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

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Názov: Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management
Autori: Liang Zhu, Baolong Zhu, Zhiguo Yan, Guolin Hu
Zdroj: Mathematics ; Volume 10 ; Issue 12 ; Pages: 1997
Informácie o vydavateľovi: Multidisciplinary Digital Publishing Institute
Rok vydania: 2022
Zbierka: MDPI Open Access Publishing
Predmety: finite-time contractive boundedness, positive linear systems, H ∞ performance, cone complementary linearization
Popis: 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.
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Popis súboru: application/pdf
Jazyk: English
Relation: https://dx.doi.org/10.3390/math10121997
DOI: 10.3390/math10121997
Dostupnosť: https://doi.org/10.3390/math10121997
Rights: https://creativecommons.org/licenses/by/4.0/
Prístupové číslo: edsbas.FEC1D39
Databáza: BASE
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  Data: Finite-Time Contractively Bounded Control of Positive Linear Systems under H∞ Performance and Its Application to Pest Management
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  Data: <searchLink fieldCode="AR" term="%22Liang+Zhu%22">Liang Zhu</searchLink><br /><searchLink fieldCode="AR" term="%22Baolong+Zhu%22">Baolong Zhu</searchLink><br /><searchLink fieldCode="AR" term="%22Zhiguo+Yan%22">Zhiguo Yan</searchLink><br /><searchLink fieldCode="AR" term="%22Guolin+Hu%22">Guolin Hu</searchLink>
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  Data: Mathematics ; Volume 10 ; Issue 12 ; Pages: 1997
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  Data: Multidisciplinary Digital Publishing Institute
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  Data: 2022
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  Data: <searchLink fieldCode="DE" term="%22finite-time+contractive+boundedness%22">finite-time contractive boundedness</searchLink><br /><searchLink fieldCode="DE" term="%22positive+linear+systems%22">positive linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22H+∞+performance%22">H ∞ performance</searchLink><br /><searchLink fieldCode="DE" term="%22cone+complementary+linearization%22">cone complementary linearization</searchLink>
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  Label: Description
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  Data: 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.
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      – SubjectFull: finite-time contractive boundedness
        Type: general
      – SubjectFull: positive linear systems
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