Passivity Analysis of Markovian Jumping Neural Networks with Leakage Time-Varying Delays
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2012
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Abstract
1 his paper is concerned with the passivity analysis of Markovian jumping neural networks with leakage time-varying delays. Based
on a Lyapunov functional that accounts for the mixed time delays, a leakage delay-dependent passivity conditions are derived in
terms of linear matrix inequalities (LMIs). Ihe mixed delays includes leakage time-varying delays, discrete time-varying delays, and
distributed time-varying delays. By employing a novel Lyapunov-Krasovski! functional having triple-integral terms, new passivity
leakage delay-dependent criteria are established to guarantee the passivity performance. This performance not only depends on
the upper bound of the time-varying leakage delay a(t) but also depends on the upper bound of the derivative of the time-varying
leakage delay While e.stimating the upper hound of derivative of the J.yapunov-Krasov.skii functional, the discrete and distributed
delays should be treated so as to appropriately develop less conservative results. Two numerical examples are given to show the
validity and potential of the developed criteria.