Lyapunov stability for impulsive systems via event-triggered impulsive control

X Li, D Peng, J Cao - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
In this article, we investigate the Lyapunov stability problem for impulsive systems via event-
triggered impulsive control, where dynamical systems evolve according to continuous-time …

Stabilization of delay systems: delay-dependent impulsive control

X Li, S Song - IEEE Transactions on Automatic Control, 2016 - ieeexplore.ieee.org
The stabilization problem of delay systems is studied under the delay-dependent impulsive
control. The main contributions of this technical note are that, for one thing, it shows that time …

Stability of time-delay systems with impulsive control involving stabilizing delays

X Li, P Li - Automatica, 2021 - Elsevier
This paper studies the stability of time-delay systems with impulsive control involving
stabilizing delays. A Razumikhin-type inequality with delayed impulses is proposed, where …

Input-to-state stability of infinite-dimensional systems: recent results and open questions

A Mironchenko, C Prieur - SIAM Review, 2020 - SIAM
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

Stability of nonlinear differential systems with state-dependent delayed impulses

X Li, J Wu - Automatica, 2016 - Elsevier
We consider nonlinear differential systems with state-dependent delayed impulses
(impulses which involve the delayed state of the system for which the delay is state …

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 …

Input-to-state stability of nonlinear systems: Event-triggered impulsive control

X Li, P Li - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
This article investigates input-to-state stability (ISS) of nonlinear systems via event-triggered
impulsive control method. A novel impulsive event-triggered mechanism (IETM) which can …

Effect of delayed impulses on input-to-state stability of nonlinear systems

X Li, X Zhang, S Song - Automatica, 2017 - Elsevier
This paper studies the input-to-state stability (ISS) and integral input-to-state stability (iISS) of
nonlinear systems with delayed impulses. By using Lyapunov method and the analysis …

Input-to-state stability of nonlinear impulsive systems

S Dashkovskiy, A Mironchenko - SIAM Journal on Control and Optimization, 2013 - SIAM
We prove that impulsive systems, which possess an input-to-state stable (ISS) Lyapunov
function, are ISS for time sequences satisfying the fixed dwell-time condition. If an ISS …

Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints

C Briat - Automatica, 2013 - Elsevier
Stability analysis and control of linear impulsive systems is addressed in a hybrid framework,
through the use of continuous-time time-varying discontinuous Lyapunov functions …