Linear Difference Equations

David F. Delchamps
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David F. Delchamps: Cornell University, School of Electrical Engineering

Chapter 3 in State Space and Input-Output Linear Systems, 1998, pp 50-51 from Springer

Abstract: Abstract This brief section treats linear difference equations, which play a role in the theory of discrete-time linear systems similar to that played by linear differential equations in the theory of continuous-time linear systems. The existence and uniqueness theorems for difference equations are much easier than those for differential equations; as we shall see, there is essentially “nothing to prove.” On the other hand, there is a certain temporal asymmetry associated with difference equations which will manifest itself later on as a stumbling block that prevents a fully parallel discussion of continuous- and discrete-time linear systems.

Date: 1998
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DOI: 10.1007/978-1-4612-3816-4_4

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