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HYBRID
2000
Springer
13 years 9 months ago
Verification of Hybrid Systems with Linear Differential Inclusions Using Ellipsoidal Approximations
A general verification algorithm is described. It is then shown how ellipsoidal methods developed by A. B. Kurzhanski and P. Varaiya can be adapted to the algorithm. New numerical ...
Oleg Botchkarev, Stavros Tripakis
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
13 years 5 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
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...
FMCAD
2004
Springer
13 years 9 months ago
Verification of Analog and Mixed-Signal Circuits Using Hybrid System Techniques
In this paper we demonstrate a potential extension of formal verification methodology in order to deal with time-domain properties of analog and mixed-signal circuits whose dynamic...
Thao Dang, Alexandre Donzé, Oded Maler
CAV
2010
Springer
227views Hardware» more  CAV 2010»
13 years 3 months ago
Breach, A Toolbox for Verification and Parameter Synthesis of Hybrid Systems
We describe Breach, a Matlab toolbox providing a coherent set of simulation-based techniques aimed at the analysis of deterministic models of hybrid dynamical systems. The primary ...
Alexandre Donzé