Piecewise polynomial Lyapunov functions with guaranteed accuracy

Amir Ali Ahmadi, Raphaël M. Jungers, Pablo Parrilo, Mardavij Roozbehani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We address the stability problem for switched systems. We present new semidefinite programming based methods that appear very efficient in practice. These methods rely on the computation of piecewise defined Lyapunov functions. We compare the state-of-the-art in continuous and discrete time. We raise a few questions, with an emphasis on the computational complexity point of view, and answer some of them.

Original languageEnglish (US)
Title of host publication2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Number of pages1
DOIs
StatePublished - Dec 1 2010
Externally publishedYes
Event2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 - Eilat, Israel
Duration: Nov 17 2010Nov 20 2010

Publication series

Name2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010

Other

Other2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
CountryIsrael
CityEilat
Period11/17/1011/20/10

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Keywords

  • Joint spectral radius
  • Piece-wise Lyapunov functions
  • Sum of squares
  • Switched systems

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  • Cite this

    Ahmadi, A. A., Jungers, R. M., Parrilo, P., & Roozbehani, M. (2010). Piecewise polynomial Lyapunov functions with guaranteed accuracy. In 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010 [5662189] (2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010). https://doi.org/10.1109/EEEI.2010.5662189