Qualitative Analysis in a Beddington–DeAngelis Type Predator–Prey Model with Two Time Delays

Qualitative Analysis for A Lotka-Volterra Model with Time Delays

This paper considers a Lotka-Volterra model with time delays and delay dependent parameters. The linear stability conditions are obtained with characteristic root method. The Hopf bifurcation is demonstrated. Using normal form theory and center manifold theory, Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived. Finally,...

Qualitative Analysis of a Neural Network Model with Multiple Time Delays

We consider a simpliied neural network model for a ring of four neurons where each neuron receives two time delayed inputs: one from itself and another from the previous neuron. Local stability analysis of the positive equilibrium leads to a characteristic equation containing products of four transcendental functions. By analyzing the equivalent system of four scalar transcendental equations, w...

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs

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...

Design of a Model Based Compensator for MIMO Systems with Time Delays and Constrained Inputs