On a reachability problem for affine hypersurface systems on polytopes

DOI10.1016/j.automatica.2011.01.031zbMath1215.93018OpenAlexW2002231814MaRDI QIDQ534297

Mireille E. Broucke, Zhiyun Lin

Publication date: 17 May 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.01.031

zbMATH Keywords

hybrid systemsreachabilityswitched systemspiecewise affine systems

Mathematics Subject Classification ID

Feedback control (93B52) Geometric methods (93B27) Attainable sets, reachability (93B03) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (2)

An obstruction to solvability of the reach control problem using affine feedback ⋮ On the necessity of the invariance conditions for reach control on polytopes

Cites Work

• Unnamed Item
• Necessary and sufficient conditions for reachability on a simplex
• Optimal complexity reduction of polyhedral piecewise affine systems
• A mathematical framework for the control of piecewise-affine models of gene networks
• A control problem for affine dynamical systems on a full-dimensional polytope.
• Identification of piecewise affine systems via mixed-integer programming.
• An efficient algorithm for optimal control of PWA systems with polyhedral performance indices
• Observability and controllability of piecewise affine and hybrid systems
• Reachability and Control Synthesis for Piecewise-Affine Hybrid Systems on Simplices
• Reachability of a Set of Facets for Linear Affine Systems With n-1 Inputs
• Relatively Optimal Control: A Static Piecewise‐Affine Solution
• Set-theoretic methods in control

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