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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...
HYBRID
2000
Springer
13 years 10 months ago
Approximate Reachability Analysis of Piecewise-Linear Dynamical Systems
In this paper we describe an experimental system called d=dt for approximating reachable states for hybrid systems whose continuous dynamics is de ned by linear di erential equatio...
Eugene Asarin, Thao Dang, Oded Maler, Olivier Bour...
STACS
2000
Springer
13 years 9 months ago
The Stability of Saturated Linear Dynamical Systems Is Undecidable
We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are un...
Vincent D. Blondel, Olivier Bournez, Pascal Koiran...
GLOBECOM
2006
IEEE
14 years 10 days ago
Analytical Investigation with Markov Models of Selective Repeat Type II Hybrid ARQ
— This paper presents an analytical model for the analysis of Hybrid ARQ techniques on Discrete Time Markov Channels by means of Markov chains. The first contribution is an orig...
Leonardo Badia, Marco Levorato, Michele Zorzi