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A Fuzzy Lyapunov Function Approach to Positive Ll Observer Design for Positive Fuzzy Semi-Markovian Switching Systems With Its Application

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021
This paper concerns a positive $\mathcal {L}_{1}$ observer for positive nonlinear semi-Markovian switching systems (MSSs) via the expansion of Taylor formula and the fuzzy Lyapunov function approach, in which semi-Markovian switching parameters ...
Wenhai Qi   +4 more
semanticscholar   +1 more source

A Fuzzy Lyapunov Function Method to Stability Analysis of Fractional-Order T–S Fuzzy Systems

IEEE transactions on fuzzy systems, 2021
This article investigates the stability analysis and stabilization problems for fractional-order T–S fuzzy systems via fuzzy Lyapunov function method.
Xiaofei Fan, Zhanshan Wang
semanticscholar   +1 more source

Adaptive Fixed-Time Control for High-Order Stochastic Nonlinear Time-Delay Systems: An Improved Lyapunov–Krasovskii Function

IEEE Transactions on Cybernetics, 2023
In this article, the adaptive tracking control problem is considered for high-order stochastic nonlinear time-delay systems in fixed-time. Being different from existing results, an improved Lyapunov–Krasovskii function is designed, which can not only ...
Ke Xu, Huanqing Wang, P. X. Liu
semanticscholar   +1 more source

Barrier Lyapunov Function-Based Adaptive Fuzzy FTC for Switched Systems and Its Applications to Resistance–Inductance–Capacitance Circuit System

IEEE Transactions on Cybernetics, 2020
In this article, the adaptive fault-tolerant control (FTC) problem is solved for a switched resistance–inductance–capacitance (RLC) circuit system. Due to the existence of faults which may lead to instability of subsystems, the innovation of this article
Lei Liu   +4 more
semanticscholar   +1 more source

Dynamic Lyapunov functions

Automatica, 2011
Abstract Lyapunov functions are a fundamental tool to investigate the stability properties of equilibrium points in linear or nonlinear systems. Unfortunately, even if the existence of Lyapunov functions for asymptotically stable equilibrium points is guaranteed by converse Lyapunov theorems, the actual computation of the analytic expression of the ...
Sassano M., Astolfi A.
openaire   +3 more sources

Founded Lyapunov–Bogdanov Functionals

Differential Equations, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borukhov, V. T., Kvetko, O. M.
openaire   +2 more sources

Barrier Lyapunov Function Based Learning Control of Hypersonic Flight Vehicle With AOA Constraint and Actuator Faults

IEEE Transactions on Cybernetics, 2019
This paper investigates a fault-tolerant control of the hypersonic flight vehicle using back-stepping and composite learning. With consideration of angle of attack (AOA) constraint caused by scramjet, the control laws are designed based on barrier ...
B. Xu, Zhong-ke Shi, F. Sun, Wei He
semanticscholar   +1 more source

Control Minkowski–Lyapunov functions

Automatica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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