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AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 5 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
13 years 4 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
Michael Malisoff, Frédéric Mazenc
AUTOMATICA
2008
93views more  AUTOMATICA 2008»
13 years 5 months ago
Further results on input-to-state stability for nonlinear systems with delayed feedbacks
We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed loop systems are available. In the presence of...
Frédéric Mazenc, Michael Malisoff, Z...
MCSS
2007
Springer
13 years 4 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
AUTOMATICA
2006
118views more  AUTOMATICA 2006»
13 years 5 months ago
Diagonal stability of a class of cyclic systems and its connection with the secant criterion
We consider a class of systems with a cyclic interconnection structure that arises, among other examples, in dynamic models for certain biochemical reactions. We first show that a...
Murat Arcak, Eduardo D. Sontag