Stability and Control of Linear Systems pp 53-68 | Cite as
Linear Systems with Forcing Term
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Abstract
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.
Keywords
Force Term Laplace Transform Method Undetermined Coefficients Frequency Response Analyzer Periodic Forcing Term
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