -- $tPART 3. Nonlinear Systems -- $tProblem 3.1 Minimum time control of the Kepler equation / $rCaillau, Jean-Baptiste / Gergaud, Joseph / Noailles, Joseph -- $tProblem 3.2 Linearization of linearly controllable systems / $rDevanathan, R. -- $tProblem 3.3 Bases for Lie algebras and a continuous CBH formula / $rKawski, Matthias -- $tProblem 3.4 An extended gradient conjecture / $rMartins, Luiz Carlos / Silva, Geraldo Nunes -- $tProblem 3.5 Optimal transaction costs from a Stackelberg perspective / $rOlsder, Geert Jan -- $tProblem 3.6 Does cheap control solve a singular nonlinear quadratic problem? / $rOrlov, Yuri V. -- $tProblem 3.7 Delta-Sigma modulator synthesis / $rRantzer, Anders -- $tProblem 3.8 Determining of various asymptotics of solutions of nonlinear time-optimal problems via right ideals in the moment algebra / $rSklyar, G. M. / Ignatovich, S. Yu. -- $tProblem 3.9 Dynamics of principal and minor component flows / $rHelmke, U. / Yoshizawa, S. / Evans, R. / Manton, J.H. / Mareels, I.M.Y. -- $tPART 4. Discrete Event, Hybrid Systems -- $tProblem 4.1 L2-induced gains of switched linear systems / $rHespanha, João P. -- $tProblem 4.2 The state partitioning problem of quantised systems / $rLunze, Jan -- $tProblem 4.3 Feedback control in flowshops / $rSethi, S. P. / Zhang, Q. -- $tProblem 4.4 Decentralized control with communication between controllers / $rvan Schuppen, Jan H. -- $tPART 5. Distributed Parameter Systems -- $tProblem 5.1 Infinite dimensional backstepping for nonlinear parabolic PDEs / $rBalogh, Andras / Krstic, Miroslav -- $tProblem 5.2 The dynamical Lame system with boundary control: on the structure of reachable sets / $rBelishev, M. I. -- $tProblem 5.3 Null-controllability of the heat equation in unbounded domains / $rMicu, Sorin / Zuazua, Enrique -- $tProblem 5.4 Is the conservative wave equation regular? / $rWeiss, George -- $tProblem 5.5 Exact controllability of the semi-linear wave equation / $rZhang, Xu / Zuazua, Enrique -- $tProblem 5.6 Some control problems in electromagnetics and fluid dynamics / $rFatone, Lorella / Recchioni, Maria Cristina / Zirilli, Francesco -- $tPART 6. Stability, Stabilization -- $tProblem 6.1 Copositive Lyapunov functions / $rÇaml?bel, M. K. / Schumacher, J. M. -- $tProblem 6.2 The strong stabilization problem for linear time-varying systems / $rFeintuch, Avraham -- $tProblem 6.3 Robustness of transient behavior / $rHinrichsen, Diederich / Plischke, Elmar / Wirth, Fabian -- $tProblem 6.4 Lie algebras and stability of switched nonlinear systems / $rLiberzon, Daniel -- $tDaniel Liberzon / $rPetrá?, Ivo / Chen, Yang Quan / Vinagre, Blas M. -- $tProblem 6.6 Delay independent and delay dependent Aizerman problem / $rR?svan, Vladimir -- $tProblem 6.7 Open problems in control of linear discrete multidimensional systems / $rXu, Li / Lin, Zhiping / Ying, Jiang-Qian / Saito, Osami / Anazawa, Yoshihisa -- $tProblem 6.8 An open problem in adaptative nonlinear control theory / $rZhiteckij, Leonid S. -- $tProblem 6.9 Generalized Lyapunov theory and its omega-transformable regions / $rWang, Sheng-Guo -- $tProblem 6.10 Smooth Lyapunov characterization of measurement to error stability / $rIngalls, Brian P. / Sontag, Eduardo D. -- $tPART 7. Controllability, Observability -- $tProblem 7.1 Time for local controllability of a 1-D tank containing a fluid modeled by the shallow water equations / $rCoron, Jean-Michel -- $tProblem 7.2 A Hautus test for infinite-dimensional systems / $rJacob, Birgit / Zwart, Hans -- $tProblem 7.3 Three problems in the field of observability / $rJouan, Philippe -- $tProblem 7.4 Control of the KdV equation / $rRosier, Lionel -- $tPART 8. Robustness, Robust Control -- $tProblem 8.1 H?-norm approximation / $rAntoulas, A. C. / Astolfi, A. -- $tProblem 8.2 Non-iterative computation of optimal value in H? control / $rChen, Ben M. -- $tProblem 8.3 Determining the least upper bound on the achievable delay margin / $rDavison, Daniel E. / Miller, Daniel E. -- $tProblem 8.4 Stable controller coefficient perturbation in floating point implementation / $rWu, Jun / Chen, Sheng -- $tPART 9. Identification, Signal Processing -- $tProblem 9.1 A conjecture on Lyapunov equations and principal angles in subspace identification / $rDe Cock, Katrien / De Moor, Bart -- $tProblem 9.2 Stability of a nonlinear adaptive system for filtering and parameter estimation / $rKarimi-Ghartemani, Masoud / Ziarani, Alireza K. -- $tPART 10. Algorithms, Computation -- $tProblem 10.1 Root-clustering for multivariate polynomials and robust stability analysis / $rBliman, Pierre-Alexandre -- $tProblem 10.2 When is a pair of matrices stable? / $rBlondel, Vincent D. / Theys, Jacques / Tsitsiklis, John N. -- $tProblem 10.3 Freeness of multiplicative matrix semigroups / $rBlondel, Vincent D. / Cassaigne, Julien / Karhumäki, Juhani -- $tProblem 10.4 Vector-valued quadratic forms in control theory / $rBullo, Francesco / Cortés, Jorge / Lewis, Andrew D. / Martínez, Sonia -- $tProblem 10.5 Nilpotent bases of distributions / $rHermes, Henry G. / Kawski, Matthias -- $tProblem 10.6 What is the characteristic polynomial of a signal flow graph? / $rLewis, Andrew D. -- $tProblem 10.7 Open problems in randomized ? analysis / $rToker, Onur 330 $aThis 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. 606 $aSystem analysis 606 $aControl theory 606 $aCommande, The?orie de la 615 0$aSystem analysis. 615 0$aControl theory. 615 6$aCommande, The?orie de la. 676 $a003 686 $aSK 880$2rvk 701 $aBlondel$b Vincent$01576417 701 $aMegretski$b Alexandre$01576418 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910778098003321 996 $aUnsolved problems in mathematical systems and control theory$93854201 997 $aUNINA