Imperial College London
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Prof David Angeli

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Nonlinear Network Dynamics
 
 
 
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Contact

 

+44 (0)20 7594 6283d.angeli Website

 
 
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Location

 

1107CElectrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Della:2022:10.1016/j.automatica.2021.110099,
author = {Della, Rossa M and Pasquini, M and Angeli, D},
doi = {10.1016/j.automatica.2021.110099},
journal = {Automatica},
pages = {1--9},
title = {Continuous-time switched systems with switching frequency constraints: Path-complete stability criteria},
url = {http://dx.doi.org/10.1016/j.automatica.2021.110099},
volume = {137},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We propose a novel Lyapunov construction for continuous-time switched systems relying on a graph theoretical Lyapunov construction. Starting with a finite family of continuously differentiable functions, suitable inequalities involving these functions and the vector fields defining the switched system are encoded in a direct and labeled graph. We then provide sufficient conditions for (asymptotic) stability subject to constrained switching times, by relying on the path-completeness of the chosen graph. The analysis is first carried out under the hypothesis of constant switching frequency. Then, the results are generalized to dwell time setting. In the case of linear dynamics, the graph formalism allows us to interpret the existing results on dwell time stability in a unified language. Some numerical examples illustrate the usefulness of the conditions.
AU  - Della,Rossa M
AU  - Pasquini,M
AU  - Angeli,D
DO  - 10.1016/j.automatica.2021.110099
EP  - 9
PY  - 2022///
SN  - 0005-1098
SP  - 1
TI  - Continuous-time switched systems with switching frequency constraints: Path-complete stability criteria
T2  - Automatica
UR  - http://dx.doi.org/10.1016/j.automatica.2021.110099
UR  - https://www.sciencedirect.com/science/article/pii/S0005109821006282?via%3Dihub
UR  - http://hdl.handle.net/10044/1/93796
VL  - 137
ER  -
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