Applications of optimal multiprocesses
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Impulse differential inclusions driven by discrete measures
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Necessary optimality conditions for a class of hybrid optimal control problems
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Results and perspectives on computational methods for optimal control of switched systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
A Proximal Point Based Approach to Optimal Control of Affine Switched Systems
Discrete Event Dynamic Systems
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In this contribution, we consider a class of hybrid systems with continuous dynamics and jumps in the continuous state (impulsive hybrid systems). By using a newly elaborated version of the Pontryagin-type Maximum Principle (MP) for optimal control processes governed by hybrid dynamics with autonomous location transitions, we extend the necessary optimality conditions to a class of Impulsive Hybrid Optimal Control Problems (IHOCPs). For these problems, we obtain a concise characterization of the Impulsive Hybrid MP (IHMP), namely, the corresponding boundary-value problem and some additional relations. As in the classical case, the proposed IHMP provides a basis for diverse computational algorithms for the treatment of IHOCPs.