Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-12T09:19:17.774Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary conditions optimal control

Published online by Cambridge University Press:  17 February 2009

B. D. Craven
B. D. Craven
Affiliation:
Mathematics Deaprtment, University of Melbourne, Parkville, Vic. 3052, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A simple rigorous approach is given to finding boundary conditions for the adjoint differential equation in an optimal control problem. The boundary conditions for a time-optimal problem are calculated from the simpler conditions for a fixed-time problem.

Type
Research Article
Information
The ANZIAM Journal , Volume 30 , Issue 3 , January 1989 , pp. 343 - 349
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Craven, B. D., “Lagrangian conditions and quasiduality”, Bull. Austral. Math. Soc. 16 (1977), 325–339.CrossRefGoogle Scholar
[2]Craven, B. D., Mathematical Programming and Control theory, (Chapman & Hall, London, 1978).CrossRefGoogle Scholar
[3]Craven, B. D., “Generalised functions for applications”, J. Austral. Math. Soc., Ser. B, 26 (1985), 362–374.CrossRefGoogle Scholar
[4]Fleming, W. H. and Rishel, R. W., Deterministic and Stochastic Optimal Control, (Springer-Verlag, Berlin, 1975).CrossRefGoogle Scholar
[5]Goh, C. J. and Teo, K. L., “MISER, an Optimal Control Software”, Dept. of Industrial & Systems Engineering, National University of Singapore, Singapore, 1987.Google Scholar
[6]Teo, K. L., Jepps, G., Moore, E. J. and Hayes, S., “A computational method for free time optimal control problems, with application to maximising the range of an aircraft-like projectile”, J. Austral. Math. Soc., Ser. B, 28 (1987), 393–413.CrossRefGoogle Scholar