Abstract | ||
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In this paper, a class of optimal switching control problems is considered in which the mode sequence of active subsystems and the number of mode switchings are not pre-specified, and both the switching sequence and the control inputs are to be chosen such that the cost functional is minimized. For solving this problem, we discuss the necessary conditions for optimality and the construction method for suboptimal solutions, and develop a few sufficient conditions of judgment on the optimal or suboptimal solutions of the switched system. According to the sufficient conditions, a parallel computational algorithm is constructed to find optimal or suboptimal solutions. For illustration, two examples are solved using the proposed algorithm. |
Year | DOI | Venue |
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2014 | 10.1016/j.cam.2013.11.011 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
suboptimal solution,mode switchings,optimal control,parallel computational algorithm,construction method,active subsystems,sufficient condition,control problem,parallel optimization algorithm,proposed algorithm,mode sequence,control input,parallel algorithm | Mathematical optimization,Optimal control,Parallel optimization,Control theory,Parallel algorithm,Mode (statistics),Algorithm,Construction method,Mathematics | Journal |
Volume | ISSN | Citations |
261 | 0377-0427 | 1 |
PageRank | References | Authors |
0.35 | 16 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jingang Zhai | 1 | 6 | 2.12 |
Bangyu Shen | 2 | 1 | 0.69 |
Jinggui Gao | 3 | 2 | 2.39 |
Enmin Feng | 4 | 111 | 24.41 |
Hongchao Yin | 5 | 22 | 4.55 |