Title :
Conjugate points and optimal control: counterexamples
Author :
Zeidan, V. ; Zezza, P.
Author_Institution :
Dept. of Appl. Math., Waterloo Univ., Ont., Canada
fDate :
2/1/1989 12:00:00 AM
Abstract :
The authors provide three counterexamples. One shows that the accessory problem proposed in P. Bernhard (Advance in Hamiltonian Systems, 1983, pp.109-142) is not complete, and the others illustrate that one-sided controllability assumptions are not enough to derive the necessary conditions involving the conjugate point theory in optimal control. Hence, it is concluded that the corresponding theorems by Bernhard and by J. V. Breakwell and Y.C. Ho (1965) are incorrect
Keywords :
controllability; optimal control; accessory problem; conjugate point theory; one-sided controllability; optimal control; Calculus; Controllability; Equations; Mathematics; Optimal control;
Journal_Title :
Automatic Control, IEEE Transactions on
