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Unforced Linear Systems

  • Andrea BacciottiEmail author
Chapter
  • 107k Downloads
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 185)

Abstract

This chapter is devoted to the mathematical problem of representing the solutions of a homogeneous system of linear differential equations by means of suitable explicit formulæ. This corresponds to the study of the qualitative behavior of a system when the evolution depends only on the internal forces and the external inputs are switched off. It is actually the first step in the investigation of the properties of a system.

Keywords

Matrix Exponential Principal Fundamental Matrix Nonzero Imaginary Part Time-invariant Differential Systems Jordan Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Scienze Matematiche “G.L. Lagrange” (DISMA: Dipartimento di eccellenza 2018–22)Politecnico di TorinoTurinItaly

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