This article investigates the practical exponential stability and design problems of conformable time-delay systems. Sufficient conditions that confirm proposed class systems are given by utilizing an adequate Lyapunov–Krasovskii functional (L-KF). These expressed in form linear matrix inequalities (LMI) which could be solved using solvers LMI Toolbox MATLAB. Two numerical examples to illustrat...

In this paper the stability of zero equilibrium a system with time delay is studied. The critical case multiple root characteristic equation linearized treated by applying Malkin type theorem and using complete Lyapunov-Krasovskii functional. An application to model for malaria under treatment considering action immune presented.

We consider a class of  systems of nonlinear  differential equations  neu tral type with distributed delay and periodic coefficients in the linear part. Using Lyapunov–Krasovskii functional, sufficient conditions for exponential stability zero solution are established estimates characterizing rate decay solutions at infinity, as well set attraction, obtained.

In this paper, a new filter in the nonlinear Kalman filtering framework is proposed. The referred to as lattice (LKF) and based on class of quasi-Monte Carlo (QMC) methods known rules. proposed LKF method uses Korobov type rule deterministically generate sample points that are randomly shifted Cranley-Patterson shift order approximate multi-dimensional integrals Gaussian context. mathematical f...

In this paper, a class of impulsive functional differential systems is investigated. It is proved that for the asymptotic stability of the zero solution of the system considered, it is sufficient that only some components of the right-hand side of the system are bounded for unbounded values of time. For functional differential equations without impulses, similar results were proved by Burton an...

In this contribution, the estimates for response of time-delay systems with nonlinear homogeneous right-hand side degree strictly greater than one are constructed. The existing results obtained via Lyapunov--Razumikhin approach reminded. Their proofs, revisited in appendix, lead to explicit expressions involved constants. Based on a recently introduced Lyapunov–Krasovskii functional and known d...

Abstract. In this paper, an adaptive learning control approach is presented for the hybrid functional projective synchronization (HFPS) of different chaotic systems with fully unknown periodical time-varying parameters. Differential-difference hybrid parametric learning laws and an adaptive learning control law are constructed via the Lyapunov–Krasovskii functional stability theory, which make ...

A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not require the stability of system is introduced. It leads to presentation stability/instability theorems. By evaluating at initial conditions depending on fundamental matrix we are able present necessary and sufficient expressed exclusively in terms delay Lyapunov for integral systems. Some examples illustrate...