# Generalized geometric programming applied to problems of optimal control: I. Theory

## Authors

Contributed Papers

DOI: 10.1007/BF00933274

- Cite this article as:
- Jefferson, T.R. & Scott, C.H. J Optim Theory Appl (1978) 26: 117. doi:10.1007/BF00933274

- 18 Citations
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## Abstract

The interest in convexity in optimal control and the calculus of variations has gone through a revival in the past decade. In this paper, we extend the theory of generalized geometric programming to infinite dimensions in order to derive a dual problem for the convex optimal control problem. This approach transfers explicit constraints in the primal problem to the dual objective functional.

### Key Words

Generalized geometric programmingcontrol theoryconvex analysisduality## Copyright information

© Plenum Publishing Corporation 1978