We study a model of competition for resource through a chemostat-type model where species consume the common resource that is constantly supplied. We assume that the species and resources are characterized by a continuous trait. As already proved, this model, although more complicated than the usual Lotka-Volterra direct competition model, describes competitive interactions leading to concentra...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

We propose a delayed SIRS computer virus propagation model. Applying monotone iterative techniques and Lyapunov functional techniques, we establish sufficient conditions for the global asymptotic stability of both virusfree and virus equilibria of the model.

In this paper we investigate stability and boundedness of solutions of some nonlinear differential equations of third order with delay. By constructing a Lyapunov functional, sufficient conditions for the stability and boundedness of solutions for equations considered are obtained.

The stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure exponential stability of the DCNN.

In this brief, the problem of exponential dissipativity of discrete-time switched system with time-varying delays is proposed by using the average dwell time approach and multiple Lyapunov-Krasovskii functional (LKF).

Abstract In this paper, we consider a new fractional-order predator–prey model with Holling type-III functional response and stage structure. Based on the Lyapunov stability theory by constructing suitable functional, obtain some sufficient conditions for existence uniqueness of positive solutions asymptotic equilibrium to system. Finally, give numerical examples illustrate feasibility our resu...

We consider a class of nonlinear second-order differential equations with constant delay and investigate qualitative properties the solutions, namely, global stability zero solution, eventually uniform boundedness existence periodic unique stationary oscillation considered equations. As far as technique proofs is concerned, we use Lyapunov–Krasovskii functional method second Lyapunov to prove o...

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The circuit optimization process is formulated as a dynamic controllable system. A special control vector is defined to redistribute the compute expense between a network analysis and a parametric optimization. This redistribution permits the minimization a computer time. The problem of a minimal-time circuit optimization can be formulated in this case as a classical problem of the optimal cont...