Robust Stability and Stabilization of Switched Hyper-Networked Evolutionary Games

IF 7.9 2区计算机科学 Q1 ENGINEERING, MULTIDISCIPLINARY IEEE Transactions on Network Science and Engineering Pub Date : 2025-01-15 DOI:10.1109/TNSE.2025.3530508

Qiutong Zhang;Yuanhua Wang;Ying Wang;Zaihua Xu

引用次数: 0

Abstract

In this paper, we investigate a new class of networked evolutionary games (NEGs), called the switched hyper-networked evolutionary games (HNEGs). First, using semi-tensor product (STP) of matrices, the mathematical model of switched HNEGs with attackers is given. Second, by defining the distance of profiles, we give the definition of

$\nu$

-degree evolutionary stability profile (ESP), which can be used to describe the stability radius. Based on the algebraic form, some sufficient and necessary conditions are presented for the robust stability and stabilization of

$\nu$

-degree ESP. Finally, an example is given to illustrate the main results.

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交换式超网络演化博弈的稳健性和稳定性

本文研究了一类新的网络进化博弈，即交换超网络进化博弈（hneg）。首先，利用矩阵的半张量积（STP），给出了带有攻击者的交换hneg的数学模型。其次，通过对剖面距离的定义，给出了$\nu$-度演化稳定剖面（ESP）的定义，用以描述稳定半径；基于代数形式，给出了$\nu$阶ESP鲁棒稳定和镇定的若干充要条件，最后给出了一个算例来说明主要结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Transactions on Network Science and Engineering Engineering-Control and Systems Engineering

CiteScore

12.60

自引率

9.10%

发文量

393

期刊介绍： The proposed journal, called the IEEE Transactions on Network Science and Engineering (TNSE), is committed to timely publishing of peer-reviewed technical articles that deal with the theory and applications of network science and the interconnections among the elements in a system that form a network. In particular, the IEEE Transactions on Network Science and Engineering publishes articles on understanding, prediction, and control of structures and behaviors of networks at the fundamental level. The types of networks covered include physical or engineered networks, information networks, biological networks, semantic networks, economic networks, social networks, and ecological networks. Aimed at discovering common principles that govern network structures, network functionalities and behaviors of networks, the journal seeks articles on understanding, prediction, and control of structures and behaviors of networks. Another trans-disciplinary focus of the IEEE Transactions on Network Science and Engineering is the interactions between and co-evolution of different genres of networks.