25 search results - page 1 / 5 » Non-monotonic Lyapunov functions for stability of discrete t... |
CDC
2008
IEEE
13 years 11 months ago
2008
IEEE
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
HYBRID
2009
Springer
13 years 9 months ago
2009
Springer
This paper studies the exponential stabilization problem for discrete-time switched linear systems based on a control-Lyapunov function approach. A number of versions of converse c...
CHINAF
2008
13 years 4 months ago
2008
: The input-to-state stability (ISS) problem is studied for switched systems with infinite subsystems. By the method of multiple Lyapunov function, a sufficient ISS condition is gi...
AUTOMATICA
2000
13 years 4 months ago
2000
In this paper, we present a new stability analysis of switched systems. We introduce the concepts of minimum/maximum holding time and redundancy as a tool for Lyapunov stability. ...
AUTOMATICA
2008
2008
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
13 years 3 months ago
Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admi...