Practical Exponential Stability of Impulsive Stochastic Reaction-Diffusion Systems With Delays
نویسندگان
چکیده
منابع مشابه
Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump
The stochastic reaction diffusion systems may suffer sudden shocks, in order to explain this phenomena, we use Markovian jumps to model stochastic reaction diffusion systems. In this paper, we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps. Under some reasonable conditions, we show that the trivial solution of stocha...
متن کاملalmost sure exponential stability of stochastic reaction diffusion systems with markovian jump
the stochastic reaction diffusion systems may suffer sudden shocks, in order to explain this phenomena, we use markovian jumps to model stochastic reaction diffusion systems. in this paper, we are interested in almost sure exponential stability of stochastic reaction diffusion systems with markovian jumps. under some reasonable conditions, we show that the trivial solution of stocha...
متن کاملExponential Stability of Linear Systems with Multiple Time Delays
In this paper, a class of linear systems with multiple time delays is studied. The problem of exponential stability of time-delay systems has been investigated by using Lyapunov functional method. We will convert the system of multiple time delays into a single time delay system and show that if the old system is stable then the new one is so. Then we investigate the stability of converted new ...
متن کاملExponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms
Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global exponential stability of equilibrium point for the addressed neural network are derived by M-matrix theory, analytic methods, and inequality techniques. Moreover, the exponential converge...
متن کاملExponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms
and Applied Analysis 3 In the light of (H1)–(H4), it is easy to see that problems (1)-(2) admit an equilibrium point u = 0. Definition 1. The equilibrium point u = 0 of problems (1)(2) is said to be globally exponentially stable if there exist constants κ > 0 andM ≥ 1 such that u (t, x; t0, φ) Ω ≤ M φ Ω e −κ(t−t 0 ) , t ≥ t 0 , (10) where ‖φ‖ 2 Ω = sup t 0 −τ≤s≤t 0 ∑ n i=1 ∫ Ω φ...
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: IEEE Transactions on Cybernetics
سال: 2020
ISSN: 2168-2267,2168-2275
DOI: 10.1109/tcyb.2020.3022024