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» On the Controllability of Bimodal Piecewise Linear Systems
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HYBRID
2000
Springer
13 years 9 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...
CDC
2009
IEEE
132views Control Systems» more  CDC 2009»
13 years 3 months ago
Temporal logic control of discrete-time piecewise affine systems
Abstract-- We consider the problem of controlling a discretetime piecewise affine (PWA) system from a specification given as a Linear Temporal Logic (LTL) formula over linear predi...
Boyan Yordanov, Calin Belta
CDC
2009
IEEE
196views Control Systems» more  CDC 2009»
13 years 3 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
HYBRID
2010
Springer
13 years 3 months ago
Oscillation analysis of linearly coupled piecewise affine systems
In recent years, there have been intensive theoretical research works on modeling/analysis of oscillatory phenomena. In this paper, we derive a sufficient condition under which (a...
Kenji Kashima, Yasuyuki Kawamura, Jun-ichi Imura
AUTOMATICA
2005
95views more  AUTOMATICA 2005»
13 years 5 months ago
A note on asymptotic stabilization of linear systems by periodic, piecewise constant, output feedback
This note studies the asymptotic stabilization problem for controllable and observable, single-input single-output, linear, time-invariant, continuous-time systems by means of mem...
J. C. Allwright, Alessandro Astolfi, H. P. Wong