Rapid and finite-time boundary stabilization of a KdV system
Hoai-Minh Nguyen
TL;DR
This paper develops various feedback control strategies, including static, dynamic, and time-varying controls, to achieve rapid and finite-time boundary stabilization of a KdV system, enhancing control effectiveness.
Contribution
It introduces novel static, dynamic, and time-varying feedback controls for local rapid and finite-time boundary stabilization of KdV systems using Gramian operators.
Findings
Successful construction of static and dynamic feedback controls for rapid stabilization.
Development of time-varying feedback controls for finite-time stabilization.
Effective use of Gramian operators in control design.
Abstract
We construct a static feedback control in a trajectory sense and a dynamic feedback control to obtain the local rapid boundary stabilization of a KdV system using Gramian operators. We also construct a time-varying feedback control in the trajectory sense and a time varying dynamic feedback control to reach the local finite-time boundary stabilization for the same system.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Numerical methods for differential equations