[HTML][HTML] Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems

M Abdelgalil, DE Ochoa, JI Poveda - Annual Reviews in Control, 2023 - Elsevier
Multi-time scale techniques based on singular perturbations and averaging theory are
among the most powerful tools developed for the synthesis and analysis of feedback control …

A distributed robust two-time-scale switched algorithm for constrained aggregative games

XF Wang, AR Teel, XM Sun, KZ Liu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Robust Nash equilibrium (NE) seeking for a constrained aggregative game is explored. Our
setting has the following three features: 1) local feasibility sets are considered; 2) each …

Data-driven control of singularly perturbed hybrid systems with multi-rate sampling

Y He, D Zhu, C Chen, Y Wang - ISA transactions, 2024 - Elsevier
This paper addresses the exponential stability problem of singularly perturbed hybrid
systems with multi-rate sampling. Firstly, a hybrid model is established to describe a class of …

Distributed robust seeking of Nash equilibria with applications to autonomous vehicles in mobile sensor networks

XF Wang, Y Yan, Z Li - 2024 43rd Chinese Control Conference …, 2024 - ieeexplore.ieee.org
This paper explores an estimation task in the context of autonomous vehicles utilizing a
network of mobile sensors, where each vehicle operates based on local information. In this …

Singularly Perturbed Stochastic Hybrid Systems: Stability and Recurrence via Composite Nonsmooth Foster Functions

JI Poveda - IFAC-PapersOnLine, 2023 - Elsevier
We introduce new sufficient conditions for verifying stability and recurrence properties in
singularly perturbed stochastic hybrid dynamical systems. Specifically, we focus on hybrid …

[PDF][PDF] A distributed robust two-time-scale switched algorithm for constrained aggregative games

KZ Liu, G Shao - 2023 - researchgate.net
Robust Nash equilibrium (NE) seeking for a constrained aggregative game is explored. Our
setting has the following three features: 1. Local feasibility sets are considered. 2. Each …