Stability analysis and \(H_{\infty}\) model reduction for switched discrete-time time-delay systems

DOI10.1155/2014/101473zbMath1407.93113OpenAlexW2008645931WikidataQ59062811 ScholiaQ59062811MaRDI QIDQ1717661

Zheng-Fan Liu, Chen-Xiao Cai, Wen-Yong Duan

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/101473

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) System structure simplification (93B11)

Related Items (4)

Model Reduction and Realization Theory of Linear Switched Systems ⋮ Finite-frequency model order reduction of discrete-time linear time-delayed systems ⋮ Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework ⋮ Balanced truncation for linear switched systems

Cites Work

• Unnamed Item
• Model reduction of discrete-time switched linear systems over finite-frequency ranges
• Stability theory of switched dynamical systems
• Model simplification for switched hybrid systems
• Stability and \(L_{2}\)-gain analysis for switched delay systems: a delay-dependent method
• Stability analysis for discrete-time switched time-delay systems
• Introduction to functional differential equations
• Disturbance attenuation properties of time-controlled switched systems
• Stabilization of discrete-time switched singular time-delay systems under asynchronous switching
• Robust \(H_\infty\) control of discrete switched system with time delay
• \(H_{\infty }\) model reduction for discrete-time singular systems
• \(H_\infty \) model reduction for uncertain switched linear discrete-time systems
• An LMI-Based Algorithm for Designing Suboptimal Static $\cal H_2/\cal H_\infty$ Output Feedback Controllers
• Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays
• Stability Analysis of Switched Time Delay Systems
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• A cone complementarity linearization algorithm for static output-feedback and related problems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• H_∞model reduction for discrete time-delay systems: delay-independent and dependent approaches
• Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
• Model order-reduction for discrete-time switched linear systems

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