Uniform Stabilizability of Parameter-Dependent Systems with State and Control Delays by Smooth-Gain Controls

Valery Y. Glizer ()
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Valery Y. Glizer: ORT Braude College of Engineering

Journal of Optimization Theory and Applications, 2019, vol. 183, issue 1, No 3, 50-65

Abstract: Abstract A linear time-invariant system with multiple point-wise and distributed delays in state and control is considered. The feature of the system is that its coefficients depend on a parameter, varying in some finite closed interval. An exponential stabilizability of this system by a memory-less state-feedback control with a parameter-dependent gain is studied. Using the linear matrix inequality approach, sufficient conditions for such a stabilizability with a smooth gain in the control are derived. An illustrative example is presented.

Keywords: Linear parameter-dependent system; State and control delays; Memory-less parameter-dependent smooth-gain control; Stabilizability; Lyapunov–Krasovskii functional; Linear matrix inequality; 34K06; 93C23; 93D15 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-019-01557-0

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