A survey on the modeling of hybrid behaviors: How to account for impulsive jumps properly
We propose an overview of the modeling approaches for the mathematical description and
analysis of processes that combine continuous and discontinuous behavior, namely …
analysis of processes that combine continuous and discontinuous behavior, namely …
Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems
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 …
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
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 …
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 …
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 …
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 …
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 …
a hyperbolic dissipative equation whose trajectories undergo instantaneous impulsive …
[HTML][HTML] Stability strategies of demand-driven supply networks with transportation delay
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 …
model with transportation delay. Based on Lyapunov stability theory and the robust control …
Compositional Construction of Barrier Functions for Switched Impulsive Systems
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 …
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 …
robots. The Zeno behavior caused by the frictional impact of knee joints affects the stability …