Abstract
For a given state space system ∑, which singular systems can occur as a limit ∑ of under high gain feedback? We identify linear systems with rectangular matrix pencils and view this question in terms of orbit closure under the strict equivalence action of GLp x GLq on the space of pxq matrix pencils. We determine necessary conditions for a singular system to be a limit of a given state space system under high gain feedback.
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© 1991 Springer Science+Business Media New York
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Hinrichsen, D., O’Halloran, J. (1991). The Orbit Closure Problem for Matrix Pencils: Neccessary Conditions and an Application to High Gain Feedback. In: New Trends in Systems Theory. Progress in Systems and Control Theory, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0439-8_48
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DOI: https://doi.org/10.1007/978-1-4612-0439-8_48
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6760-7
Online ISBN: 978-1-4612-0439-8
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