Convexity of reachable sets of nonlinear ordinary differential equations

DOI10.1134/S000511790709007XzbMath1145.93007arXiv1211.6080OpenAlexW3100384097MaRDI QIDQ927541

Gunther Reißig

Publication date: 9 June 2008

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6080

zbMATH Keywords

ordinary differential equationsgeometric methodsconvex reachable sets

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Attainable sets, reachability (93B03) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

On the structure of a solution set of controlled initial-boundary value problems ⋮ Convexity of the images of small balls through nonconvex multifunctions ⋮ On the convexity of reachability sets of controlled initial-boundary value problems ⋮ On the Polyak convexity principle and its application to variational analysis ⋮ Real-time computation of resource optimal control ⋮ Computation of Discrete Abstractions of Arbitrary Memory Span for Nonlinear Sampled Systems ⋮ Criteria for convexity of closed sets in Banach spaces ⋮ Real-time computation of optimal control ⋮ Nonlinear convex and concave relaxations for the solutions of parametric ODEs

Cites Work

• Unnamed Item
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• Convexity and generalized second-order derivatives for locally Lipschitz functions
• Cell-to-cell mapping. A method of global analysis for nonlinear systems
• Optimal control theory
• The convexity principle and its applications
• Constrained optimization and image space analysis. Vol. 1: Separation of sets and optimality conditions
• Global optimization with nonlinear ordinary differential equations
• Some properties of accessible sets in non-linear control systems
• Local homeo- and diffeomorphisms: invertibility and convex image
• On the Time-Discretization of Control Systems
• Oriented Distance Function and Its Evolution Equation for Initial Sets with Thin Boundary
• Monotone control systems
• Computational techniques for hybrid system verification
• The convexity of the reachable set for a bilinear controllable system
• A set oriented approach to global optimal control
• On the Closure and Convexity of Attainable Sets in Finite and Infinite Dimensions
• Convexity of nonlinear image of a small ball with applications to optimization

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