Exponential l2 − l∞ filtering for discrete‐time switched systems under a new framework

DOI10.1002/acs.1280zbMath1417.93321OpenAlexW1845125649MaRDI QIDQ4908473

Linlin Hou, Guangdeng Zong, Yu-Qiang Wu

Publication date: 6 March 2013

Published in: International Journal of Adaptive Control and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/acs.1280

zbMATH Keywords

polytopic uncertaintyaverage dwell timediscrete-time switched systemsrobust exponential stabilityexponential \(l_{2} - l_{\infty }\) filtering

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Sensitivity (robustness) (93B35) Control/observation systems with incomplete information (93C41) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Decentralized PI tracking control for non-Gaussian large-scale interconnected distribution systems ⋮ New stability analysis for systems with interval time-varying delay ⋮ Stabilization of discrete-time planar switched linear systems with impulse ⋮ New exponential stability conditions of switched BAM neural networks with delays ⋮ Global stabilization design for switched power integrator triangular systems with different powers ⋮ A simplified descriptor system approach to delay-dependent stability and robust performance analysis for discrete-time systems with time delays ⋮ Fault detection for discrete‐time switched singular time‐delay systems: an average dwell time approach ⋮ \(l_2 - l_\infty\) filtering of discrete-time switched systems via admissible edge-dependent switching signals

Cites Work

• \(H_{\infty }\) filter for discrete-time switched systems with time-varying delays
• Robust \(l_2\)-\(l_\infty\) control for uncertain discrete-time switched systems with delays
• Weighted \(H_\infty \) model reduction for linear switched systems with time-varying delay
• Stability analysis for discrete-time switched time-delay systems
• Robust \(l_{2}-l_{\infty}\) filter for uncertain discrete-time switched time-delay systems
• Robust control of polytopic systems by convex optimization
• Guaranteed cost and \(H_{\infty }\) filtering for discrete-time polytopic uncertain systems with time delay
• Sliding mode control of switched hybrid systems with time-varying delay
• Convolution and Hankel operator norms for linear systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• $H_\infty$ Filtering of Discrete-Time Switched Systems With State Delays via Switched Lyapunov Function Approach
• Robust L/sub 2/-L∞ filtering for uncertain systems with multiple time-varying state delays
• Exponential H_∞ filtering for uncertain discrete‐time switched linear systems with average dwell time: A µ‐dependent approach

This page was built for publication: Exponential l₂ − l_∞ filtering for discrete‐time switched systems under a new framework