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Zbl 1015.93053
Gu, Keqin
A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. (English)
[J] Int. J. Control 74, No.10, 967-976 (2001). ISSN 0020-7179; ISSN 1366-5820/e

The author further refines the discretized Lyapunov functional method for stability problems of time-delay systems based on a combination of an integral inequality and a variable elimination technique. The results accelerate the convergence to the analytical solution for systems without uncertainty. For uncertain systems the obtained result was less conservative. Two numerical examples are given to demonstrate the effectiveness of the method.
[Jinde Cao (Nanjing)]

MSC 2000:: *93D20 Asymptotic stability of control systems
93C23 Systems governed by functional-differential equations
34K20 Stability theory of functional-differential equations

Keywords: stability; uncertain systems; time-delay systems; discretized Lyapunov functional method; integral inequality

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