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On accessibility of bilinear systems. (English) Zbl 0205.16603

MSC:
49N99 Miscellaneous topics in calculus of variations and optimal control
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References:
[1] E. A. Coddington N. Levinson: Theory of ordinary differential equations. McGraw-Hill 1955. · Zbl 0064.33002
[2] C. Chevalley: Theory of Lie Groups I. Princeton 1946. · Zbl 0063.00842
[3] J. Kučera: Solution in Large of Control Problem \(\dot{x}= (A(l -u) + Bu) x\). Czechoslovak Math. J., Vol. 16 (91), 1966, pp. 600-623. · Zbl 0207.46902
[4] J. Kučera: Solution in Large of Control Problem \(\dot{x}= (Au + Bv) x\). Czechoslovak Math. J., Vol. 17 (92), 1967, pp. 91-96. · Zbl 0189.15701
[5] R. E. Rink R. R. Mohler: Completely Controllable Bilinear Systems. SIAM J. Control, Vol. 6, No. 3, 1968, pp. 477-486. · Zbl 0159.13001
[6] J. P. La Salle: The Time Optimal Control Problem, Contributions to the theory of nonlinear oscillations. Vol. V, 1960, pp. 1 - 24.
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