Abstract
Discrete-time processes that can be modeled by linear difference equations with time-varying coefficients can be written in terms of state variable descriptions of the form \(x(k + 1) = A(k)x(k) + B(k)u(k),\ y(k) = C(k)x(k) + D(k)u(k)\). The response of such systems due to a given input and initial conditions is derived. Equivalence of state variable descriptions is also discussed.
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© 2014 Springer-Verlag London
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Antsaklis, P.J. (2014). Linear Systems: Discrete-Time, Time-Varying, State Variable Descriptions. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_191-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_191-1
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Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
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