Abstract
The stability for a class of uncertain linear systems with interval time-varying delays is studied. Based on the delay-dividing approach, the delay interval is partitioned into two subintervals. By constructing an appropriate Lyapunov-Krasovskii functional and using the convex combination method and the improved integral inequality, the delay-dependent stability criteria with less conservation are derived. Finally, some numerical examples are given to show the effectiveness and superiority of the proposed method.
Highlights
Time delay arises in many systems like manufacturing, telecommunications, chemical industry, power, transportation, and so on
Motivated by the above research, this paper considers the problem of delay-dependent stability for uncertain systems with interval time-varying delay
The paper investigates the stability of uncertain linear systems with interval time-varying delay
Summary
Time delay arises in many systems like manufacturing, telecommunications, chemical industry, power, transportation, and so on. It is generally regarded as a main source of instability and poor performance, which has a negative impact on the performance of the system [1,2,3]. When dealing with integral terms which are generated in the process of functional derivation, one common point of the above reference is the use of Jensen’s inequality. It is meaningful to obtain less conservative stability criterion by combining the delay-dividing approach and integral inequality. By constructing an appropriate Lyapunov-Krasovskii functional and using the convex combination method and the improved integral inequality, a new less conservative delay-dependent stability criterion is proposed. The results suggest that the proposed method is less conservative than some known results
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