Abstract
Discrete-time processes that can be modeled by linear difference equations with constant coefficients can also be described in a systematic way in terms of state variable descriptions of the form \(x(k + 1) = Ax(k) + Bu(k),\ y(k) = Cx(k) + Du(k)\). The response of such systems due to a given input and subject to initial conditions is derived. Equivalence of state variable descriptions is also discussed.
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Bibliography
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© 2015 Springer-Verlag London
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Antsaklis, P.J. (2015). Linear Systems: Discrete-Time, Time-Invariant State Variable Descriptions. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5058-9_187
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DOI: https://doi.org/10.1007/978-1-4471-5058-9_187
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Publisher Name: Springer, London
Print ISBN: 978-1-4471-5057-2
Online ISBN: 978-1-4471-5058-9
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