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State feedback control design to avoid players going bankrupt
Author(s) -
Deng Lei,
Fu Shihua,
Zhu Peiyong
Publication year - 2019
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2126
Subject(s) - state (computer science) , control (management) , class (philosophy) , algebraic number , feedback control , control theory (sociology) , product (mathematics) , computer science , tensor product , mathematical optimization , mathematics , control engineering , engineering , artificial intelligence , pure mathematics , algorithm , mathematical analysis , geometry
Abstract This paper investigates the state feedback control design problem to avoid players going bankrupt for a class of networked evolutionary games. First, an algebraic expression is formulated for the given networked evolutionary games by using the semi‐tensor product of matrices. Then, based on the algebraic form, a necessary and sufficient condition for the existence of state feedback control, which can guarantee that no players will go bankrupt, is presented. Finally, an illustrative example demonstrates the effectiveness of the obtained results.