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Second order sufficient optimality conditions for hybrid control problems with state jump

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  • In this paper, an optimal control problem for a class of hybrid systems is considered. By introducing a new time variable and transforming the hybrid optimal control problem into an equivalent problem, second order sufficient optimality conditions for this hybrid problem are derived. It is shown that sufficient optimality conditions can be verified by checking the Legendre-Clebsch condition and solving some Riccati equations with certain boundary and jump conditions. An example is given to show the effectiveness of the main results.
    Mathematics Subject Classification: Primary: 93C30, 49K15; Secondary: 49J15.


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