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- W2340211353 abstract "Ac onverse Lyapunov theorem is established for discrete-time stochastic systems with non-unique solutions. In order to prove the result, mild regularity conditions are imposed on the set-valued mapping that characterizes the update of the system state. It is show nt hat global asymptotic stability in probability implies the existence of a continuous Lyapunov function, smooth outside of the attractor, that decreases in expected value along solutions. Additional results on th er obustness of global asymptotic stability in probability are used to construct a Lyapunov function with the desired regularity properties. I. INTRODUCTION" @default.
- W2340211353 created "2016-06-24" @default.
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- W2340211353 date "2012-01-01" @default.
- W2340211353 modified "2023-09-27" @default.
- W2340211353 title "Ac onverse Lyapunov theorem for asymptotic stability in probability" @default.
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