[HTML][HTML] Review of stability and stabilization for impulsive delayed systems

X Yang, X Li, Q Xi, P Duan - Mathematical Biosciences & …, 2018 - aimsciences.org
This paper reviews some recent works on impulsive delayed systems (IDSs). The prime
focus is the fundamental results and recent progress in theory and applications. After …

Some improved Razumikhin stability criteria for impulsive stochastic delay differential systems

W Hu, Q Zhu, HR Karimi - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
This paper is devoted to study the Razumikhin stability theorem for a class of impulsive
stochastic delay differential systems. By developing a new lemma, stochastic analysis …

Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function

W Cao, Q Zhu - Nonlinear Analysis: Hybrid Systems, 2021 - Elsevier
This paper is concerned with the pth moment exponential stability of stochastic functional
differential equations with impulses. Based on average dwell-time method, Razumikhin-type …

Stability analysis of impulsive stochastic delayed differential systems with unbounded delays

W Hu, Q Zhu - Systems & Control Letters, 2020 - Elsevier
In this paper, the stability analysis for impulsive stochastic delayed differential equations with
unbounded delays is considered by applying stochastic analysis techniques and average …

Stability of differential systems with impulsive effects

C Li, F Hui, F Li - Mathematics, 2023 - mdpi.com
In this paper, a brief survey on the stability of differential systems with impulsive effects is
provided. A large number of research results on the stability of differential systems with …

Almost sure exponential stability and stochastic stabilization of stochastic differential systems with impulsive effects

P Cheng, F Deng, F Yao - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
This paper focuses on the problem of almost sure exponential stability and stochastic
stabilization of nonlinear stochastic differential systems with impulsive effects. The moment …

Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses

P Cheng, F Deng, F Yao - … in Nonlinear Science and Numerical Simulation, 2014 - Elsevier
This paper is concerned with the exponential stability analysis of impulsive stochastic
functional differential systems with delayed impulses. Although the stability of impulsive …

Practical exponential stability of impulsive stochastic functional differential equations

T Caraballo, MA Hammami, L Mchiri - Systems & Control Letters, 2017 - Elsevier
This paper is devoted to the investigation of the practical exponential stability of impulsive
stochastic functional differential equations. The main tool used to prove the results is the …

LaSalle-type theorem and its applications to infinite horizon optimal control of discrete-time nonlinear stochastic systems

W Zhang, X Lin, BS Chen - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
Based on discrete martingale theory, the LaSalle-type theorem for general discrete-time
stochastic systems is obtained and the almost sure stability is in turn discussed. As …

Globally Robust Stability Analysis for Stochastic Cohen-Grossberg Neural Networks with Impulse Control and Time-Varying Delays.

Y Guo - Ukrainian Mathematical Journal, 2018 - search.ebscohost.com
By constructing suitable Lyapunov functionals, in combination with the matrix-inequality
technique, we establish a new simple sufficient linear matrix-inequality condition for the …