期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 22, 期 -, 页码 98-107出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2016.03.009
关键词
Networked evolutionary games; Switched topologies; Algebraic formulation; Strategy optimization; Semi-tensor product of matrix
资金
- National Natural Science Foundation of China [G61374065, G61503225]
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Natural Science Foundation of Shandong Province [ZR2015FQ003]
This paper studies the algebraic formulation and optimization control for a class of networked evolutionary games with switched topologies via the semi-tensor product method. First, an algebraic expression is formulated for the given networked evolutionary games, based on which, the behavior of corresponding evolutionary games is analyzed. Then, under some certain assumptions, the existence of fixed points for the given systems is proved and a free-type control sequence is designed to guarantee the best strategy profile reachable globally. Finally, an illustrative example is studied to support our new results. (C) 2016 Elsevier Ltd. All rights reserved.
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