A Converse Lyapunov Theorem and Robustness for Asymptotic Stability in Probability

DOI10.1109/TAC.2014.2322431zbMath1360.93640OpenAlexW2012487366MaRDI QIDQ2983027

Anantharaman Subbaraman, João P. Hespanha, Andrew R. Teel

Publication date: 16 May 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2014.2322431

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20)

Related Items (11)

Robust global recurrence for a class of stochastic hybrid systems ⋮ Asymptotic stability in probability for stochastic Boolean networks ⋮ A Lyapunov theorem certifying global weak reachability for stochastic difference inclusions with random inputs ⋮ Event-triggered control for a class of nonlinear systems with random reset controllers ⋮ Stability analysis for stochastic hybrid systems: a survey ⋮ On the equivalence between global recurrence and the existence of a smooth Lyapunov function for hybrid systems ⋮ A new class of strict Lyapunov functions for nonlinear time-varying systems ⋮ New results in global stabilization for stochastic nonlinear systems ⋮ Stabilization of hybrid systems under state constraints ⋮ Control analysis and design via randomised coordinate polynomial minimisation ⋮ Classical converse theorems in Lyapunov's second method

This page was built for publication: A Converse Lyapunov Theorem and Robustness for Asymptotic Stability in Probability