Distributionally robust system identification for continuous fermentation nonlinear switched system under moment uncertainty of experimental data

Yuan, Jinlong; Lin, Sida; Zhang, Shaoxing; Liu, Chongyang

doi:10.1016/j.apm.2023.12.023

Applied Mathematical Modelling

2024

DOI: 10.1016/j.apm.2023.12.023

|View full text |Cite

Distributionally robust system identification for continuous fermentation nonlinear switched system under moment uncertainty of experimental data

Jinlong Yuan,

Sida Lin,

Shaoxing Zhang

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A class of constrained optimal control problems arising in an immunotherapy cancer remission process

Ouyang,

Liang,

et al. 2024

era

View full text Add to dashboard Cite

<p>By considering both the single drug dose and the total drug input during the treatment period, we propose a new optimal control problem by maximizing the immune cell levels and minimizing the tumor cell count, as well as the negative effects of the total drug quantity over time. To solve this problem, the control parameterization technique is employed to approximate the control function by a piecewise constant function, which gives rise to a sequence of mathematical programming problems. Then, we derive gradients of the cost function and/or the constraints in the resulting problems. On the basis of this gradient information, we develop a numerical approach to seek the optimal control strategy for a discrete drug administration. Finally, numerical simulations are conducted to assess the impact of the total drug input on the tumor treatment and to evaluate the rationality of the treatment strategy within the anti-cancer cycle. These results provide a theoretical framework that can guide clinical trials in immunotherapy.</p>

show abstract

A class of constrained optimal control problems arising in an immunotherapy cancer remission process

Ouyang,

Liang,

et al. 2024

era

View full text Add to dashboard Cite

show abstract

Distributionally robust parameter estimation for nonlinear fed-batch switched time-delay system with moment constraints of uncertain measured output data

Lin,

Yuan,

Liu

et al. 2024

era

View full text Add to dashboard Cite

<p>In this paper, we investigated a nonlinear continuous-time switched time-delay (NCTSTD) system for glycerol fed-batch bioconversion to 1, 3-propanediol with unknown time-delay and system parameters. The measured output data was uncertain, while the first moment information about its distribution was available. Our goal was to identify these unknown quantities under the environment of uncertain measurement output data. A distributionally robust parameter estimation problem (i.e., a bi-level parameter estimation (BLPE) problem) subject to the NCTSTD system was presented, where the expectation of the discrepancy between the output of the NCTSTD system and the uncertain measured output data with respect to its probability distributions was included in the cost functional. By applying the duality theory, the BLPE problem was transformed into a single-level parameter estimation (SLPE) problem with non-smooth term approximated by a smoothing technique and its error analysis was given. Then, the gradients of the cost function of the SLPE problem were derived. A hybrid optimization algorithm was proposed for solving the SLPE problem. The paper concluded by presenting the simulation results.</p>

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Distributionally robust system identification for continuous fermentation nonlinear switched system under moment uncertainty of experimental data

Cited by 2 publications

References 38 publications

A class of constrained optimal control problems arising in an immunotherapy cancer remission process

A class of constrained optimal control problems arising in an immunotherapy cancer remission process

Distributionally robust parameter estimation for nonlinear fed-batch switched time-delay system with moment constraints of uncertain measured output data

Contact Info

Product

Resources

About