Hamiltonian structures in optimal control theory
Copyright policy )Hamiltonian structures in optimal control theory
This paper deals with a systematic exposition of the principal results of the theory of piecewise smooth Hamiltonian systems. The invariant formulation of the maximum principles provides an interpretation of the extremals of a controlled dynamical system as integral trajectories of a piecewise smooth Hamiltonian system. Integrable piecewise smooth systems are proved to be equivalent to smooth integrable systems.
- Institute for Systems Analysis Russian Federation
piecewise smooth Hamiltonian systems, Dynamical systems in control, Poisson brackets, Relations of dynamical systems with symplectic geometry and topology, Optimality conditions for free problems in one independent variable, maximum principles, integrable piecewise smooth systems, smooth integrable systems
piecewise smooth Hamiltonian systems, Dynamical systems in control, Poisson brackets, Relations of dynamical systems with symplectic geometry and topology, Optimality conditions for free problems in one independent variable, maximum principles, integrable piecewise smooth systems, smooth integrable systems
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