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- Title
Robust stabilization of differential systems with state delays.
- Authors
MEDINA, RIGOBERTO; MARTINEZ, CARLOS
- Abstract
We discuss the problem of stabilizability by linear state feedback for perturbed linear time-varying systems with state delays. Assuming appropriate conditions on the perturbation term, it is shown that if every frozen-time control system is stabilizable, then the corresponding non-autonomous control system is exponentially stabilizable, provided that the rate of variation of the system coefficient matrices is sufficiently small. As an application of the main results, we study the exponential stabilizability of a general non-linear control system with several state delays. It is also shown that, for frozen-time control systems, with a sufficiently small rate of variation of coefficient matrices, a stabilizing feedback gain control matrix can be designed from the positive definite solutions of a frozen-time algebraic Riccati equation.
- Subjects
RICCATI equation; ROBUST control; STABILITY theory; DIFFERENTIAL equations; FEEDBACK control systems
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 2, p359
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnv048