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On the Lyapunov theory for fractional order systems
We provide the main features of Lyapunov theory when it is formulated for fractional order systems. We give consistent extensions of Lyapunov, LaSalle and Chetaev classical theorems to the case of fractional order systems. ...
SETTING COURNOT VS. LYAPUNOV GAMES STABILITY CONDITIONS AND EQUILIBRIUM POINT PROPERTIES
(International Game Theory Review, 2015-07-27)
In potential games, the best-reply dynamics results in the existence of a cost function such that each player’s best-reply set equals the set of minimizers of the potential given by the opponents’ strategies. The study of ...
Stackelberg security games: Computing the shortest-path equilibrium
In this paper we consider a game theory approach for representing a real-world attacker–defender Stackelberg security game. In this novel approach the behavior of an ergodic system (repeated stochastic Markov chain game) ...
Lyapunov exponents analysis applied to a hyperchaotic prey-predator model
(Ieee-inst Electrical Electronics Engineers Inc, 2013-02)
A stability analysis of strange and simple attractors of a prey-predator map is performed. An evolution of the species along generations is computed with the purpose of contrasting with more sophisticated measures of ...
Estabilidade de equações diferenciais funcionais com retardamento via teoria de pontos fixos
(Universidade Estadual Paulista (UNESP), 2019-02-25)
Neste trabalho, serão apresentados, inicialmente, resultados de estabilidade de soluções de equações diferenciais funcionais com retardamento (EDFRs) utilizando a teoria de Lyapunov. Em seguida, resultados similares serão ...