© The Institution of Electrical Engineers
Matrices of the form Q(s) + BG, Q being a lambda matrix, occur frequently in control applications, and it is often required to invert them, as, for example, in response calculations. Using a variant of a method proposed by the author as a means for solving the mode-control problem, a recurrence relation is derived which facilitates such calculations while, at the same time, providing insight into the structure of the inverse.
References
-
-
1)
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Woodbury, M.: `Inverting modified matrices', 42, Memorandum report, 1950.
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2)
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A. Simpson ,
B. Tabarrok
.
On Kron's eigenvalue procedure and related methods of frequency analysis.
Quart. J. Mech. Appl. Math.
,
1 -
39
-
3)
-
Simpson, A.: `Some notes on a method of calculation in modal control', Proceedings of CANCAM '69, 1969, Ont., Canada, University of Waterloo, p. 127–128.
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