since rank G2(r) = 2 for each t > 0 the system is proper on each [0, I]. We consider also the intemlation between the two original OPtimalitY t > 0 on E". We conclude that (8) is Euclidean nullantrollable. criteria in 111 and [2]. Specifically, we examine optimal control values u(r) satisfying the minimum-angle condition REFERENCES e ( u ( t ) ) = min @(a) W € S 2 ( t ) [I] H. Hemes and I. P. LaSaUe, FuncrioMi An~!ysis and Zime Optimal Conrrol. New =dlor the wum-norm condition [Z] A. Manitius. Control Theory and Topics in Functiod AM&*, voL 111. Vienna: Int [3] R. B. h o o d , "The Euclidean space controllability of control systems with delay," [4] J. Hale, Theory of Funcrionai Differential Equariom, Applied Mathemarical kiences, where [SI R. D. Driver, Ordina,y and Delay Differential Equariom, Applied Mahematimi Yo&: Academic, 1969.Abstmct-TW note formulates an aim strategy combining the chief advantages of tbe two strategies in 111 and 121, and applies it to a special power-system example.
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