Another Jacobi sufficiency criterion for optimal control with smooth constraints
In order to tighten the gap between necessary and sufficient conditions, new second-order
sufficient conditions are developed for optimal control problems, where the control set is
given by smooth functions. When the control set is polyhedral, our criterion generalizes prior
results of the same kind, namely, the Jacobi criterion in Hamiltonian form and that in
Lagrangian form (Refs. 1–3).
sufficient conditions are developed for optimal control problems, where the control set is
given by smooth functions. When the control set is polyhedral, our criterion generalizes prior
results of the same kind, namely, the Jacobi criterion in Hamiltonian form and that in
Lagrangian form (Refs. 1–3).
Abstract
In order to tighten the gap between necessary and sufficient conditions, new second-order sufficient conditions are developed for optimal control problems, where the control set is given by smooth functions. When the control set is polyhedral, our criterion generalizes prior results of the same kind, namely, the Jacobi criterion in Hamiltonian form and that in Lagrangian form (Refs. 1–3).
Springer
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