JOURNAL OF OPTIMIZATION AND APPLICATIONS: Vol. ... Problems of Optimal Control: Part I, Theory ... Generalized geometric programming, control theory,.
JOURNAL OF OPTIMIZATION AND APPLICATIONS: Vol. 30, No. 1, JANUARY I980
ERRATA CORRIGE Generalized Geometric Programming Applied to Problems of Optimal Control: Part I, Theory T. R. J E F F E R S O N 1 A N D C. H . S C O T T 1
Communicated by M. Avriel
Abstract.
A modification to the formulation in Ref. 1 is given.
Key Words. Generalized geometric programming, control theory, convex analysis, duality.
The results given in our previous p a p e r (Ref. 1) are only correct in the absence of pure state constraints (Ref. 2). Hence, we require that Ci, the implicit constraints on the state, be the whole space L2([0, T]).
References
1. JEFFERSON, T. R., and SCOTT, C. H., Generalized Geometric Programming Applied to Problems of Optimal Control: Part L Theory, Journal of Optimization Theory and Applications, Vol. 26, pp. 117-129. 1978. 2. ROCKAFELLAR, R. T., State Constraints in Convex Control Problems of Bolza, SIAM Journal of Control, Vol. 10, pp. 691-715, 1972.
I Senior Lecturer, School of Mechanical and IndustriM Engineering, The University of New South Wales, Australia.
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