A matrix approach to modeling and optimization for dynamic games with random entrance

被引：16
|
作者：
Zhao, Guodong [1 ]
Wang, Yuzhen [1 ]
Li, Haitao [2 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
[2] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 290卷
基金：
中国国家自然科学基金;
关键词：
Semi-tensor product of matrix; Networked evolutionary game; Random entrance; Probabilistic logical networks; Receding horizon control; CONTROLLABILITY; STABILIZATION; COOPERATION; NETWORKS;
D O I：
10.1016/j.amc.2016.05.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the algebraic formulation and optimization control for a class of dynamic games with random entrance by using the semi-tensor product method, and presents a number of new results. First, the given dynamic game is considered as a kind of networked evolutionary games with switch networks, based on which, it is formulated as a Markov processes to analyze. Second, using receding horizon control method, the given game's optimization problem is solved by a state feedback controller, when the major player is considered as a control. Finally, an illustrative example is studied to support our new results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：9 / 20
页数：12
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