Title : ( Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems )
Authors: Najmeh Eghbal , Naser Pariz , Ali Karimpour ,
Full TextAbstract
For planar piecewise affine systems, this paper proposes sufficient stability conditions based on discontinuous Lyapunov functions. Themonotonicity condition for discontinuous functions at switching instants is presented based on the behavior of state trajectories on the switching surfaces. First, the stability conditions are derived for a typical multiple Lyapunov function and then these conditions are formulated as a set of linear matrix inequalities for piecewise quadratic Lyapunov functions. The implementation of the proposed method is illustrated by an example.
Keywords
Discontinuous Lyapunov functions Piecewise affine systems Stability analysis
@article{paperid:1031695,
author = {Eghbal, Najmeh and Pariz, Naser and Karimpour, Ali},
title = {Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems},
journal = {Journal of Mathematical Analysis and Applications},
year = {2013},
volume = {399},
number = {2},
month = {January},
issn = {0022-247X},
pages = {586--593},
numpages = {7},
keywords = {Discontinuous Lyapunov functions
Piecewise affine systems
Stability analysis},
}
%0 Journal Article
%T Discontinuous piecewise quadratic Lyapunov functions for planar piecewise affine systems
%A Eghbal, Najmeh
%A Pariz, Naser
%A Karimpour, Ali
%J Journal of Mathematical Analysis and Applications
%@ 0022-247X
%D 2013
