A complex frequency version of the time domain adjoint operator for a linear time-invariant system is obtained. A very simple relationship is shown to exist between this operator and the system transfer function matrix. A simple method of simulating the adjoint system is described.
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References
1.
GrimbleM. J.‘Optimal Linear Regulators’, GEC Electrical Projects Ltd, Rugby. Engineering Memorandum No EM 185, August 1975.
2.
ZadehL. A.DesoerA.‘Linear System Theory’, McGraw-Hill, 1963, p 14.
3.
DerussoP. M.RoyR. J.CloseC. M.State Variables for Engineers’, Wiley, 1965, p 381.
4.
NaylorA. W.SellG. R.‘Linear Operator Theory’, Holt, Rinehart and Winston, 1971, p 352.
5.
GoffmanC.PedrickG.‘First Course in Functional Analysis’, Prentice-Hall, 1965, p 166.
6.
EpsteinB.‘Linear Functional Analysis’, Saunders, 1970, p 87.
7.
BrockettR. W.‘Finite Dimensional Linear Systems’, Wiley, 1970, p 8.
8.
ChurchillR. V.‘Operational Mathematics’, 3rd Ed, McGraw-Hill, 1972, p 150.
9.
Van Der PolB.BremmerH.‘Operational Calculus based on the Two-sided Laplace Integral’, Cambridge University Press, 1959, p 2.
10.
PrimeH.‘Modern Concepts in Control Theory’, McGraw-Hill, 1969, p 17.
11.
ChangS. S. L.‘Synthesis of Optimum Control Systems’, McGraw-Hill, 1961, p 16.
12.
NewtonG. C.GouldL. A.KaiserJ. F.‘Analytical Design of Linear Feedback Controls’, John Wiley, 1967, p 120.
13.
LathiB. P.‘Signals Systems and Communication’, Wiley, 1965, p 20.
14.
BryantG. F.‘Optimal Control of Dynamic Systems’, PhD thesis, London University, 1973, Chap 3.
