The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection

The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection
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具有狄利克雷边界互连的耦合热偏微分方程系统的直接反馈控制和指数镇定

DOI:
10.1007/s12555-017-0713-y
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发表时间:
2019-01
影响因子:
3.2
通讯作者:
Guo Ya Ping
Guo Ya Ping
中科院分区:
计算机科学3区
文献类型:
--
作者:
Zhao Dong Xia;Wang Jun Min;Guo Ya Ping

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This paper addresses the exponential stability for an interconnected system of annth-order ODE system with the input governed by the Dirichlet boundary of a heat equation, and conversely, the output of the ODE is fluxed into the heat equation. The semigroup approach is adopted to show that the system operator is well-posed. We establish the exponential stability of the system by Riesz basis method. Furthermore, with MATLAB software, some numerical simulations are presented to show the effectiveness of the interconnection between the heat PDE and ODE systems.
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