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Linear Time-Invariant Descriptor Systems

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Book cover Robust Control of Linear Descriptor Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 102))

Abstract

In this chapter, we recall some basic concepts concerning linear time-invariant descriptor systems for both continuous-time and discrete-time settings, which will be used subsequently. Descriptor systems offer a powerful tool for system modelling since they allow to describe a system by both dynamic equations and algebraic constraints. We give here a quick reminder of the fundamental definitions and results of descriptor systems, such as regularity, admissibility, equivalent realizations, system decomposition, temporal response, controllability, observability, and duality.

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Correspondence to Yu Feng .

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© 2017 Springer Nature Singapore Pte Ltd.

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Feng, Y., Yagoubi, M. (2017). Linear Time-Invariant Descriptor Systems. In: Robust Control of Linear Descriptor Systems. Studies in Systems, Decision and Control, vol 102. Springer, Singapore. https://doi.org/10.1007/978-981-10-3677-4_2

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  • DOI: https://doi.org/10.1007/978-981-10-3677-4_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3676-7

  • Online ISBN: 978-981-10-3677-4

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