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A three-stage-structured prey-predator system with predator density dependent time delay is considered. The positive and uniformly bounded of the solution of the system are obtained, and the conditions for the system occurring global Hopf bifurcation is given. Finally, numerical simulations and brief conclusion are given.
The purpose of this paper is to investigate the impulsive exponential stabilization for the positive equilibrium points of a class of discrete population growth models with time delays. By using Lyapunov functionals, some new exponential stability criteria are given. It is shown that impulses can indeed make unstable equilibrium points exponentially stable, and when the impulses are employed to stabilize...
Feedback delays are inherent attributes of distributed control systems that usually cause unfavorable effect on the stability of the controlled process. Modelling of such systems is essential for traceable controller synthesis. In this paper we apply the TP Model Transformation to derive a polytopic representation of an LPV model where the time-delay is considered as parameter. The method is introduced...
In this paper, we investigate a chemostat model with delay and periodically pulsed input nutrient. We obtain the sufficient condition for global attractivity of the microorganism-extinction periodic solutions and the permanence of the system. And, we also prove that all solutions of system are ultimately uniformly bounded.
In haptic and telemanipulation devices stability and transparency are contradicting requirements. Due to the network delay the control process may become unstable. In our research we consider the coupled impedance type control algorithms for force reflecting telemanipulation. There are several solutions in the control literature to handle constant time delay in feedback systems, but varying delay...
In various engineering fields, separation between signal and noise is one of the important issues for the robustness of systems that are working in the real environment, and the noise reduction has been discussed when designing a robust system. On the other hand, some researches reported that adding a noise contributes to having multiple internal states and enhancing a transition between the states...
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