An algebraic expression of finite horizon optimal control algorithm for stochastic logical dynamical systems

This paper investigates the finite horizon optimal control problem for the stochastic logical dynamical systems with finite states. After giving the equivalent descriptions of stochastic logical dynamical system in term of Markov process, the finite horizon optimization problem is presented in an al...

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Vydané v:	Systems & control letters Ročník 82; s. 108 - 114
Hlavní autori:	Wu, Yuhu, Shen, Tielong
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.08.2015
Predmet:	Finite horizon optimal control Logical control Stochastic logical dynamical systems Logical control Stochastic logical dynamical systems Finite horizon optimal control
ISSN:	0167-6911, 1872-7956
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Shrnutí:	This paper investigates the finite horizon optimal control problem for the stochastic logical dynamical systems with finite states. After giving the equivalent descriptions of stochastic logical dynamical system in term of Markov process, the finite horizon optimization problem is presented in an algebraic form. Based on semi-tensor product of matrix and the increasing dimensional technique, a succinct algebraic expression of dynamic programming algorithm is derived to solve the optimal control problem. Examples, including an application on stochastic Kleene’s logical optimization problem, are presented to show the effectiveness of our main result.
ISSN:	0167-6911 1872-7956
DOI:	10.1016/j.sysconle.2015.04.007