On the partial stability in probability of nonlinear stochastic systems

DOI10.1134/S0005117919050059zbMath1420.93035OpenAlexW2946323751MaRDI QIDQ2320277

V. I. Vorotnikov, Yu. G. Martyshenko

Publication date: 22 August 2019

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117919050059

zbMATH Keywords

stochastic differential equationsmethod of Lyapunov functionspartial stability in probabilitysystems of Itô

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Backstepping control for stochastic nonlinear strict-feedback systems based on observer with incomplete measurements ⋮ Partial stability of systems of Itô linear delay differential equations ⋮ On the partial stability problem for nonlinear discrete-time stochastic systems

Cites Work

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• On partial stability theory of nonlinear dynamic systems
• Stability in mean of partial variables for stochastic reaction-diffusion systems with Markovian switching
• New criterion of partial asymptotic stability in probability of stochastic differential equations
• A distributed dynamics for virus-spread control
• Partial asymptotic stability in probability of stochastic differential equations
• On partial detectability of the nonlinear dynamic systems
• Stability and stabilization of stochastic systems with respect to some of the variables
• On the theory of partial stability
• Exponential stability with respect to part of the variables for a class of nonlinear stochastic systems with Markovian switchings
• Stability in part of the variables of ``partial equilibria of systems with aftereffect
• Stochastic finite-time partial stability, partial-state stabilization, and finite-time optimal feedback control
• Partial stability and control: the state-of-the-art and future trends
• Stochastic stability and control
• On the stability of systems with random parameters
• Stochastic Differential Equations with Markovian Switching

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