List of English Publication

@inproceedings{nokey,

title = {Stability Analysis of Nonlinear Systems Over Switching Networks Using Singularly Perturbed Hybrid Systems Framework},

author = {Andrew Teel and Aneel Tanwani and Hyungbo Shim},

url = {https://mtns2024.eng.cam.ac.uk/wp-content/uploads/2024/08/MTNS2024_Final_Programme.pdf},

year  = {2024},

date = {2024-08-20},

urldate = {2024-08-20},

booktitle = {26th International Symposium on Mathematical Theory of Networks and Systems},

publisher = {MTNS},

address = {cambridge,UK},

abstract = {To analyze the stability of a network of agents described by 

nonlinear oscillators which only exchange information about their 

position with some of its neighbors from time to time, we consider 

a theoretical framework of singularly perturbed hybrid systems. 

We describe such systems as an interconnection of two hybrid 

subsystems, a timer which triggers the jumps, and some discrete 

variables to determine the index of the jump maps. The flow 

equations of these variables are singularly perturbed differential 

equations, and in particular, smaller value of the singular 

perturbation parameter leads to increase in the frequency of the 

jump instants. For the limiting value of this parameter, we consider 

a decomposition which comprises a quasi-steady-state system 

modeled by a differential equation without any jumps, and a 

boundary-layer system described by purely discrete dynamics. 

Under appropriate stability assumptions on the quasi-steady-state 

system and the boundary-layer system, we derive results showing 

practical stability of a compact attractor when the information 

exchange between the agents occurs frequently often. },

keywords = {Hybrid system, Multi-agent system, Non-Linear Systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{nokey,

title = {Lyapunov Functions for Singularly Perturbed Hybrid Systems with Frequent Jump Dynamics},

author = {Aneel Tawani and Hyungbo Shim},

url = {https://css.paperplaza.net/conferences/conferences/CDC21/program/CDC21_ContentListWeb_4.html},

doi = {10.1109/CDC45484.2021.9682912},

year  = {2021},

date = {2021-12-13},

urldate = {2021-12-01},

booktitle = {Proc. of 2021 IEEE 60th Conference on Decision and Control},

pages = {5382-5387},

publisher = {IEEE},

address = {Austin, Texas, USA},

abstract = {This article considers the stability analysis for a class of hybrid systems with the focus being on the frequently occurring jump dynamics. The system class is modelled as a singularly perturbed hybrid system where the singular perturbation parameter governs the frequency of jumps. Consequently, this results in a quasi steady-state system modeled by a differential equation without any jumps, and the boundary-layer system described by purely discrete dynamics. By imposing appropriate assumptions on the quasi steady-state system and the boundary-layer system, we derive results showing practical convergence to a compact attractor when the jumps occur frequently often. Our system class is motivated by the control design problem in a network of second-order continuous-time coupled oscillators, where each agent communicates the information about its position to the neighbors at discrete times. As a corollary to our main result, we show that if the information exchange between the agents and their neighbors is frequent enough, then the oscillators achieve practical consensus.},

keywords = {Hybrid system, Lyapunov function, Singular perturbation},

pubstate = {published},

tppubtype = {inproceedings}

}