A minimum-time control for Boolean control networks with impulsive disturbances

Hongwei Chen, Bo Wu and Jianquan Lu

Applied Mathematics and Computation, 2016, vol. 273, issue C, 477-483

Abstract: 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.

Keywords: Optimal control; Boolean control network; Impulsive disturbance; Semi-tensor product (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:273:y:2016:i:c:p:477-483

DOI: 10.1016/j.amc.2015.09.075

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