Abstract
A new notion of cone-realization for discrete-time linear systems with delays is proposed. Necessary and sufficient conditions for the existence of cone-realizations of discrete-time linear systems with delays are established. A procedure is proposed for computation of a cone-realization for a given proper rational matrix T(z). It is shown that there exists a (\({\mathcal{P,Q,V}}\))-cone realization of T(z) if and only if there exists a positive realization of \({\bf \bar T}\) (z) = VT(z)Q − 1 where V, Q and P are non-singular matrices generating the cones \(\cal V\), \(\cal Q\) and \(\cal P\) respectively.
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Kaczorek, T. (2007). Cone-Realizations of Discrete-Time Systems with Delays. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4432. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71629-7_78
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DOI: https://doi.org/10.1007/978-3-540-71629-7_78
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71590-0
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