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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.

93D20 Asymptotic stability in control theory
93C23 Control/observation systems governed by functional-differential equations
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