Abstract
Linear Algebra has played a fundamental role in the development of System Theory over the last four decades. It not only has been the vehicle for expressing important dynamic system properties but it has also provided a framework for generating new insights about system behavior. In this paper we explore the connection between simultaneous stabilization of a family of linear plants and stability preserving properties of certain matrices. We see that this formulation leads to the development of necessary and sufficient conditions for robust stabilization. It also provides new insight into robust controller synthesis of SISO and MIMO plant families.
Funded by EPRI under contract No. W08333-03
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References
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© 2000 Springer Science+Business Media New York
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Djaferis, T.E. (2000). Stability Preserving Maps. In: Djaferis, T.E., Schick, I.C. (eds) System Theory. The Springer International Series in Engineering and Computer Science, vol 518. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5223-9_34
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DOI: https://doi.org/10.1007/978-1-4615-5223-9_34
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