Open Problems in Mathematical Systems and Control Theory

Table of Contents

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   Book Overview
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   Chapter 1 Uniform asymptotic stability of linear time-varying systems
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   Chapter 2 Positive system realizations
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   Chapter 3 System approximation in the 2-norm
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   Chapter 4 Is it possible to recognize local controllability in a finite number of differentiations?
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   Chapter 5 Open problems in sequential parametric estimation
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   Chapter 6 Conditions for the existence and uniqueness of optimal matrix scalings
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   Chapter 7 Matrix inequality conditions for canonical factorization of rational transfer function matrices
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   Chapter 8 Open problems in ℓ 1 optimal control
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    Chapter 9 Efficient neural network learning
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    Chapter 10 Mechanical feedback control systems
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    Chapter 11 Three problems on the decidability and complexity of stability
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    Chapter 12 Simultaneous stabilization of linear systems and interpolation with rational functions
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    Chapter 13 Forbidden state control synthesis for timed Petri net models
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    Chapter 14 On matrix mortality in low dimensions
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    Chapter 15 Entropy and random feedback
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    Chapter 16 A stabilization problem
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    Chapter 17 Spectral factorization of a spectral density with arbitrary delays
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    Chapter 18 Lyapunov exponents and robust stabilization
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    Chapter 19 Regular spectral factorizations
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    Chapter 20 Convergence of an algorithm for the Riemannian SVD
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    Chapter 21 Some open questions related to flat nonlinear systems
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    Chapter 22 Approximation of complex µ
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    Chapter 23 Spectral value sets of infinite-dimensional systems
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    Chapter 24 Selection of the number of inputs and states
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    Chapter 25 Input-output gains of switched linear systems
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    Chapter 26 Robust stability of linear stochastic systems
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    Chapter 27 Monotonicity of performance with respect to its specification in H ∞ control
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    Chapter 28 Stable estimates in equation error identification: An open problem
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    Chapter 29 Elimination of latent variables in real differential algebraic systems
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    Chapter 30 How conservative is the circle criterion?
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    Chapter 31 On chaotic observer design
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    Chapter 32 The minimal realization problem in the max-plus algebra
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    Chapter 33 Input design for worst-case identification
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    Chapter 34 Max-plus-times linear systems
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    Chapter 35 Closed-loop identification and self-tuning
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    Chapter 36 To estimate the L 2 -gain of two dynamic systems
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    Chapter 37 Open problems in the area of pole placement
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    Chapter 38 An optimal control theory for systems defined over finite rings
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    Chapter 39 Re-initialization in discontinuous systems
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    Chapter 40 Control-Lyapunov functions
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    Chapter 41 Spectral Nevanlinna-Pick Interpolation
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    Chapter 42 Phase-sensitive structured singular value
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    Chapter 43 Conservatism of the standard upper bound test: Is sup( $${{\bar \mu } \mathord{\left/ {\vphantom {{\bar \mu } \mu }} \right. \kern-\nulldelimiterspace} \mu }$$ ) finite? Is it bounded by 2?
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    Chapter 44 When does the algebraic Riccati equation have a negative semi-definite solution?
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    Chapter 45 Representing a nonlinear input-output differential equation as an input-state-output system
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    Chapter 46 Shift policies in QR-like algorithms and feedback control of self-similar flows
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    Chapter 47 Equivalences of discrete-event systems and of hybrid systems
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    Chapter 48 Covering numbers for input-output maps realizable by neural networks
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    Chapter 49 A powerful generalization of the Carleson measure theorem?
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    Chapter 50 Lyapunov theory for high order differential systems
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    Chapter 51 Performance lower bound for a sampled-data signal reconstruction
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    Chapter 52 Coprimeness of factorizations over a ring of distributions
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    Chapter 53 Where are the zeros located?