Permanence for the discrete mutualism model with time delays

Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

Positive periodic solutions of a discrete mutualism model with time delays

where ri,Ki,αi ∈ C(R,R+), αi > Ki, i = 1,2, τi,σi ∈ C(R,R+), i = 1,2, ri, Ki, αi, τi, σi(i = 1,2) are functions of period ω > 0. Since the study on periodic solutions of a population model is of great interest in mathematical biology [5] and many authors [1, 7] have argued that the discrete-time models governed by difference equations are more appropriate than the continuous ones when the popul...

Permanence of a Discrete Model of Mutualism with Infinite Deviating Arguments

FINITE-TIME PASSIVITY OF DISCRETE-TIME T-S FUZZY NEURAL NETWORKS WITH TIME-VARYING DELAYS

This paper focuses on the problem of finite-time boundedness and finite-time passivity of discrete-time T-S fuzzy neural networks with time-varying delays. A suitable Lyapunov--Krasovskii functional(LKF) is established to derive sufficient condition for finite-time passivity of discrete-time T-S fuzzy neural networks. The dynamical system is transformed into a T-S fuzzy model with uncertain par...

Permanence of a Discrete Nonlinear Prey-Competition System with Delays

Hongying Lu School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian, Liaoning 116025, China Correspondence should be addressed to Hongying Lu, [email protected] Received 3 July 2009; Accepted 16 September 2009 Recommended by Xue-Zhong He A discrete nonlinear prey-competition system with m-preys and n-m -predators and delays is considered. Two se...