Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems

DOI10.1016/j.nahs.2020.100936zbMath1483.93502OpenAlexW3043848803MaRDI QIDQ2061194

Huijuan Li, An-Ping Liu

Publication date: 13 December 2021

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2020.100936

zbMATH Keywords

asymptotic stabilityimpulsive systemimpulsive controlindefinite Lyapunov function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Impulsive control/observation systems (93C27)

Related Items (7)

Finite-time dissipative control for discrete-time stochastic delayed systems with Markovian switching and interval parameters ⋮ Jacobi stability analysis and impulsive control of a 5D self-exciting homopolar disc dynamo ⋮ Global dynamics and control of malicious signal transmission in wireless sensor networks ⋮ Stability analysis of time-varying switched systems via indefinite difference Lyapunov functions ⋮ Finite-time Lyapunov functions and impulsive control design ⋮ Fixed-time synchronization of delayed impulsive inertial neural networks with discontinuous activation functions via indefinite LKF method ⋮ Bi-directional impulse chaos control in crystal growth

Cites Work

• Unnamed Item
• Unnamed Item
• A compendium of comparison function results
• Adaptive impulsive synchronization of uncertain chaotic systems
• Impulsive synchronization of two nonidentical chaotic systems with time-varying delay
• Practical adaptive synchronization of a class of uncertain chaotic systems
• Robust \(H_\infty \) stabilization for uncertain switched impulsive control systems with state delay: An LMI approach
• Stability criteria for impulsive differential equations in terms of two measures
• Adaptive stabilization of impulsive switched linear time-delay systems: a piecewise dynamic gain approach
• Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function
• On stability, \(L_2\)-gain and \(H_\infty\) control for switched systems
• Stability of dynamical systems. On the role of monotonic and non-monotonic Lyapunov functions
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Stability results for impulsive differential systems with applications to population growth models
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Impulsive control
• Analysis and design of impulsive control systems
• Vector Lyapunov Function based Input-to-State Stability of Stochastic Impulsive Switched Time-Delay Systems
• Stability Analysis of Impulsive Switched Time-Delay Systems With State-Dependent Impulses
• Less conservative conditions for asymptotic stability of impulsive control systems
• Impulsive control theory

This page was built for publication: Asymptotic stability analysis via indefinite Lyapunov functions and design of nonlinear impulsive control systems