Robust stability criteria for discrete-time switched neural networks with various activation functions

作者: A. Arunkumar , R. Sakthivel , K. Mathiyalagan , S. Marshal Anthoni

DOI: 10.1016/J.AMC.2012.04.020

关键词: Control theoryEquilibrium pointLyapunov functionDwell timeArtificial neural networkExponential stabilityDiscrete time and continuous timeMathematicsStability (probability)Full state feedback

摘要: Abstract This paper is concerned with the problem of robust stabilization and H ∞ control for a class discrete-time switched neural networks various activation functions mixed time delays. By using average dwell approach together multiple Lyapunov function technique, we propose state feedback controller to guarantee that robustly exponentially stable disturbance attenuation level γ > 0 about its equilibrium point all admissible uncertainties. The obtained results are formulated in terms linear matrix inequalities (LMIs) which can be easily verified by MATLAB LMI toolbox. Finally, numerical examples simulation result given illustrate effectiveness applicability results.

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