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153
Voted
HYBRID
2000
Springer
15 years 7 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
2000
Springer
15 years 7 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
109
Voted
HYBRID
2000
Springer
15 years 7 months ago
Invariant Sets and Control Synthesis for Switching Systems with Safety Specifications
Luca Berardi, Elena De Santis, Maria Domenica Di B...
126
Voted
HYBRID
2000
Springer
15 years 7 months ago
Modular Specification of Hybrid Systems in CHARON
Abstract. We propose a language, called Charon, for modular specification of interacting hybrid systems. For hierarchical description of the system architecture, Charon supports bu...
Rajeev Alur, Radu Grosu, Yerang Hur, Vijay Kumar, ...
135
Voted
HYBRID
2000
Springer
15 years 7 months ago
Optimization-Based Verification and Stability Characterization of Piecewise Affine and Hybrid Systems
In this paper, we formulate the problem of characterizing the stability of a piecewise affine (PWA) system as a verification problem. The basic idea is to take the whole Rn as the ...
Alberto Bemporad, Fabio Danilo Torrisi, Manfred Mo...