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Convex optimization approach to dynamic output feedback control for delay differential systems of neutral type. (English) Zbl 1113.93048

The paper is concerned with the design problem of an output dynamic feedback controller for linear delay differential systems of the neutral type. The problem of stabilization of this class of systems is of the main concern. A dynamic output feedback controller is designed which guarantees the asymptotic stability of the systems. A stabilization criterion in terms of matrix inequalities is derived and solved by convex optimization algorithms. A numerical example is also presented to illustrate the design procedure.

MSC:

93B52 Feedback control
93B51 Design techniques (robust design, computer-aided design, etc.)
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93D15 Stabilization of systems by feedback
93D20 Asymptotic stability in control theory
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References:

[16] Gu, K., An Integral Inequality in the Stability Problem of Time-Delay Systems, Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 2805–2810, 2000.
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