DOI: 10.3724/SP.J.1249.2017.02181

Journal of Shenzhen University Science and Engineering (深圳大学学报理工版) 2017/34:2 PP.181-187

Stability analysis of time-varying delaysystem based on an improved Lyapunov function

We provide a new delay-range-dependent criterion for interval time-varying delay linear systems. By using Jensen inequality method and reciprocally convex combination technique,the upper bound of the derivative of our improved Lyapunov function can be estimated more tightly. And then newless conservative stability criteria are derived. Numerical examples are given to illustrate the effectiveness and the improvementof the proposed criterion.

Key words:interval time-varying delay,reciprocally convex combination,linear matrix inequality,stability criteria,Lyapunov improved functional,Jensen integration

ReleaseDate:2017-04-10 18:10:20

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