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» Reachability in Linear Dynamical Systems
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ICRA
2002
IEEE
187views Robotics» more  ICRA 2002»
15 years 3 months ago
Trajectory Planning using Reachable-State Density Functions
:This paper presents a trajectory planning algorithm for mobile robots which may be subject to kinodynamic constraints. Using computational methods from noncommutative harmonic ana...
Richard Mason, Joel W. Burdick
ICALP
1994
Springer
15 years 2 months ago
On some Relations between Dynamical Systems and Transition Systems
Abstract. In this paper we de ne a precise notion of abstraction relation between continuous dynamical systems and discrete state-transition systems. Our main result states that ev...
Eugene Asarin, Oded Maler
HYBRID
2000
Springer
15 years 2 months ago
Beyond HYTECH: Hybrid Systems Analysis Using Interval Numerical Methods
Abstract. Sincehybridembeddedsystemsarepervasiveandoftensafetycritical, guarantees about their correct performance are desirable. The hybrid systemsmodelcheckerHyTech providessuch ...
Thomas A. Henzinger, Benjamin Horowitz, Rupak Maju...
VMCAI
2005
Springer
15 years 4 months ago
Optimizing Bounded Model Checking for Linear Hybrid Systems
Bounded model checking (BMC) is an automatic verification method that is based on a finite unfolding of the system’s transition relation. BMC has been successfully applied, in ...
Erika Ábrahám, Bernd Becker, Felix K...
STACS
2000
Springer
15 years 2 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...