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• W2020565481 abstract "This paper studies structured uncertainty problems in feedback system design, considers a compact parameterization of the space of linear dynamical systems and introduces “base points” and “critical points” as two algebraic-geometric objects that have significance in sensitivity and robustness studies, respectively. Using the Nevanlinna–Pick interpolation theory, the author obtains a necessary and sufficient condition for simultaneous stabilization of a structured one-parameter family of plants. A recent result due to Kharitonov, on the simultaneous stability of a parameterized family of polynomials, leads to a sufficiency condition for simultaneous stabilization of a structured multiparameter family of plants. Furthermore the author considers “simultaneous pole placement” of an r-tuple of plants as a means to arbitrarily tune the natural frequencies of a multimode linear dynamical system. The concept of “nondegenerate” and “twisted” r-tuples of plants is introduced as the pole placement problem is studied via Schubert enumerative geometry as an intersection problem on the associated Grassmannian. Various other design problems, viz., the strong stabilization problem and the dead beat control problem, are also considered." @default.
• W2020565481 created "2016-06-24" @default.
• W2020565481 creator A5067851724 @default.
• W2020565481 date "1988-07-01" @default.
• W2020565481 modified "2023-10-01" @default.
• W2020565481 title "An Approach to Simultaneous System Design. Part II: Nonswitching Gain and Dynamic Feedback Compensation by Algebraic Geometric Methods" @default.
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• W2020565481 doi "https://doi.org/10.1137/0326051" @default.
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