Asymptotic Stability and Stability Switches in a Linear Integro–differential System
نویسندگان
چکیده
This paper is concerned with the stability problem of a linear integro-differential system with distributed delay in the diagonal terms. We establish some explicit conditions for the zero solution of the system to be asymptotically stable. In particular, as the delay parameter increases monotonously under certain conditions, the zero solution switches finite times from stability to instability to stability, and becomes unstable eventually. Mathematics subject classification (2010): 34K20, 45J05.
منابع مشابه
Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on Time Scales
This manuscript presents Hyers-Ulam stability and Hyers--Ulam--Rassias stability results of non-linear Volterra integro--delay dynamic system on time scales with fractional integrable impulses. Picard fixed point theorem is used for obtaining existence and uniqueness of solutions. By means of abstract Gr"{o}nwall lemma, Gr"{o}nwall's inequality on time scales, we establish Hyers-Ulam stabi...
متن کاملStudy on stability analysis of distributed order fractional differential equations with a new approach
The study of the stability of differential equations without its explicit solution is of particular importance. There are different definitions concerning the stability of the differential equations system, here we will use the definition of the concept of Lyapunov. In this paper, first we investigate stability analysis of distributed order fractional differential equations by using the asympto...
متن کاملStability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
This paper deals with the asymptotic stability of exact and discrete solutions of neutral multidelay-integro-differential equations. First, sufficient conditions are derived that guarantee the asymptotic stability of the continuous solutions. Then, adaptations of classical Runge-Kutta and linear multistep methods are suggested for solving these systems. Stability criteria are constructed for th...
متن کاملAsymptotic stability of neutral stochastic functional integro-differential equations*
This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achie...
متن کاملStability analysis of nonlinear hybrid delayed systems described by impulsive fuzzy differential equations
In this paper we introduce some stability criteria of nonlinear hybrid systems with time delay described by impulsive hybrid fuzzy system of differential equations. Firstly, a comparison principle for fuzzy differential system based on a notion of upper quasi-monotone nondecreasing is presented. Here, for stability analysis of fuzzy dynamical systems, vector Lyapunov-like functions are defined....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011