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A further refinement of discretized Lyapunov functional method for the stability of time-delay systems. (English) Zbl 1015.93053
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.

MSC:
93D20Asymptotic stability of control systems
93C23Systems governed by functional-differential equations
34K20Stability theory of functional-differential equations