Stabilization and optimization of switched linear systems

DOI10.1016/j.automatica.2005.12.022zbMath1137.93405OpenAlexW1970866107MaRDI QIDQ875979

Zhendong Sun

Publication date: 16 April 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2005.12.022

zbMATH Keywords

optimizationdifferential inclusionsstabilizationswitched systemsswitching signal

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20)

Related Items (10)

Unnamed Item ⋮ Stability of discrete-time switched linear systems with ω-regular switching sequences ⋮ The finite-time boundedness and control analysis of switched nonlinear time-varying delay systems based on auxiliary matrices ⋮ Weakly Birkhoff recurrent switching signals, almost sure and partial stability of linear switched dynamical systems ⋮ Simultaneous state and output disturbance estimations for a class of switched linear systems with unknown inputs ⋮ Active mode identification and continuous state estimation for switched linear systems with unknown inputs and slow switching signal ⋮ DMAC: Deadline-Miss-Aware Control ⋮ Finite-time \(H_\infty\) dynamic output feedback control for nonlinear impulsive switched systems ⋮ Data-driven adaptive optimal control of linear uncertain systems with unknown jumping dynamics ⋮ Stability, L₂‐gain and asynchronous H_∞ control for continuous‐time switched systems

Cites Work

• Optimal control of switching systems
• Continuous version of Filippov-Wažewski relaxation theorem
• Complexity of stability and controllability of elementary hybrid systems
• Controllability and reachability criteria for switched linear systems
• Analysis and synthesis of switched linear control systems
• Constrained optimal control of linear and hybrid systems
• New theories of set-valued differentials and new versions of the maximum principle of optimal control theory
• A unified framework for hybrid control: model and optimal control theory
• Piecewise linear quadratic optimal control
• Convex dynamic programming for hybrid systems
• Optimal Control of Switched Systems Based on Parameterization of the Switching Instants

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