Cayley-Hamilton Theorem
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A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem
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The classical Cayley-Hamilton theorem (Gantmacher, 1974; Kaczorek, 1988; Lancaster, 1969) says that every square matrix satisfies its own characteristic equation. Let A ∈ Cn×n (the set of n × n complex matrices) and p(s) = det[Ins − A] = ∑n i=0 a si, (an = 1) be the characteristic polynomial of A. Then p(A) = ∑n i=0 aiA i = 0n (the n × n zero matrix). The Cayley Hamilton theorem was extended to...
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