A novel condition for fixed-time stability and its application in controller design for robust fixed-time chaos stabilization against Hölder continuous uncertainties

DOI10.1007/s00500-020-05415-4zbMath1498.93623OpenAlexW3109390230MaRDI QIDQ2099869

Alireza Khanzadeh, Mahdi Pourgholi, Elham Amini Boroujeni

Publication date: 21 November 2022

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-020-05415-4

zbMATH Keywords

fixed-time stabilitychaos stabilizationfixed stabilization timeHölder continuous uncertainties

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Adaptive or robust stabilization (93D21) Complex behavior and chaotic systems of ordinary differential equations (34C28) Chaos control for problems involving ordinary differential equations (34H10) Finite-time stability (93D40)

Related Items (1)

Fixed-time integral sliding mode control design for a class of uncertain nonlinear systems based on a novel fixed-time stability condition

Cites Work

• Unnamed Item
• Uniformly continuous differintegral sliding mode control of nonlinear systems subject to Hölder disturbances
• Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties
• Fixed-time consensus protocols for multi-agent systems with linear and nonlinear state measurements
• Signed-average consensus for networks of agents: a nonlinear fixed-time convergence protocol
• Fixed-time dynamic surface high-order sliding mode control for chaotic oscillation in power system
• Nonsingular fixed-time consensus tracking for second-order multi-agent networks
• Finite-time stabilization of uncertain non-autonomous chaotic gyroscopes with nonlinear inputs
• Robust fixed-time synchronization of delayed Cohen-Grossberg neural networks
• Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design
• Fixed-time sliding mode controller design for synchronization of complex dynamical networks
• Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems
• Finite-time and fixed-time stabilization: implicit Lyapunov function approach
• Adaptive finite-time control of chaos in permanent magnet synchronous motor with uncertain parameters
• Finite-time stabilization of a non-autonomous chaotic rotating mechanical system
• Stability notions and Lyapunov functions for sliding mode control systems
• Finite time integral sliding mode control of hypersonic vehicles
• Analysis of a 3D chaotic system
• Nonlinear and chaos control of a micro-electro-mechanical system by using second-order fast terminal sliding mode control
• Robust stabilization of MIMO systems in finite/fixed time
• Homogeneous Approximation, Recursive Observer Design, and Output Feedback
• Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization
• Leader–follower fixed-time consensus of multi-agent systems with high-order integrator dynamics
• Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems

This page was built for publication: A novel condition for fixed-time stability and its application in controller design for robust fixed-time chaos stabilization against Hölder continuous uncertainties