Viability Kernels and Control Sets

DOI10.1051/cocv:2000106zbMath0940.93009OpenAlexW2039897472MaRDI QIDQ4941506

Dietmar Szolnoki

Publication date: 12 March 2000

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90565

zbMATH Keywords

reachable setchain control setcontrol flowviability kernelscontrol affine system

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Attainable sets, reachability (93B03)

Related Items (5)

Structure of viability kernels for some linear differential games ⋮ Controlled compartmental models with time-varying population: normalization, viability and comparison ⋮ CONTROLLABILITY AND INVARIANCE PROPERTIES OF TIME-PERIODIC SYSTEMS ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ A set oriented approach to global optimal control

Cites Work

• Some aspects of control systems as dynamical systems
• Approximation of the viability kernel
• A subdivision algorithm for the computation of unstable manifolds and global attractors
• Infinite time optimal control and periodicity
• Viability theory
• The dynamics of control. With an appendix by Lars Grüne
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