Stability and input-to-state stability for stochastic systems and applications

DOI10.1016/j.amc.2015.06.070zbMath1410.93134OpenAlexW918450476MaRDI QIDQ668137

Xinzhi Liu, Mohamad S. Alwan

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.070

zbMATH Keywords

comparison principleLyapunov methodnonlinear stochastic systemsLuenberger observer(\(h_{0}\), \(h\))-stabilityfeedforward (or cascade) systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Input-output approaches in control theory (93D25) Stability of solutions to ordinary differential equations (34D20) Stochastic stability in control theory (93E15)

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Practical stochastic uniform input-to-state stability of perturbed triangular systems ⋮ Input-to-state stability for switched stochastic nonlinear systems with mode-dependent random impulses ⋮ Unified stability criteria of asynchronous discrete-time impulsive switched delayed systems: bounded admissible edge-dependent average dwell time method ⋮ Stability analysis of discrete-time switched stochastic non-autonomous systems with external inputs and time-varying delays under partially unstable subsystems ⋮ Non-fragile asynchronous \(H_{\infty}\) control for uncertain stochastic memory systems with Bernoulli distribution ⋮ Generalized exponential input-to-state stability of nonlinear systems with time delay ⋮ Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method ⋮ Higher order moment stability region for Markov jump systems based on cumulant generating function

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