[PDF] Top 20 Improved Exponential Stability Analysis of Certain Nonlinear Neutral Differential Equation with Time-Varying Delays

... measurements. Delays are more concerned with challenging areas of communication and information technologies: in the stabilization of networked controlled systems and in the high-speed communication ...network. ... See full document

... the time-delay σ which guaran- tees the exponential stability of equation () is ...of time-varying delay σ (t) for the global asymptotic stability of equation ... See full document

... decades, nonlinear stochastic systems have been widely studied by many authors due to the fact that nonlinear stochastic systems can be applied to population ecology, steam processes, heat exchanges, the ... See full document

... by neutral functional differential equations including neutral delay differential ...called neutral neural networks or neural networks of ...The differential expression not only ... See full document

... the delays of state and state derivative simultaneously, are often encountered in various fields, such as automatic con- trol, aircraft stabilization, lossless transmission lines, and turbojet engines ...robust ... See full document

... functional differential equations, stability and control problem has been the subject of investigable research ...of nonlinear systems with time-varying ...mixed ... See full document

... robust stability for uncertain neutral sys- tems with mixed interval time-varying delays was ...interval time- varying delay is ...are nonlinear ... See full document

... robust stability for neutral systems with mixed interval time-varying delays and nonlinear perturba- tions was ...discrete time-varying delay is ...zero ... See full document

... finite-time stability analysis is also one of the most crucial themes for fractional systems, such as ...finite- time stability of Caputo delta fractional difference equations, and a ... See full document

... ensure stability of the NDE [–]. The asymptotic stability of the NDE with constant delays () has been discussed in [, , –], while the exponential sta- bility has been studied in [, ... See full document

... []. Stability analysis of uncertain neutral stochastic systems with time-varying delays has received the attention of a lot of theoreticians and engineers in this field over the ... See full document

... tial stability analysis for certain neutral differential equation with discrete and distributed time-varying delays are ...The time-varying ... See full document

... Lyapunov’s stability theory, global stability means that the state-trajectory solution is uniformly bounded for any bounded function of initial ...asymptotic stability implies also that there is a ... See full document

... robust stability criterion for a class of uncertain neutral-type neural networks with discrete interval and distributed time-varying ...robust stability criteria are derived in terms of ... See full document

... Also time delay exists in various fields in our society; due to this reason the systems with time delay have received major attention in recent ...delay differential equations, by using Lyapunov ... See full document

... develop exponential stability criteria by the methods of Lyapunov functions and M-matrices for a class hybrid neutral pantograph stochastic differential ...establishes exponential ... See full document

... differential equation plays an important role in many scientific and engineering ...differential equation into an eigenvalue differential ...the stability of a class ... See full document

... Mackey-Glass equation with time- varying delay is ...and differential inequality techniques, a set of sufficient conditions are obtained for the existence and exponential ... See full document

... mean-square exponential stability of the solu- tion of a GRN model with diffusion process, impulses, degradation reactions, time-varying delays, and fBm of extrinsic ...noise. ... See full document

... rems in [26] are not satisfied, which means that the theorems in [26] are not applicable to ascertain the stability of neural networks (5.2). However, It is easy to check that (5.2) satisfies all conditions of ... See full document