Abstract
Equations in descriptor variable form arises naturally in many applications, and are especially suited for the study of variable structure systems. This paper reviews the foundation concepts of solvability and conditionability and several of the general properties of linear descriptor variable systems. Particular attention is devoted to the time-invariant case where the descriptor variable theory is closely related to classical work. The shuffle algorithm and its theoretical implications are discussed.
This research was supported by the Division of Electric Energy Systems, Energy Research and Development Administration under Grant E (49-18)-2090. This conference paper is adapted from two previous papers of the author [1], [2].
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References
Luenberger, D.G., “Dynamic Systems in Descriptor Form”, IEEE Transactions on Automatic Control, AC-22, No. 3, pp. 312–331 (June 1977).
Luenberger, D.G., “Time-Invariant Descriptor Systems”, Proceedings of the 1977 Joint Automatic Control Conference, pp. 725-730, July 1977.
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© 1978 Springer-Verlag Berlin Heidelberg
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Luenberger, D.G. (1978). Linear Descriptor Variable Systems. In: Mohler, R.R., Ruberti, A. (eds) Recent Developments in Variable Structure Systems, Economics and Biology. Lecture Notes in Economics and Mathematical Systems, vol 162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45509-4_13
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DOI: https://doi.org/10.1007/978-3-642-45509-4_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09089-2
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