Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
A Converse Lyapunov Theorem for Uncertain Switched Linear Systems Hai Lin and Panos J. Antsaklis
 

Summary: A Converse Lyapunov Theorem for Uncertain Switched Linear Systems
Hai Lin and Panos J. Antsaklis
Abstract-- The main contribution of this paper is a converse
Lyapunov theorem derived for a class of switched linear systems
with time-variant parametric uncertainties. Both discrete-time
and continuous-time switched linear systems are investigated.
It is shown that the existence of asymptotically stabilizing
switching laws implies the existence of a polyhedral Lyapunov
function along with conic partition based stabilizing switching
laws.
I. INTRODUCTION
Design stabilizing switching laws for switched systems is
one of main research topics in the field of switched systems,
and attracts increasing attentions recently, see for example
the survey papers [7], [3], the recent books [6], [15] and the
references cited therein.
Early efforts for switching stabilization were mainly fo-
cused on quadratic stabilization for certain classes of sys-
tems. For example, a quadratic stabilization switching law
between two LTI systems was considered in [17], in which it

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering