Exponential stability of delayed systems with average-delay impulses

B Jiang, J Lu, Y Liu - SIAM Journal on Control and Optimization, 2020 - SIAM
In the paper, we investigate the exponential stability of nonlinear delayed systems with
destabilizing and stabilizing delayed impulses, respectively. Specifically, the study can be …

Generalized invariance principles for stochastic dynamical systems and their applications

S Zhou, W Lin, X Mao, J Wu - IEEE Transactions on Automatic …, 2023 - ieeexplore.ieee.org
Investigating long-term behaviors of stochastic dynamical systems often requires to establish
criteria that are able to describe delicate dynamics of the considered systems. In this article …

Adjoint-based design optimization of stability constrained systems

S He, E Jonsson, J Li, JRRA Martins - AIAA Journal, 2024 - arc.aiaa.org
A partial differential equation (PDE) constrained design optimization problem usually
optimizes a characteristic of a dynamical system around an equilibrium point. However, a …

[图书][B] Bifurcation theory of impulsive dynamical systems

KEM Church, X Liu - 2021 - Springer
Impulsive dynamical systems have become increasingly popular during the past decades
because they provide a natural framework for mathematical modeling of many real-world …

Delay-dependent and order-dependent guaranteed cost control for uncertain fractional-order delayed linear systems

F Qi, Y Chai, L Chen, JA Tenreiro Machado - Mathematics, 2020 - mdpi.com
This paper addresses the guaranteed cost control problem of a class of uncertain fractional-
order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty …

Invariant manifold-guided impulsive stabilization of delay equations

KEM Church, X Liu - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
We propose an impulsive stabilization method for delay equations based on a reduction to
the center-unstable manifold. Our approach does not make use of the constructions of …

Parallelizable semidynamical systems

TA Pacifico - 2021 - teses.usp.br
In this work, we introduce the concept of parallelizability for semidynamical systems. We
study topological properties of impulsive and continuous parallelizable semidynamical …

User manual and tutorial for ISIM1s: a tiny MATLAB package for single stage invariant manifold-guided impulsive stabilization of delay equations

KEM Church - arXiv preprint arXiv:1912.07766, 2019 - arxiv.org
ISIM1s consists of a few MATLAB functions and a script that can be used to derive stabilizing
impulsive controllers for delay differential equations. This document serves as both a …

Nonlinear Systems and Stability

KEM Church, X Liu, KEM Church, X Liu - Bifurcation Theory of Impulsive …, 2021 - Springer
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[PDF][PDF] Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems. Mathematics 2021, 9, 41

F Qi, Y Chai, L Chen, JA Tenreiro Machado - 2020 - pdfs.semanticscholar.org
This paper addresses the guaranteed cost control problem of a class of uncertain
fractionalorder (FO) delayed linear systems with norm-bounded time-varying parametric …