Exponential Stability of Impulsive Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
Exponential Stability of Impulsive Delay Differential Equations
and Applied Analysis 3 Note that V(t∗) = Q(t∗) + C 2 ‖Φ‖ τ e ∫ t ∗
متن کاملExponential Stability of Linear Delay Impulsive Differential Equations
Corresponding author: Elena Braverman Technion Israel Institute of Technology, Department of Mathematics, 32000, Haifa, Israel e-mail : [email protected] Abstract For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0,∞) together with its derivative for each bounded right-hand side t...
متن کاملExponential Stability of Impulsive Stochastic Delay Differential Systems
This paper investigates the stability of stochastic delay differential systems with two kinds of impulses, that is, destabilizing impulses and stabilizing impulses. Both the pth moment and almost sure exponential stability criteria are established by using the average impulsive interval.When the impulses are regarded as disturbances, a lower bound of average impulsive interval is obtained; it m...
متن کاملExistence and exponential stability of periodic solution for impulsive delay differential equations and applications
In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...
متن کاملψ-exponential Stability for Non-linear Impulsive Differential Equations
In this paper, we shall present sufficient conditions for the ψ-exponential stability of a class of nonlinear impulsive differential equations. We use the Lyapunov method with functions that are not necessarily differentiable. In the last section, we give some examples to support our theoretical results. Keywords—Exponential stability, globally exponential stability, impulsive differential equa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/938027