Dwell-time stability conditions for infinite dimensional impulsive systems

S Dashkovskiy, V Slynko - Automatica, 2023 - Elsevier
We consider nonlinear impulsive systems on Banach spaces subjected to disturbances and
look for dwell-time conditions guaranteeing the ISS property. In contrary to many existing …

[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 …

Dynamical behaviors in a stage-structured model with a birth pulse

Y Liu, L Guo, X Liu - Mathematics, 2023 - mdpi.com
This paper presents an exploitation model with a stage structure to analyze the dynamics of
a fish population, where periodic birth pulse and pulse fishing occur at different fixed time …

Exponential stability of delayed discrete‐time systems with averaged delayed impulses

B Sun, Y Zhang - International Journal of Robust and Nonlinear …, 2024 - Wiley Online Library
This article investigates the exponential stability of nonlinear discrete‐time systems with time‐
varying state delay and delayed impulses, where the delays in impulses are not fixed …

Rigorous continuation of periodic solutions for impulsive delay differential equations

KEM Church, GW Duchesne - Applied Mathematics and Computation, 2022 - Elsevier
We develop a rigorous numerical method for periodic solutions of impulsive delay
differential equations, as well as parameterized branches of periodic solutions. We are able …

Linear Periodic Systems

KEM Church, X Liu, KEM Church, X Liu - Bifurcation Theory of Impulsive …, 2021 - Springer
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