Stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters via novel free matrix–based integral …

T Wu, L Xiong, J Cao, H Zhang - International Journal of …, 2019 - Wiley Online Library
T Wu, L Xiong, J Cao, H Zhang
International Journal of Robust and Nonlinear Control, 2019Wiley Online Library
This paper investigates the issues of stochastic stability and extended dissipativity analysis
for uncertain neutral systems with semi‐Markovian jumping parameters. A new criterion
about the stochastic stability and extended dissipativity of uncertain neutral systems with
semi‐Markovian jumping parameters is obtained based on the new Lyapunov‐Krasovskii
functionals together with the introduced novel free matrix–based integral inequality. The
major contribution of this study is that the stochastic stability and extended dissipativity …
Summary
This paper investigates the issues of stochastic stability and extended dissipativity analysis for uncertain neutral systems with semi‐Markovian jumping parameters. A new criterion about the stochastic stability and extended dissipativity of uncertain neutral systems with semi‐Markovian jumping parameters is obtained based on the new Lyapunov‐Krasovskii functionals together with the introduced novel free matrix–based integral inequality. The major contribution of this study is that the stochastic stability and extended dissipativity concept for uncertain neutral systems with semi‐Markovian jumping parameters can be developed to simultaneously analyze the solutions of the L2 − L performance, H action, passivity behavior, and dissipativity by selecting different weighting matrices. Finally, several interesting numerical examples are provided to show the effectiveness and less conservatism of the proposed method.
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