A GRADIENT-BASED APPROACH TO A CLASS OF HYBRID OPTIMAL CONTROL PROBLEMS

摘要

We investigate optimal control problems for a class of non-stationary hybrid systems with autonomous location transitions. Using the Lagrange approach and the technique of the reduced gradient, we derive necessary optimality conditions for the considered class of problems. These optimality conditions are closely related to a variant of the Hybrid Maximum Principle and can be used for constructive optimization algorithms.