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On Robust Stability and Stabilization of Networked Evolutionary Games with Time Delays.
- Source :
-
Mathematics (2227-7390) . Aug2022, Vol. 10 Issue 15, p2695-2695. 12p. - Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NASH equilibrium
*MATRIX multiplications
*MATHEMATICAL models
*GAMES
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 158519410
- Full Text :
- https://doi.org/10.3390/math10152695