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Exponential stability for linear time-delay systems with delay dependence. (English) Zbl 1035.93060
Summary: This paper focuses on the problem of advancing a theorem to estimate the stability bound of delay decay rate $$\alpha$$ and upper bound delay time $$\tau$$ to guarantee the stability of time-delay systems. Based on the Lyapunov-Krasovskij functional techniques and linear matrix inequality tools, exponential stability and decay rate for linear time-delay systems are also derived. These results are shown to be less conservative than those reported in the literature. Examples are included to illustrate our results.

##### MSC:
 93D20 Asymptotic stability in control theory 93C23 Control/observation systems governed by functional-differential equations
##### Keywords:
Exponential stability; Time delay; Delay dependence
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##### References:
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