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Article
Peer-Review Record

New Development in Quadratic L2 Performance of Switched Uncertain Stochastic Systems

Electronics 2022, 11(13), 1963; https://doi.org/10.3390/electronics11131963
Reviewer 1: Anonymous
Reviewer 2: Youssri Youssri
Electronics 2022, 11(13), 1963; https://doi.org/10.3390/electronics11131963
Received: 1 June 2022 / Revised: 17 June 2022 / Accepted: 20 June 2022 / Published: 23 June 2022

Round 1

Reviewer 1 Report

My comments:

1. Methodology need further improvement.

2. Theorem must be supported with Corollary, Lemma,... 

3. It would be interesting to include convergent analysis, stability analysis etc.

4. Need to add more examples that related to Electronics. Cannot just only simple example. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Herein, the authors studied global quadratic stability and L_2 performance in probability for switched systems consisting of linear stochastic subsystems with norm bounded uncertainties. Under the assumption that there is no single subsystem achieving GQL_2(gamma)-P, it is shown that if there exists a convex combination of subsystems achieving GQL_2(gamma)-P, then a state-dependent switching law, based on the convex combination of subsystems, is proposed under which the switched system achieves GQL_2(gamma)-P. Then, the discussion is extended to the case involving state feedback controller gain. One numerical example and the application to DC-DC boost converters are provided to demonstrate the proposed design condition and the algorithm. The article is interesting, and merits publication in the journal after addressing the following comments:

1. Electronics is a prestigious journal with a wide-diverse audience, instead of the last paragraph in the introduction and to help the journal readers, it is better to include a list of notations.

2. In (2.1) write x in bold-face format and do suitable amendments in the sequel.

3. Where is the proof of Lemma 3?

4. Separate what exactly is taken from literature and what is the new contribution, by moving all new theorems together, each one followed by its proof.

5. For the matrices given on Page 13, and 14, I see the entries in decimal format, will this affect in the sequel computations?

6. Comment on future extensions in this direction in the conclusion section.

7. Proofread the whole manuscript for typos and grammatical errors.

 

 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

The authors have revised accordingly.

However, I still feel that extra numerical is necessary.

Author Response

Thank the reviewer for reading our paper and give valuable comments. 

Concerning the first sentence, "The authors have revised accordingly", we appreciate the reviewer's positive comments and the precious time greatly. 

Concerning the second sentence, "However, I still feel that extra numerical is necessary", we would like to explain again that there are already two examples, one for numerical analysis and another for DC-DC boost converter model, and they are enough to illustrate our theory and algorithm in this paper. In addition, the advantages and the importance of the present work have been mentioned clearly in the Introduction, and moreover, in near future,  as per your suggestion, we may focus on more practical models. In the revision, we have checked the whole paper again, and also mentioned the above issue in Section 4.2 and in the conclusion. 

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