Identification of Piecewise Linear Models of Complex Dynamical Systems

TL;DR

This paper develops a theoretical framework for realizing and identifying a subclass of complex piecewise-affine hybrid systems, with applications in systems biology, including conditions for existence, minimality, and an identification algorithm.

Contribution

It provides necessary and sufficient conditions for realization, a minimality characterization, and an identification algorithm for piecewise-affine hybrid systems.

Findings

Established conditions for system realization

Characterized minimality of models

Proposed an identification algorithm

Abstract

The paper addresses the realization and identification problem or a subclass of piecewise-affine hybrid systems. The paper provides necessary and sufficient conditions for existence of a realization, a characterization of minimality, and an identification algorithm for this subclass of hybrid systems. The considered system class and the identification problem are motivated by applications in systems biology.