The Study of Optimal Control for Some Parabolic Distributed Parameter Systems

Qi Runde; Ju Shoude; Zhu Guangtian

doi:10.13374/j.issn1001-053x.1987.01.011

Volume 9 Issue 1

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Qi Runde, Ju Shoude, Zhu Guangtian. The Study of Optimal Control for Some Parabolic Distributed Parameter Systems[J]. Chinese Journal of Engineering, 1987, 9(1): 73-79. doi: 10.13374/j.issn1001-053x.1987.01.011

Citation:

Qi Runde, Ju Shoude, Zhu Guangtian. The Study of Optimal Control for Some Parabolic Distributed Parameter Systems[J]. Chinese Journal of Engineering, 1987, 9(1): 73-79. doi: 10.13374/j.issn1001-053x.1987.01.011

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The Study of Optimal Control for Some Parabolic Distributed Parameter Systems

doi: 10.13374/j.issn1001-053x.1987.01.011

Received Date: 1986-02-27
Available Online: 2021-10-28

Abstract

Abstract

This paper proves the existence of mixed linear optimal control in a quadratic criterion, by analysing the characteristics of linear differential operator A and using the properties of semigroups of compact operators and Picard theorem, for one-dimensional diffusion processes. And then, according to the reference[3], the optimal control law has been given in detail. Besides, the results given in the references[1-2]are discussed as the special cases in the paper.
- distrbuted parameter systems,
- optimal control,
- parabolic partial differential equations