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Existence of optimal control for nonlinear systems with quadratic performance

Published online by Cambridge University Press:  17 February 2009

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.
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Abstract

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

Type
Research Article
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), 861879.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), 263266.CrossRefGoogle Scholar
[5]Lukes, D. L., “Optimal Regulation of Nonlinear Systems”, SIAM J. Control Optim. 7 (1969), 75100.CrossRefGoogle Scholar
[6]Sadovskii, B. J., “Limit Compact and Condensing Operators”, Russian Math. Surveys 27 (1972), 85156.CrossRefGoogle Scholar
[7]Yamamoto, Y., “Optimal Control of Nonlinear Systems with Quadratic Performance”, J. Math. Anal. Appl. 64 (1978), 348353.CrossRefGoogle Scholar