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Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management

التفاصيل البيبلوغرافية
العنوان: Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management
المؤلفون: Liang Zhu, Baolong Zhu, Zhiguo Yan, Guolin Hu
المصدر: Mathematics, Vol 10, Iss 12, p 1997 (2022)
بيانات النشر: MDPI AG, 2022.
سنة النشر: 2022
المجموعة: LCC:Mathematics
مصطلحات موضوعية: finite-time contractive boundedness, positive linear systems, H∞ performance, cone complementary linearization, Mathematics, QA1-939
الوصف: This paper investigates the finite-time contractively bounded control issue for positive linear systems under H∞ performance. The notion of H∞ finite-time contractive boundedness is first extended to positive systems. Finite-time contractively bounded control is considered to ensure the H∞ finite-time contractive boundedness of the considered positive systems. A state feedback finite-time contractively bounded controller design method is proposed. The corresponding sufficient condition for the existence of the desired controller is derived by using the Lyapunov function method and the matrix inequality technique. Moreover, a computable scheme for solving the controller gain is established by employing the cone complementary linearization approach. Finally, a numerical example and an application example about pest management are used to validate the effectiveness of proposed conditions.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2227-7390
24581186
Relation: https://www.mdpi.com/2227-7390/10/12/1997; https://doaj.org/toc/2227-7390
DOI: 10.3390/math10121997
URL الوصول: https://doaj.org/article/a24581186bd64eac915401834679517f
رقم الأكسشن: edsdoj.24581186bd64eac915401834679517f
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22277390
24581186
DOI:10.3390/math10121997