期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 273, 期 -, 页码 477-483出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.09.075
关键词
Optimal control; Boolean control network; Impulsive disturbance; Semi-tensor product
资金
- NSF of Zhejiang Province of China [LY14A010008]
- NNST of China [61374077, 61573102, 61175119, 11101373]
This paper investigates a Mayer-type optimal control and minimum time control of a Boolean control network (BCN) with impulsive disturbances. Using the semi tensor product, the BCN with impulsive disturbances is converted into algebraic discrete time impulsive dynamic systems, and several necessary conditions for optimality are derived. Then we consider the problem of steering a BCN with impulsive disturbances from a given initial state to a desired state in minimal time. And a necessary condition, stated in the form of maximum principle, is obtained for a control to be time optimal, It shows that the impulsive disturbances play an important role in the optimal control problem for BCNs. At last, a biological example is given to illustrate the effectiveness and advantage of the obtained results. (C) 2015 Elsevier Inc. All rights reserved.
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