Stability of stochastic jump-parameter semi-Markov linear systems of differential equations

DOI10.1080/17442500802006436zbMath1153.60389OpenAlexW2013594360MaRDI QIDQ3549301

Kenneth J. Hochberg, Efraim Shmerling

Publication date: 22 December 2008

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500802006436

zbMATH Keywords

asymptotic stabilitysemi-Markov processjump-parameter system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Markov renewal processes, semi-Markov processes (60K15) Ordinary differential equations and systems with randomness (34F05) Stochastic systems in control theory (general) (93E03)

Related Items (7)

Sliding mode control for semi-Markovian jump systems via output feedback ⋮ Stochastic stability and stabilization for stochastic differential semi‐Markov jump systems with incremental quadratic constraints ⋮ Advances on modeling and control of semi-Markovian switching systems: a survey ⋮ Reduced-order adaptive sliding mode control for nonlinear switching semi-Markovian jump delayed systems ⋮ Mode-dependent nonrational output feedback control for continuous-time semi-Markovian jump systems with time-varying delay ⋮ Stochastic stability and robust stabilization of semi-Markov jump linear systems ⋮ Distributed mode-dependent state estimation for semi-Markovian jumping neural networks via sampled data

Cites Work

• Solution of jump parameter systems of differential and difference equations with semi-Markov coefficients

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