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Chan, W. L.

A posteriori suboptimal error estimates in control problems. (English) Zbl 0371.93002

Appl. Math. Comput. 3, 291-306 (1977).
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MSC:

93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93C99 Model systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
49J15 Existence theories for optimal control problems involving ordinary differential equations
49J99 Existence theories in calculus of variations and optimal control
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References:

[1] Athans, M.; Falb, P. C., Optimal Control, An Introduction to the Theory and Its Applications (1966), McGraw-Hill: McGraw-Hill New York · Zbl 0196.46303
[2] Pearson, J. D., Reciprocity and duality in control programming problems, J. Math. Anal. Appl., 10, 388-408 (1965) · Zbl 0131.10501
[3] Chan, W. L.; Leininger, G. G., Dual characterization of optimal systems, Proceedings of IEEE Conference on Decision and Control (1972), New Orleans · Zbl 0289.49028
[4] Chan, W. L.; Leininger, G. G.; Farison, J. B., Complimentary variational principle and duality in mathematical programming, J. Math. Anal. Appl., 43, 348-356 (1973) · Zbl 0263.49015
[5] Chan, W. L., Variational dualities in the linear regulator and estimation problems with and without time delay, J. Inst. Math. Appl., 18, 237-247 (1976) · Zbl 0357.93031
[6] Canales, R., A lower bound on the performance of optimal regulators, IEEE Trans. Autom. Control, 15, No. 4, 409-415 (1970)
[7] Aronoff, E.; Leondes, C. T., Lower bounds for a quadratic cost functional, Int. J. Syst. Sci., 7, 17-25 (1976) · Zbl 0317.49024
[8] Kwakernaak, H.; Sivan, R., Linear Optimal Control Systems (1972), Wiley: Wiley New York · Zbl 0276.93001
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