Hamiltonian structures in optimal control theory (Q1972695)
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scientific article; zbMATH DE number 1431793
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| English | Hamiltonian structures in optimal control theory |
scientific article; zbMATH DE number 1431793 |
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Hamiltonian structures in optimal control theory (English)
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13 April 2000
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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.
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Poisson brackets
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integrable piecewise smooth systems
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piecewise smooth Hamiltonian systems
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maximum principles
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smooth integrable systems
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