Linear Systems with Forcing Term

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


This chapter constitutes a different development of Chap.  2. We consider the problem of representing the solutions of nonhomogeneous (i.e., with forcing term) systems of linear differential equations. We present the variation of constants formula and the method of undetermined coefficients. Moreover, we illustrate the qualitative notions of transient and steady state solution. Finally we present the Laplace transform method and, as an application, we discuss the frequency response analysis of a system under periodic input.


Force Term Laplace Transform Method Undetermined Coefficients Frequency Response Analyzer Periodic Forcing Term 
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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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