Optimal heat emissivity control of n population system based on individual size-distribution-Reference-Cited by-同舟云学术

Optimal heat emissivity control of n population system based on individual size-distribution

Published:2023-10-18 Issue:1 Volume:13 Page:
ISSN:2045-2322
Container-title:Scientific Reports
language:en
Short-container-title:Sci Rep

Author:

Ba Zhenggang,Wang Ye

Abstract

AbstractThis paper generalizes a class of controllability problems based on the scale structure population system model. Based on the comparison principle of linear systems, the solution of the nonlinear system model is obtained by referring to the fixed point theorem. The non-negative, boundedness, existence, and uniqueness of the solution of the system model are established. The optimality condition is described in detail by means of a normal cone and conjugate system under the condition of proving the continuous dependence of the state environment on the solution to control variables.

Funder

National Natural Science Foundation of China

Gansu Province Natural Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Link

https://www.nature.com/articles/s41598-023-42648-3.pdf

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