Abstract
An important input–output description of a linear continuous-time system is its impulse response, which is the response h(t, τ) to an impulse applied at time τ. In time-invariant systems that are also causal and at rest at time zero, the impulse response is h(t, 0) and its Laplace transform is the transfer function of the system. Expressions for h(t, τ) when the system is described by state-variable equations are also derived.
This is a preview of subscription content, log in via an institution to check access.
Bibliography
Antsaklis PJ, Michel AN (2006) Linear systems. Birkhauser, Boston
DeCarlo RA (1989) Linear systems. Prentice-Hall, Englewood Cliffs
Kailath T (1980) Linear systems. Prentice-Hall, Englewood Cliffs
Rugh WJ (1996) Linear systems theory, 2nd edn. Prentice-Hall, Englewood Cliffs
Sontag ED (1990) Mathematical control theory: deterministic finite dimensional systems. Texts in applied mathematics, vol 6. Springer, New York
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag London
About this entry
Cite this entry
Antsaklis, P.J. (2014). Linear Systems: Continuous-Time Impulse Response Descriptions. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_188-1
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5102-9_188-1
Received:
Accepted:
Published:
Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering