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{Philippe:2019:10.1109/TAC.2018.2863380,
author = {Philippe, M and Athanasopoulos, N and Angeli, D and Jungers, RM},
doi = {10.1109/TAC.2018.2863380},
journal = {IEEE Transactions on Automatic Control},
pages = {1947--1957},
title = {On path-complete Lyapunov functions: geometry and comparison},
url = {http://dx.doi.org/10.1109/TAC.2018.2863380},
volume = {64},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We study optimization-based criteria for the stability of switching systems, known as Path-Complete Lyapunov Functions, and ask the question “can we decide algorithmically when a criterion is less conservative than another'”. Our contribution is twofold. First, we show that a Path-Complete Lyapunov Function, which is a multiple Lyapunov function by nature, can always be expressed as a common Lyapunov function taking the form of a combination of minima and maxima of the elementary functions that compose it. Geometrically, our results provide for each Path-Complete criterion an implied invariant set. Second, we provide a linear programming criterion allowing to compare the conservativeness of two arbitrary given Path-Complete Lyapunov functions.
AU  - Philippe,M
AU  - Athanasopoulos,N
AU  - Angeli,D
AU  - Jungers,RM
DO  - 10.1109/TAC.2018.2863380
EP  - 1957
PY  - 2019///
SN  - 0018-9286
SP  - 1947
TI  - On path-complete Lyapunov functions: geometry and comparison
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2018.2863380
UR  - http://hdl.handle.net/10044/1/63266
VL  - 64
ER  -
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