Stability of random-switching systems of differential equations

DOI10.1090/S0033-569X-09-01092-8zbMath1163.93036MaRDI QIDQ3632486

Chao Zhu, Qingshuo Song, G. George Yin

Publication date: 11 June 2009

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2009-67-02/S0033-569X-09-01092-8/home.html

zbMATH Keywords

stabilityhybrid systemsufficient conditionrandom switchingnecessary condition

Mathematics Subject Classification ID

Related Items (11)

Output controllability of the discrete-time linear switched systems ⋮ The novel sufficient conditions of almost sure exponential stability for semi-Markov jump linear systems ⋮ Stability analysis of Markov switched stochastic differential equations with both stable and unstable subsystems ⋮ Moment exponential stability of random delay systems with two-time-scale Markovian switching ⋮ Almost sure convergence of observers for switched linear systems ⋮ Stability analysis for stochastic hybrid systems: a survey ⋮ Stability Verification for a Class of Stochastic Hybrid Systems by Semidefinite Programming ⋮ Asymptotic stability of time-varying switched systems under perturbations ⋮ Invariant density, Lyapunov exponent, and almost sure stability of Markovian-regime-switching linear systems ⋮ On competitive Lotka-Volterra model in random environments ⋮ Razumikhin-type theorems on moment exponential stability of functional differential equations involving two-time-scale Markovian switching

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