Unforced Linear Systems

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


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.


Matrix Exponential Principal Fundamental Matrix Nonzero Imaginary Part Time-invariant Differential Systems Jordan Form 
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© 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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