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8.7 References
E.B. Lee, and L. Markus, Foundations of Optimal Control Theory, John Wiley, New York, 1967.
S. Lefschetz, and J.P. La Salle, Functional Analysis and Time Optimal Control. Academic Press, New York, 1968.
R.F. Brammer, Controllability in linear autonomous systems with positive controllers. SIAM J. Cont., Vol 10, pp.339–353, 1972.
O. HÃ jek, A short proof of Brammer's theorem. Unpublished preprint, 1975.
M. Pachter and D.H. Jacobson, On the reachable sets in linear systems. Applied Math. and Optimization, Vol 5, pp 83–86,1979.
M. Pachter and D.H. Jacobson, Conditions for arbitrary-interval null-controllability and the continuity of the minimum-time function. NRIMS Technical Report WISK 210, CSIR, Pretoria, July 1976.
V. Eckhardt, Theorems on the dimension of convex sets. Linear Algebra and its Applications, Vol 12, pp. 63–76, 1975.
V.G. Boltyanskii, Mathematical Methods of Optimal Control. Holt, Rinehart, Winston Publishers, New York, 1971, pp 119–120.
M. Pachter and D.H. Jacobson, Control with conic constraint set. J. of Optimization Theory and Applications, Vol 25, No 1, May 1978, pp 117–123.
M. Pachter and D.H. Jacobson, Stabilization with conic control constraint set. Int. J. of Control, Vol 29, pp 125–132, 1979.
Additional Bibliography
D.H. Jacobson, Extensions of Linear-Quadratic Control, Optimization and Matrix Theory. Academic Press, London, England, 1977, ch.5.
R.F. Brammer, Differential controllability and the solution of linear inequalities, Part I. IEEE Trans.Aut.Control, Vol AC-20, pp 128–131, 1975.
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(1980). Controllability subject to controller constraints. In: Jacobson, D.H., Martin, D.H., Pachter, M., Geveci, T. (eds) Extensions of Linear-Quadratic Control Theory. Lecture Notes in Control and Information Sciences, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004378
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DOI: https://doi.org/10.1007/BFb0004378
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