Minimal state-space realization in linear system theory: An overview


Reference:
B. De Schutter, "Minimal state-space realization in linear system theory: An overview," Journal of Computational and Applied Mathematics, Special Issue on Numerical Analysis in the 20th Century - Vol. I: Approximation Theory, vol. 121, no. 1-2, pp. 331-354, Sept. 2000.

Abstract:
We give a survey of the results in connection with the minimal state space realization problem for linear time-invariant systems. We start with a brief historical overview and a short introduction to linear system theory. Next we present some of the basic algorithms for the reduction of non-minimal state space realizations and for the minimal state space realization of infinite or finite sequences of Markov parameters of linear time-invariant systems. Finally we discuss some extensions of this problem to other classes of systems and point out some related problems.


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Bibtex entry:

@article{DeS:99-07,
        author={B. {De Schutter}},
        title={Minimal state-space realization in linear system theory: An overview},
        journal={Journal of Computational and Applied Mathematics, \rm Special Issue on Numerical Analysis in the 20th Century -- Vol.\ I: Approximation Theory},
        volume={121},
        number={1--2},
        pages={331--354},
        month=sep,
        year={2000},
        doi={10.1016/S0377-0427(00)00341-1}
        }



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