### Optimization and Systems Theory Seminar

Friday, June 4, 1999, 11.00-12.00, Room 3721, Lindstedtsvägen 25

** Professor W. P. Dayawansa**

Dept of Mathematics

Texas Tech. University

Lubbock, Texas, USA

####
Lyapunov functions for switching systems

Control systems encountered in many engineering applications are
inherently multi-modal in the sense that their dynamics can be only
described via several dynamical models, each valid only during a
certain regime of operation. In some instances, such as a mobile robot
operating in an unknown hazardous environment, switching between modes
can take place in a fairly arbitrary manner. An interesting problem
related to such systems is that of stability analysis. In this talk we
consider a class of multi-modal control systems, define some relevant
stability concepts and address the issue of verification of stability.

Calendar of seminars

*Last update: June 1, 1999 by
Anders Forsgren,
anders.forsgren@math.kth.se.
*