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On optimal control problems of a class of impulsive switching systems with terminal states constraints |
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| Authors: | Rui Gao Jinlin Yang |
| Affiliation: | a School of Control Science & Engineering, Shandong University, 250061, PR China b Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 c School of Mathematics, Physics and Biological Engineering, Inner Mongolia University of Science and Technology, Baotou, Inner Mongolia 014010, PR China |
| Abstract: | The global optimal control problem is proposed for a special class of hybrid dynamical systems, i.e. impulsive switching systems. Then the necessary condition of the above problem, the minimum principle, is given. Ekeland’s variational principle and the matrix cost functional structure expression are utilized in the process of the proof. Based on the main result, a special linear hybrid impulsive and switching system (HISS) is illustrated and the optimal control algorithm is presented. Moreover, the cases of pure impulsive systems and pure switched systems are included in this paper. |
| Keywords: | A switching system with jumps Hybrid impulse and switching systems (HISS) Global optimal control Ekeland&rsquo s variational principle |
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