Necessary Conditions in Mathematical Programming and Optimal Control Theory
In these lectures I will present a theory of necessary conditions for nonlinear optimizations problems in infinite-dimensional spaces and I will apply the results of the theory to the optimal control of systems described by families of nonlinear ordinary differential equations.
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- 1.Carathéodory, C., Calculus of Variations and Partial Differ- ential Equations of the First Order, Holden-Day, San Francisco, 1967.Google Scholar
- 3.Halkin, H., Nonlinear nonconvex programming in an infinite dimensional space, in “Mathematical Theory of Control”, A. V. Balakrishnan and L. W. Neustadt, eds., Academic Press, 1968Google Scholar
- 4.John, F., Extremum Problems with Inequalities as Subsidiary Conditions, in K. O. Friedricks, O. E. Neugebauer, and J. J. Stoker, (eds.) “Studies and Essays: Courant Anniversary Volume”, pp. 187–204, Interscience Publishers, New York, 1948.Google Scholar