496 search results - page 4 / 100 » Lyapunov functionals and matrices |
CDC
2008
IEEE
14 years 1 months ago
2008
IEEE
Abstract— In the framework of the ISS Lyapunov formulation a small gain theorem has recently been proved which allows the explicit construction of Lyapunov functions for intercon...
AUTOMATICA
2000
13 years 7 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. ...
MCSS
2007
Springer
13 years 7 months ago
2007
Springer
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
AUTOMATICA
2008
2008
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
13 years 6 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...
SCL
2010
13 years 5 months ago
2010
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...