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AUTOMATICA
2006
110views more  AUTOMATICA 2006»
14 years 9 months ago
Solutions to hybrid inclusions via set and graphical convergence with stability theory applications
Motivated by questions in stability theory for hybrid dynamical systems, we establish some fundamental properties of the set of solutions to such systems. Using the notion of a hy...
Rafal Goebel, Andrew R. Teel
AUTOMATICA
2004
104views more  AUTOMATICA 2004»
14 years 9 months ago
Dynamics and stability in optical communication networks: a system theory framework
This paper addresses the problem of dynamics analysis in optical networks from a system control perspective. A general framework for
Lacra Pavel
65
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SCL
2010
86views more  SCL 2010»
14 years 8 months ago
Feedback boundary stabilization of wave equations with interior delay
Abstract. In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric ...
Kais Ammari, Serge Nicaise, Cristina Pignotti
AMC
1999
128views more  AMC 1999»
14 years 9 months ago
An elementary result in the stability theory of time-invariant nonlinear discrete dynamical systems
The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of ...
Weiye Li, Ferenc Szidarovszky
SCSC
2007
14 years 11 months ago
Robust stability and performance analysis using polynomial chaos theory
Anton H. C. Smith, Antonello Monti, Ferdinanda Pon...