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 …

Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems

B Liu, DJ Hill, Z Sun - Applied Mathematics and Computation, 2018 - Elsevier
This paper aims to study input-to-state-KL-stability (IS-KL-stability) for a class of hybrid
dynamical systems (HDS). The notions of IS-KL K 0-property and IS-KL-stability are …

Event‐triggered control via impulses for exponential stabilization of discrete‐time delayed systems and networks

B Liu, DJ Hill, Z Sun, J Huang - International Journal of Robust …, 2019 - Wiley Online Library
This paper investigates the stabilization issue via event‐triggered controls (ETCs) for
discrete‐time delayed systems (DDSs) and networks. Based on the recently proposed ETC …

Co-design of controllers and a switching policy for nonstrict feedback switched nonlinear systems including first-order feedforward paths

Z Li, J Zhao - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
This paper studies the stabilization problem via the co-design of controllers and a switching
policy for a new class of nonstrict feedback switched nonlinear systems whose subsystems …

Average dwell-time for impulsive control systems possessing ISS-Lyapunov function with nonlinear rates

P Feketa, N Bajcinca - 2019 18th European Control …, 2019 - ieeexplore.ieee.org
This paper studies an input-to-state stability (ISS) property for nonlinear control system with
impulses at fixed moments. We propose a novel Lyapunov-based theorem ensuring the ISS …

Pointwise asymptotic stability in a hybrid system and well-posed behavior beyond Zeno

R Goebel, RG Sanfelice - SIAM Journal on Control and Optimization, 2018 - SIAM
Hybrid dynamical systems, modeled by hybrid inclusions---a combination of differential
equations or inclusions, of difference equations or inclusions, and of constraints on the …

ω-Limit Sets of Impulsive Semigroups for Hyperbolic Equations

P Feketa, J Fedorenko, D Bezushchak, A Sukretna - Axioms, 2023 - mdpi.com
In this paper, we investigate the qualitative behavior of an evolutionary problem consisting of
a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive …

[HTML][HTML] Stability strategies of demand-driven supply networks with transportation delay

L Yan, F Xu, J Liu, KL Teo, M Lai - Applied mathematical modelling, 2019 - Elsevier
In this paper, we consider the stabilization strategies for a demand-driven supply network
model with transportation delay. Based on Lyapunov stability theory and the robust control …

Compositional Construction of Barrier Functions for Switched Impulsive Systems

K Bieker, HT Kussaba, P Scholl, J Jung… - arXiv preprint arXiv …, 2024 - arxiv.org
Many systems occurring in real-world applications, such as controlling the motions of robots
or modeling the spread of diseases, are switched impulsive systems. To ensure that the …

Mechanism analysis and suppression control strategy of frictional impact for humanoid robots

H Wang, Q Chen - International Journal of Intelligent Robotics and …, 2024 - Springer
Stability and robustness are the important expressions of intelligent walking ability of biped
robots. The Zeno behavior caused by the frictional impact of knee joints affects the stability …