Potential impacts of delay on stability of impulsive control systems

J Lu, B Jiang, WX Zheng - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
In this article, the exponential stability of impulsive control systems with time delay is studied.
By using the average impulsive interval method, some sufficient Lyapunov-based conditions …

A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly

P Feketa, V Klinshov, L Lücken - Communications in Nonlinear Science …, 2021 - Elsevier
We propose an overview of the modeling approaches for the mathematical description and
analysis of processes that combine continuous and discontinuous behavior, namely …

Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency

JL Mancilla-Aguilar, H Haimovich, P Feketa - Nonlinear Analysis: Hybrid …, 2020 - Elsevier
We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive
systems. These conditions generalize, extend, and strengthen many existing results …

[HTML][HTML] A brief survey on stability and stabilization of impulsive systems with delayed impulses

X He, J Qiu, X Li, J Cao - Discrete and Continuous Dynamical …, 2022 - aimsciences.org
This survey addresses stability analysis for impulsive systems with delayed impulses, which
constitute an important generalization of delayed impulsive systems. Fundamental issues …

A novel Lyapunov theorem on finite/fixed-time stability of discontinuous impulsive systems

Z Wang, J Cao, Z Cai, M Abdel-Aty - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
This paper deals with the Finite/Fixed-Time Stability (FTS) problem of the discontinuous
impulsive differential equation. Under the framework on differential inclusion, this problem …

Improved input-to-state stability analysis of impulsive stochastic systems

P Wang, W Guo, H Su - IEEE Transactions on Automatic …, 2021 - ieeexplore.ieee.org
This article is concerned with the input-to-state stability (ISS) and stochastic input-to-state
stability (SISS) of impulsive stochastic nonlinear systems. By constructing a general SISS …

Stability of time-delay systems with delayed impulses: Average impulsive estimation approach

Y Liu, X Chen, J Lu, W Gui - SIAM Journal on Control and Optimization, 2023 - SIAM
This paper addresses the exponential stability of impulsive systems with both pointwise and
distributed delays, where delayed impulses are considered. Based on impulsive control …

Sliding mode control with integral sliding surface for linear uncertain impulsive systems with time delays

S Niu, WH Chen, X Lu - Applied Mathematical Modelling, 2023 - Elsevier
This paper devotes to the problem of sliding mode control (SMC) for linear uncertain
impulsive systems with time delays and matched disturbances. An SMC scheme based on a …

Uniform input-to-state stability for switched and time-varying impulsive systems

JL Mancilla-Aguilar, H Haimovich - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
We provide a Lyapunov-function-based method for establishing different types of uniform
input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to …

Sliding-mode control for target tracking of omnidirectional mobile robots subject to impulsive deception attacks

C Liu, T Wei, X He, X Li - Chaos, Solitons & Fractals, 2024 - Elsevier
This article focuses on the target tracking of omnidirectional mobile robots (OMRs) subject to
impulsive deception attacks. The impulsive deception attacks describe the cyber attacks …