Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-25T06:18:16.731Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence of optimal control for nonlinear systems with quadratic performance

Published online by Cambridge University Press:  17 February 2009

K. Balachandran  and
D. Somasundaram
K. Balachandran
Affiliation:
Department of Mathematics, Madras University PG Centre, Salem 636 011, Tamil Nadu, India.
D. Somasundaram
Affiliation:
Department of Mathematics, Madras University PG Centre, Salem 636 011, Tamil Nadu, India.
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.

We prove the existence of optimal control for nonlinear systems having implicit derivative with quadratic performace criteria.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 2 , October 1987 , pp. 249 - 255
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Athans, M. and Faib, P. L., Optimal Control (McGraw Hill, New York, 1966).Google Scholar
[2]Colonius, F. and Hinrichsen, D., “Optimal Control of Functional Differential Systems”, SIAM J. Control Optim. 16 (1978), 861–879.CrossRefGoogle Scholar
[3]Conti, R., Linear Differential Equations and Control (Academic Press, London, 1976).Google Scholar
[4]Dacka, C., “On the Controllability of a Class of Nonlinear Systems”, IEEE Trans. Automat. Control 25 (1980), 263–266.CrossRefGoogle Scholar
[5]Lukes, D. L., “Optimal Regulation of Nonlinear Systems”, SIAM J. Control Optim. 7 (1969), 75–100.CrossRefGoogle Scholar
[6]Sadovskii, B. J., “Limit Compact and Condensing Operators”, Russian Math. Surveys 27 (1972), 85–156.CrossRefGoogle Scholar
[7]Yamamoto, Y., “Optimal Control of Nonlinear Systems with Quadratic Performance”, J. Math. Anal. Appl. 64 (1978), 348–353.CrossRefGoogle Scholar