Open Problems in Mathematical Systems and Control Theory

Front Matter....Pages i-xii
Uniform asymptotic stability of linear time-varying systems....Pages 1-5
Positive system realizations....Pages 7-10
System approximation in the 2-norm....Pages 11-14
Is it possible to recognize local controllability in a finite number of differentiations?....Pages 15-18
Open problems in sequential parametric estimation....Pages 19-22
Conditions for the existence and uniqueness of optimal matrix scalings....Pages 23-25
Matrix inequality conditions for canonical factorization of rational transfer function matrices....Pages 27-29
Open problems in ℓ 1 optimal control....Pages 31-33
Efficient neural network learning....Pages 35-38
Mechanical feedback control systems....Pages 39-44
Three problems on the decidability and complexity of stability....Pages 45-51
Simultaneous stabilization of linear systems and interpolation with rational functions....Pages 53-59
Forbidden state control synthesis for timed Petri net models....Pages 61-66
On matrix mortality in low dimensions....Pages 67-69
Entropy and random feedback....Pages 71-74
A stabilization problem....Pages 75-78
Spectral factorization of a spectral density with arbitrary delays....Pages 79-82
Lyapunov exponents and robust stabilization....Pages 83-88
Regular spectral factorizations....Pages 89-93
Convergence of an algorithm for the Riemannian SVD....Pages 95-98
Some open questions related to flat nonlinear systems....Pages 99-103
Approximation of complex µ ....Pages 105-107
Spectral value sets of infinite-dimensional systems....Pages 109-113
Selection of the number of inputs and states....Pages 115-119
Input-output gains of switched linear systems....Pages 121-124
Robust stability of linear stochastic systems....Pages 125-129
Monotonicity of performance with respect to its specification in H ∞ control....Pages 131-136
Stable estimates in equation error identification: An open problem....Pages 137-140
Elimination of latent variables in real differential algebraic systems....Pages 141-147
How conservative is the circle criterion?....Pages 149-151
On chaotic observer design....Pages 153-156
The minimal realization problem in the max-plus algebra....Pages 157-162
Input design for worst-case identification....Pages 163-166
Max-plus-times linear systems....Pages 167-170
Closed-loop identification and self-tuning....Pages 171-176
To estimate the L 2 -gain of two dynamic systems....Pages 177-179
Open problems in the area of pole placement....Pages 181-191
An optimal control theory for systems defined over finite rings....Pages 193-201
Re-initialization in discontinuous systems....Pages 203-209
Control-Lyapunov functions....Pages 211-216
Spectral Nevanlinna-Pick Interpolation....Pages 217-220
Phase-sensitive structured singular value....Pages 221-224
When does the algebraic Riccati equation have a negative semi-definite solution?....Pages 225-228
Representing a nonlinear input-output differential equation as an input-state-output system....Pages 229-237
Shift policies in QR-like algorithms and feedback control of self-similar flows....Pages 239-243
Equivalences of discrete-event systems and of hybrid systems....Pages 245-249
Covering numbers for input-output maps realizable by neural networks....Pages 251-257
A powerful generalization of the Carleson measure theorem?....Pages 259-265
Lyapunov theory for high order differential systems....Pages 267-272
Performance lower bound for a sampled-data signal reconstruction....Pages 273-276
Coprimeness of factorizations over a ring of distributions....Pages 277-279
Where are the zeros located?....Pages 281-284
Back Matter....Pages 285-288
....Pages 289-289