Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems

We characterize the maximum controlled invariant (MCI) set for discrete- as well as continuous-time nonlinear dynamical systems as the solution of an infinite-dimensional linear programming problem. For systems with polynomial dynamics and compact semialgebraic state and control constraints, we desc...

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Bibliographic Details

Published in:	SIAM journal on control and optimization Vol. 52; no. 5; pp. 2944 - 2969
Main Authors:	Korda, Milan, Henrion, Didier, Jones, Colin N.
Format:	Journal Article
Language:	English
Published:	Society for Industrial and Applied Mathematics 01.01.2014
Subjects:	Approximation Control systems Dynamical systems Hierarchies Invariants Mathematics Nonlinear dynamics Optimization Optimization and Control Polynomials
ISSN:	0363-0129, 1095-7138
Online Access:	Get full text
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