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HYBRID
2004
Springer
14 years 5 months ago
The Hybrid Guaranteed Capture Basin Algorithm in Economics
Reaching a target while remaining in a given set for impulse dynamics can be characterized by a non deterministic controlled differential equation and a controlled instantaneous r...
Noël Bonneuil, Patrick Saint-Pierre
HYBRID
2004
Springer
14 years 5 months ago
Approximations of the Rate of Growth of Switched Linear Systems
The joint spectral radius of a set of matrices is a measure of the maximal asymptotic growth rate that can be obtained by forming long products of matrices taken from the set. This...
Vincent D. Blondel, Yurii Nesterov, Jacques Theys
HYBRID
2004
Springer
14 years 5 months ago
Discrete and Hybrid Nonholonomy
In this paper we consider the generalization of the classical notion of nonholonomy of smooth constraints in analytical mechanics, to a substantially wider set of systems, allowing...
Antonio Bicchi, Alessia Marigo, Benedetto Piccoli
HYBRID
2004
Springer
14 years 5 months ago
Incremental Search Methods for Reachability Analysis of Continuous and Hybrid Systems
Abstract. In this paper we present algorithms and tools for fast and efficient reachability analysis, applicable to continuous and hybrid systems. Most of the work on reachability ...
Amit Bhatia, Emilio Frazzoli
HYBRID
2004
Springer
14 years 5 months ago
Understanding the Bacterial Stringent Response Using Reachability Analysis of Hybrid Systems
Abstract. In this paper we model coupled genetic and metabolic networks as hybrid systems. The vector fields are multi - affine, i.e., have only product - type nonlinearities to a...
Calin Belta, Peter Finin, Luc C. G. J. M. Habets, ...
HYBRID
2004
Springer
14 years 5 months ago
Network Congestion Alleviation Using Adjoint Hybrid Control: Application to Highways
Abstract. This paper derives an optimization-based control methodology for networks of switched and hybrid systems in which each mode is governed by a partial differential equatio...
Alexandre M. Bayen, Robin L. Raffard, Claire Tomli...
HYBRID
2004
Springer
14 years 5 months ago
On the Controllability of Bimodal Piecewise Linear Systems
M. K. Çamlibel, W. P. M. H. Heemels, J. M. ...