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Stability of impulsive hopfield neural networks with Markovian switching and time-varying delays

Ramachandran Raja, Rathinasamy Sakthivel, Selvaraj Marshal Anthoni, Hyunsoo Kim (2011)

International Journal of Applied Mathematics and Computer Science

The paper is concerned with stability analysis for a class of impulsive Hopfield neural networks with Markovian jumping parameters and time-varying delays. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process. By employing a Lyapunov functional approach, new delay-dependent stochastic stability criteria are obtained in terms of linear matrix inequalities (LMIs). The proposed criteria can be easily checked by using some standard numerical...

Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback

Patrick Florchinger (2016)

Kybernetika

In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this...

Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback

Patrick Florchinger (2018)

Kybernetika

In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest of this...

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