## Delay-range-dependent stability for systems with time-varying delay.(English)Zbl 1111.93073

Summary: This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

### MSC:

 93D30 Lyapunov and storage functions 93C05 Linear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations
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### References:

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