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AUTOMATICA
2008
94views more  AUTOMATICA 2008»
13 years 6 months ago
Reachability analysis of continuous-time piecewise affine systems
This paper proposes an algorithm for the characterization of reachable sets of states for continuous-time piecewise affine systems. Given a model of the system and a bounded set o...
Abdullah Hamadeh, Jorge Goncalves
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
13 years 1 months ago
Formal analysis of piecewise affine systems through formula-guided refinement
Abstract-- We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Log...
Boyan Yordanov, Jana Tumova, Calin Belta, Ivana Ce...
CDC
2009
IEEE
261views Control Systems» more  CDC 2009»
13 years 11 months ago
Stability and stabilization of a class of ill-conditioned second order differential linear repetitive processes
: This paper considers differential linear repetitive processes which are a distinct class of 2D systems whose dynamics evolve over a subset of the upper right quadrant of the 2D p...
Pawel Grzegorz Dabkowski, Krzysztof Galkowski, Eri...
SIGMETRICS
2011
ACM
237views Hardware» more  SIGMETRICS 2011»
12 years 9 months ago
Analysis of DCTCP: stability, convergence, and fairness
Cloud computing, social networking and information networks (for search, news feeds, etc) are driving interest in the deployment of large data centers. TCP is the dominant Layer 3...
Mohammad Alizadeh, Adel Javanmard, Balaji Prabhaka...
HYBRID
2003
Springer
13 years 11 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard