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On an optimization problem for a class of impulsive hybrid systems. (English) Zbl 1197.49038
Summary: This contribution addresses the problem of optimal control for a class of hybrid systems, where discrete transitions are accompanied by instantaneous changes in the continuous state variables, and where these changes can be considered as control variables. Based on a variational approach, necessary conditions of optimality are first established. The problem is then cast as a parametric optimization problem for which gradient information is derived. Finally, we discuss assumptions that guarantee convergence of a conceptual algorithm to a stationary solution. A brief discussion on the main implementation issues is also included.
MSC:
49N25Impulsive optimal control problems
49K20Optimal control problems with PDE (optimality conditions)
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