Model order-reduction for discrete-time switched linear systems

DOI10.1080/00207721.2011.554911zbMath1307.93089OpenAlexW2069170663MaRDI QIDQ5497456

Michel Basset, Abderazik Birouche, Benjamin Mourllion

Publication date: 4 February 2015

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2011.554911

zbMATH Keywords

hybrid systemsrobust stabilitybalanced truncationswitched linear systemsgramiansmodel order-reduction

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Model Reduction and Realization Theory of Linear Switched Systems ⋮ Realization of multi-input/multi-output switched linear systems from Markov parameters ⋮ Stability analysis and \(H_{\infty}\) model reduction for switched discrete-time time-delay systems ⋮ Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework ⋮ model reduction for continuous-time Markovian jump systems with incomplete statistics of mode information ⋮ Balanced truncation for linear switched systems ⋮ Model Order Reduction of Switched Linear Systems with Constrained Switching ⋮ Practical output tracking of switched nonlinear systems inp-normal form with unstable subsystems

Cites Work

• Optimal \(H_ \infty\) model reduction via linear matrix inequalities: continuous- and discrete-time cases
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• A case study in model reduction of linear time-varying systems
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• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Classification of four-dimensional estimation algebras
• Error-bounds for balanced model-reduction of linear time-varying systems
• Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach
• Balanced Truncation of Linear Time-Varying Systems
• ℋ_∞model reduction for continuous-time switched stochastic hybrid systems
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

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