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Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. (English) Zbl 1136.93437
Summary: This paper proposes an approach for the robust stability of uncertain systems with interval time-varying delay. The key features of the approach include the introduction of uncorrelated augmented matrix items into the Lyapunov functional and the use of a tighter bounding technology. Unlike existing methodologies, the proposed approach involves neither free weighting matrices nor any model transformation. It can, however, lead to much less conservative stability criteria than the existing ones for the systems under consideration. Numerical examples show that the proposed criteria improve the existing results significantly with much less computational effort.

##### MSC:
 93D21 Adaptive or robust stabilization 93C41 Control problems with incomplete information 34K50 Stochastic functional-differential equations
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##### References:
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