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On optimal control of monotone nonlinear systems with a generalized interaction

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Abstract

We study the problem of the existence of the optimal control of monotone nonlinear distributed systems with generalized interaction. The method proosed allows one to study monotone nonlinear systems with point, impulse, point impulse, and nonstationary controls as well as with their generalizations. Bibliography: 2 titles.

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References

  1. H. Gajewski, K. Gröger, and K. Zacharias,Nichtlineare operatorgleichungen und operatordifferentialgleichungen, Akademie-Verlag, Berlin (1974).

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  2. S. I. Lyashko, “Optimization of linear systems with generalized effects,”Obozrenie Prikl. Prom. Mat.,2, No. 1, 70–77 (1995).

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Translated fromObcyslyuval'na ta Prykladna Matematyka,, No. 81, 1997, pp 60–61

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Klyushin, D.A. On optimal control of monotone nonlinear systems with a generalized interaction. J Math Sci 102, 3773–3774 (2000). https://doi.org/10.1007/BF02680232

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  • DOI: https://doi.org/10.1007/BF02680232

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