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New results of stability analysis for systems with time-varying delay. (English) Zbl 1185.93112
Summary: This paper studies the problem of stability analysis for continuous-time systems with time-varying delay. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities. The merits of the proposed results lie in their less conservatism, which are realized by choosing different Lyapunov matrices in the decomposed integral intervals and estimating the upper bound of some cross term more exactly. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method.

MSC:
93D09 Robust stability
93C15 Control/observation systems governed by ordinary differential equations
34K35 Control problems for functional-differential equations
34D20 Stability of solutions to ordinary differential equations
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