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» Hybridization methods for the analysis of nonlinear systems
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HYBRID
2000
Springer
15 years 1 months ago
Towards Procedures for Systematically Deriving Hybrid Models of Complex Systems
Abstract. In many cases, complex system behaviors are naturally modeled as nonlinear differential equations. However, these equations are often hard to analyze because of "sti...
Pieter J. Mosterman, Gautam Biswas
HYBRID
2007
Springer
15 years 1 months ago
Qualitative Analysis of Nonlinear Biochemical Networks with Piecewise-Affine Functions
Abstract. Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for...
M. W. J. M. Musters, Hidde de Jong, P. P. J. van d...
NA
2010
235views more  NA 2010»
14 years 4 months ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh
CAV
2010
Springer
156views Hardware» more  CAV 2010»
14 years 9 months ago
A Logical Product Approach to Zonotope Intersection
We define and study a new abstract domain which is a fine-grained combination of zonotopes with (sub-)polyhedric domains such as the interval, ocinear template or polyhedron domain...
Khalil Ghorbal, Eric Goubault, Sylvie Putot
77
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HYBRID
2004
Springer
15 years 2 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