New noise‐to‐state stability and instability criteria for random nonlinear systems

DOI10.1002/RNC.4773zbMath1440.93262OpenAlexW2988784814MaRDI QIDQ5219401

Weihai Zhang, Liqiang Yao

Publication date: 11 March 2020

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.4773

zbMATH Keywords

noise-to-state stabilityrandom nonlinear systemsuniformly asymptotically stable function (UASF)noise-to-state instability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (7)

Improved stability theorems of random nonlinear time delay systems and their application ⋮ Stability analysis of random nonlinear systems with time-varying delay and its application ⋮ Noise-to-state stability of random impulsive delay systems with multiple random impulses ⋮ Stabilization of random nonlinear systems subject to deception attacks ⋮ Stability criteria of random delay differential systems subject to random impulses ⋮ Indefinite multiple Lyapunov functions ofpth moment input‐to‐state stability andpth moment integral input‐to‐state stability for the nonlinear time‐varying stochastic systems with Markovian switching ⋮ Further stability results for random nonlinear systems with stochastic impulses

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