Finite-time stabilization of weak solutions for a class of non-local Lipschitzian stochastic nonlinear systems with inverse dynamics

DOI10.1016/j.automatica.2018.07.015zbMath1406.93381OpenAlexW2895623156MaRDI QIDQ1716610

Shu-Jun Liu, Gui-Hua Zhao, Jian-Chao Li

Publication date: 5 February 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2018.07.015

zbMATH Keywords

weak solutionfinite-time stabilitynonlocal Lipschitzian stochastic nonlinear systemsstochastic inverse dynamics

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Stochastic stability in control theory (93E15)

Related Items (13)

Finite-Time Stability and Instability of Nonlinear Impulsive Systems ⋮ Finite-time stochastic integral input-to-state stability and its applications ⋮ Stability analysis of switched stochastic nonlinear functional systems ⋮ Existence of weak solutions for stochastic nonlinear impulsive systems ⋮ Output tracking for nonlinear stochastic systems driven by bounded and colored noises ⋮ On the stochastic finite‐time stability for switched stochastic nonlinear systems ⋮ Domain stabilization in probability in a fixed time for nonlinear stochastic systems via feedback control ⋮ Fixed time stability of impulsive stochastic nonlinear time‐varying systems ⋮ Stochastic finite-time stability and stabilization for stochastic nonlinear systems with impulse effects ⋮ Logic‐based switching finite‐time stabilization with applications in mechatronic systems ⋮ Finite‐time stabilization of Markovian switched stochastic high‐order nonlinear systems with inverse dynamics ⋮ New Lyapunov conditions of stochastic finite-time stability and instability of nonlinear time-varying SDEs ⋮ Output feedback domain stabilization in probability in fixed time for nonlinear stochastic systems

Cites Work

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• Finite-time stabilization of stochastic nonlinear systems in strict-feedback form
• Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form
• Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers
• Finite-time stability and instability of stochastic nonlinear systems
• Decentralized adaptive output-feedback stabilization for large-scale stochastic nonlinear systems
• Adaptive backstepping controller design using stochastic small-gain theorem
• A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems
• A combined backstepping and small-gain approach to adaptive output feedback control
• Some properties of finite-time stable stochastic nonlinear systems
• Non-singular terminal sliding mode control of rigid manipulators
• Global stability and stabilization of more general stochastic nonlinear systems
• Adaptive partial-state feedback control for stochastic high-order nonlinear systems with stochastic input-to-state stable inverse dynamics
• Global finite-time stabilization of a class of uncertain nonlinear systems
• Global Finite-Time Stabilization via Time-Varying Feedback for Uncertain Nonlinear Systems
• Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems
• Finite Time Controllers
• One Dimensional Stochastic Differential Equations with No Strong Solution
• Finite-Time Stability of Continuous Autonomous Systems
• A Global High-Gain Finite-Time Observer
• Finite-time state-feedback control for a class of stochastic high-order nonlinear systems
• Global finite-time stabilisation for a class of stochastic nonlinear systems by output feedback
• Finite-Time Stabilization of Nonlinear Systems With Parametric and Dynamic Uncertainties
• Finite-Time Stabilization via Sliding Mode Control
• State-Feedback Control of High-Order Stochastic Nonlinear Systems with SiISS Inverse Dynamics
• Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems
• A First Course in Ordinary Differential Equations
• Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization

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