Piecewise Smooth Systems: Equilibrium Points and Application to Gene Regulatory Networks

Marco Berardi

doi:10.1007/978-3-319-09153-2_47

Piecewise Smooth Systems: Equilibrium Points and Application to Gene Regulatory Networks

Marco Berardi

https://doi.org/10.1007/978-3-319-09153-2_47

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Publication Date: Jan 1, 2014

Citations: 13

Affiliation: Polytechnic University of Bari, University of Bari Aldo Moro, Water Research Institute

#Piecewise Smooth Systems #Piecewise Linear + Show 8 more

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Abstract

After presenting the main issues of piecewise smooth dynamical systems, and defining the different types of equilibrium points, we focus on Piecewise Linear (PWL) systems. A result on the characterization of a particular type of PWL system is given, that relates the pseudo-equilibrium point of a PWL system with the solution of a linear algebraic system. Examples are given and an application to Gene Regularoy Networks (GRNs) is provided.

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