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Entropy
Volume 25
Issue 10
10.3390/e25101426
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Article
Peer-Review Record

Sustainable Optimal Control for Switched Pollution-Control Problem with Random Duration

Entropy 2023, 25(10), 1426; https://doi.org/10.3390/e25101426
by Yilun Wu 1,2,†, Anna Tur 2,† and Hongbo Wang 1,*
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Entropy 2023, 25(10), 1426; https://doi.org/10.3390/e25101426
Submission received: 30 August 2023 / Revised: 18 September 2023 / Accepted: 24 September 2023 / Published: 8 October 2023
(This article belongs to the Special Issue Mathematical Modeling, Artificial Intelligence, Dynamics and Control on Complex Systems from Science, Engineering and Sociological Science)

Round 1

Reviewer 1 Report

The subject of interest is an application of differential games to the pollution-control problem with random duration. Formally, this is a multi-person game. The cooperative nature of the game makes the issue less complex. The level of difficulty is similar to that of the conventional one-agent decision-making procedure. Moreover, the utility function has a special quadratic form, and the differential equation describing a pollution stock has a linear formula. The mathematical model is too simple, which is why this paper does not convince me in both mathematical and theoretical terms. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

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Comments for author File: Comments.pdf

Author Response

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Author Response File: Author Response.pdf

Reviewer 3 Report

This paper deals with a sustainable optimal control for switched pollution–control problem with random duration. This paper is well organized and well prove that to solve gibe problem. However, I would like to point out following as.

1.     In introduction, the description of previous work needs to their advantage and disadvantage, and also the description of object is ambiguous even though authors mentioned about it.

2.     Equation (2) is correct?

3.     In order to easily understand by reader, I hope authors should add entire figure or diagram.

4.     Please add recently published papers.

Please check the grammar.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The model is simple, and the result is not general. I admit that the general formulation of differential games is difficult. There is no need to make generalizations regarding the outcomes if the expense is excessively high. I found this paper to be an important contribution to cooperative game theory for sustainable development. For this reason, I find this paper to be publishable.

Reviewer 3 Report

I think this paper is well revised according to reviewer's point out. Thus, I would like to decided as an "accept"

Nothing

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