Necessary conditions for the optimality of the automaton part of a logical-dynamical system

DOI10.1134/S008154380803005XzbMath1162.49028MaRDI QIDQ2378009

A. S. Bortakovskii

Publication date: 5 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

differential equationsdynamical system controlled by an automatonmultiple switchings of the automaton

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Applications of optimal control and differential games (49N90) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Optimization of switchable systems' trajectories ⋮ Necessary optimality conditions for continuous-discrete systems with instantaneous switching of the discrete part ⋮ Synthesis of the optimal control of linear logical-dynamical systems under instant multiple switchings of the automaton part ⋮ Sufficient optimality conditions for continuous-discrete systems with multiple instantaneous switchings of the discrete part

Cites Work

• Hybrid systems
• Necessary optimality conditions for control of logical-dynamical systems
• Hybrid dynamical systems. Controller and sensor switching problems
• Switched and impulsive systems. Analysis, design and applications.
• Sufficient conditions of optimality of the automaton part of the logical-dynamical system
• Optimal control of a class of hybrid systems
• Basic problems in stability and design of switched systems
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