Stochastic Barbalat's Lemma and Its Applications

DOI10.1109/TAC.2011.2175071zbMath1369.93707OpenAlexW2034405183WikidataQ125060956 ScholiaQ125060956MaRDI QIDQ5352852

Xue-Jun Xie, Yuanqing Xia, Zhao-Jing Wu

Publication date: 8 September 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2011.2175071

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) General theory of stochastic processes (60G07) Sample path properties (60G17)

Related Items

A novel fuzzy control with filter-based event-triggered mechanism for nonlinear uncertain stochastic systems suffered input hysteresis, Global stabilization via output feedback of stochastic nonlinear time‐delay systems with time‐varying measurement error: A Lyapunov–Razumikhin approach, An analysis and design method for a class of nonlinear systems with nested saturations, Pulse width modulation control for stochastic Lagrange systems, Event-triggered-based adaptive asymptotic tracking control for stochastic nonlinear time-delay systems with actuator and sensor faults, Type-B nussbaum function-based fault-tolerant control for a class of strict-feedback nonlinear systems, T-S fuzzy observer-based adaptive tracking control for biological system with stage structure, Adaptive inventory control based on fuzzy neural network under uncertain environment, Adaptive asymptotic tracking control for a class of uncertain switched systems via dynamic surface technique, Global state feedback stabilization of high-order nonlinear systems with multiple time-varying delays, Finite-time stabilisation for high-order nonlinear systems with low-order and high-order nonlinearities, Global output feedback stabilisation of high-order nonlinear systems with low-order and high-order nonlinearities, A new class of strict Lyapunov functions for nonlinear time-varying systems, Adaptive Output Feedback Control for a Class of Uncertain Stochastic Nonlinear Systems With Unknown Time-Delays, Adaptive neural asymptotic tracking control for a class of stochastic non-strict-feedback switched systems, Adaptive exponential stabilization for a class of stochastic nonholonomic systems, Adaptive finite‐time stabilization of stochastic nonlinear systems with the powers of positive odd rational numbers, Stability Analysis of Stochastic Impulsive Switched Systems with Deterministic State-Dependent Impulses and Switches, Observer-based decentralized control of large-scale stochastic high-order feedforward systems with multi time delays, Uniform stability of homogeneous time-varying systems, Correction: FRACTIONAL ORDER BARBALAT’S LEMMA AND ITS APPLICATIONS IN THE STABILITY OF FRACTIONAL ORDER NONLINEAR SYSTEMS, Stability analysis of fractional differential equations with the short-term memory property, Prescribed tracking error fixed-time control of stochastic nonlinear systems, Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy, State feedback stabilisation for stochastic high-order feedforward nonlinear systems with input time-delay