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HYBRID
2000
Springer
13 years 8 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...
HYBRID
2003
Springer
13 years 10 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
CDC
2009
IEEE
196views Control Systems» more  CDC 2009»
13 years 2 months ago
A computational stability analysis of discrete-time piecewise linear systems
A computational method for stability analysis of discrete-time piecewise linear systems is presented. The method is based on combining the solutions to two separate problems: one i...
Satyajit Arivukkodi Krishnamurthy, Ji-Woong Lee
RTSS
2006
IEEE
13 years 10 months ago
Distributed Real-Time Detection and Tracking of Homogeneous Regions in Sensor Networks
In many applications we can deploy large number of sensors spanning wide geographical areas, to monitor environmental phenomena. The analysis of the data collected by such sensor ...
Sharmila Subramaniam, Vana Kalogeraki, Themis Palp...
CDC
2009
IEEE
121views Control Systems» more  CDC 2009»
13 years 9 months ago
Piecewise-linear constrained control for timed continuous Petri nets
— Timed Continuous Petri Net (TCPN) systems are piecewise linear models with input constraints that can approximate the dynamical behavior of a class of timed discrete event syst...
Carlos Renato Vázquez, Manuel Silva