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Entropy | Vol.20, Issue.1 | | Pages

Entropy

Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles †

Yalu Li,Xueying Ding,Haitao Li  
Abstract

Using the algebraic state space representation, this paper studies the robust consensus of networked evolutionary games (NEGs) with attackers and forbidden profiles. Firstly, an algebraic form is established for NEGs with attackers and forbidden profiles. Secondly, based on the algebraic form, a necessary and sufficient condition is presented for the robust constrained reachability of NEGs. Thirdly, a series of robust reachable sets is constructed by using the robust constrained reachability, based on which a constructive procedure is proposed to design state feedback controls for the robust consensus of NEGs with attackers and forbidden profiles. Finally, an illustrative example is given to show that the main results are effective.

Original Text (This is the original text for your reference.)

Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles †

Using the algebraic state space representation, this paper studies the robust consensus of networked evolutionary games (NEGs) with attackers and forbidden profiles. Firstly, an algebraic form is established for NEGs with attackers and forbidden profiles. Secondly, based on the algebraic form, a necessary and sufficient condition is presented for the robust constrained reachability of NEGs. Thirdly, a series of robust reachable sets is constructed by using the robust constrained reachability, based on which a constructive procedure is proposed to design state feedback controls for the robust consensus of NEGs with attackers and forbidden profiles. Finally, an illustrative example is given to show that the main results are effective.

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Yalu Li,Xueying Ding,Haitao Li,.Robust Consensus of Networked Evolutionary Games with Attackers and Forbidden Profiles †. 20 (1),.

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