Stabilization with optimal performance for dissipative discrete-time impulsive hybrid systems

DOI10.1155/2010/278240zbMath1211.93104OpenAlexW2055765545WikidataQ59254382 ScholiaQ59254382MaRDI QIDQ978536

Bin Liu, Lamei Yan

Publication date: 25 June 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225137

zbMATH Keywords

feedback controlLyapunov function methodglobally uniformly asymptotically stablediscrete-time impulsive hybrid systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (3)

Positive solutions for a boundary-value problem with Riemann-Liouville fractional derivative ⋮ Positive solutions for a system of fractional integral boundary value problem ⋮ Positive solutions for a \(n\)th-order impulsive differential equation with integral boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Stability by Liapunov's direct method. With applications
• Feedback stabilization of dissipative impulsive dynamical systems
• Robust impulsive synchronization of discrete dynamical networks
• Robust stability and \(H_\infty \)-control of uncertain impulsive systems with time-delay
• Optimal control of impulsive hybrid systems
• Dissipativity theory for discontinuous dynamical systems: basic input, state, and output properties, and finite-time stability of feedback interconnections
• Dissipative dynamical systems: basic input-output and state properties
• On impulse and continuous observation control design in Kalman filtering problem
• Switched and impulsive systems. Analysis, design and applications.
• Robust dissipativity for uncertain impulsive dynamical systems
• New results and examples in nonlinear feedback stabilization
• Vector dissipativity theory for discrete-time large-scale nonlinear dynamical systems
• Dissipative dynamical systems. I: General theory
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• RobustH_∞control of uncertain linear impulsive stochastic systems
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• The stability of nonlinear dissipative systems
• Linear Matrix Inequalities in System and Control Theory
• Dissipativity Theory for Switched Systems
• Global Exponential Stability of Impulsive Neural Networks With Variable Delay: An LMI Approach
• On hybrid impulsive and switching systems and application to nonlinear control
• Solving Impulsive Control Problems by Discrete-Time Dynamic Optimization Methods
• Uniform stability of discrete impulsive systems
• Impulsive control theory

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