496 search results - page 4 / 100 » Lyapunov functionals and matrices |
99
Voted
CDC
2008
IEEE
15 years 7 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...
95
Voted
AUTOMATICA
2000
15 years 17 days 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. ...
131
Voted
MCSS
2007
Springer
15 years 18 days 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...
104
click to vote
AUTOMATICA
2008
2008
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
14 years 11 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...
90
Voted
SCL
2010
14 years 11 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...