On Robust Stability and Stabilization of Networked Evolutionary Games with Time Delays

Autor:	Qiguang An, Hongfeng Guo, Yating Zheng
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	disturbance networked evolutionary games semi-tensor product of matrices robust stability and stabilization time delays Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 15, p 2695 (2022)
Druh dokumentu:	article
ISSN:	10152695 2227-7390
DOI:	10.3390/math10152695
Popis:	This paper investigates the robust stability and stabilization of networked evolutionary games (NEGs) with time delays. First, a mathematical model is presented to describe the dynamics of NEG with time-varying delays and disturbances. Second, an auxiliary system is constructed using the semi-tensor product of matrices and a dimension augmenting technique. Then, a verification condition of robust stability is derived. Third, in order to stabilize NEG to the Nash equilibrium, the robust stability problem is transformed into the robust stabilization problem. Moreover, an algorithm is proposed to design the stabilization controller. Finally, the validity of the results is verified by an example.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9f411fa3718a4207b037c1d1f3fdb7a1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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