Optimization Approach to the Robustness of Linear Delay Systems

M. L. Ni and M. J. Er
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M. L. Ni: Nanyang Technological University
M. J. Er: Nanyang Technological University

Journal of Optimization Theory and Applications, 2001, vol. 111, issue 1, No 8, 155-163

Abstract: Abstract By using the Lyapunov equation approach and an improved Razumikhin-type theorem, this paper presents a new robust stability criterion for a linear system subject to delayed time-varying nonlinear perturbations. Then, by using a parameter optimization technique, an efficient algorithm is derived for determining a desirable matrix for the Lyapunov equation. As a consequence, less conservative robust stability bounds for the perturbed system are achieved. Numerical examples are included to demonstrate the effectiveness of the proposed approach.

Keywords: Parameter optimization; time-delay systems; robust stability; Lyapunov equation (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017527532270

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