Boundary Control for Exponential Stabilization of Nonlinear Distributed Parameter Systems Modeled by PIDEs Article Swipe

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Chengdong Yang , Tingwen Huang , Zhenxing Li , Ancai Zhang , Jianlong Qiu , Fuad E. Alsaadi ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1109/access.2018.2867343

This paper studies boundary control for exponential stabilization for a distributed parameter system, modeled by semi-linear parabolic partial integro-differential equations (PIDEs) in a 1-D spatial domain. A boundary controller based on boundary measurement is designed for exponential stabilization of the PIDE system, and it is implemented by controlling and measuring only one endpoint of the 1-D spatial domain. With the Lyapunov direct method and Wirtinger's inequality, a sufficient condition for exponential stabilization of the PIDE system with a given decay rate is investigated. Dealing with a special case of PIDE systems, one lemma called Yang inequality is proposed, and a new less conservative sufficient condition is investigated. An example with two cases is given to show the effectiveness and less conservativeness of the proposed methods by using Yang inequality.

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Exponential stability Boundary (topology) Control theory (sociology) Mathematics Domain (mathematical analysis) Nonlinear system Controller (irrigation) Exponential function Applied mathematics Boundary value problem Lemma (botany) Lyapunov function Exponential growth Mathematical analysis Computer science Control (management) Physics Agronomy Quantum mechanics Artificial intelligence Biology Poaceae Ecology

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Type: article
Language: en
Landing Page: https://doi.org/10.1109/access.2018.2867343
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Cited By: 7
References: 39
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Title: Boundary Control for Exponential Stabilization of Nonlinear Distributed Parameter Systems Modeled by PIDEs

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Publication year: 2018

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Authors: Chengdong Yang, Tingwen Huang, Zhenxing Li, Ancai Zhang, Jianlong Qiu, Fuad E. Alsaadi

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Landing page: https://doi.org/10.1109/access.2018.2867343

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Concepts: Exponential stability, Boundary (topology), Control theory (sociology), Mathematics, Domain (mathematical analysis), Nonlinear system, Controller (irrigation), Exponential function, Applied mathematics, Boundary value problem, Lemma (botany), Lyapunov function, Exponential growth, Mathematical analysis, Computer science, Control (management), Physics, Agronomy, Quantum mechanics, Artificial intelligence, Biology, Poaceae, Ecology

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Cited by: 7

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