Network Analysis and Synthesis: A Modern Systems Theory Approach

By Brian D. O. Anderson, S. Vongpanitlerd. 2006

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On the phases of a complex matrix (2019, background): “i˚ 1(C);ei˚ 2(C);:::;ei˚ n(C) o : It follows that P 1 W DW 1P 1 = P 2W 2 DW 2P 2, yielding (3.1) D= TDT; where T= W 2P 2P 1 1 W 1 . Suppose within the phases of Cthere are in total mdistinct values ˚ [1];˚ [2];:::;˚ [m], arranged in a decreasing order with respective multiplicities given by n 1;n 2;”
Simple adaptive control – a stable direct model reference adaptive control methodology – brief survey (2014, background): “Although, usually, discretetime systems are strictly proper, that is, of the form fA,B ,C g, passivity in discrete-time systems can only be satisfied in (simply) proper systems of the form fA,B ,C ,Dg [34].”
Nonsmooth H∞ synthesis (2005, methodology): “After substituting (2) into (1), the H∞ synthesis problem is transformed into a matrix inequality condition using the bounded real lemma [26].”