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Guaranteed cost finite-time control of positive switched nonlinear systems withD-perturbation

Hao XingLeipo LiuXiangyang CaoZhumu FuShuzhong Song — 2017

Open Mathematics

This paper considers the guaranteed cost finite-time boundedness of positive switched nonlinear systems with D-perturbation and time-varying delay. Firstly, the definition of guaranteed cost finite-time boundedness is introduced. By using the Lyapunov-Krasovskii functional and average dwell time (ADT) approach, an output feedback controller is designed and sufficient conditions are obtained to ensure the corresponding closed-loop systems to be guaranteed cost finite-time boundedness (GCFTB). Such...

Inverse optimal dynamic boundary control for uncertain Korteweg-de Vries-Burgers equation

Xiushan CaiYuhang LinCong LinLeipo Liu — 2024

Kybernetika

We investigate Korteweg-de Vries-Burgers (KdVB) equation, where the dissipation and dispersion coefficients are unknown, but their lower bounds are known. First, we establish dynamic boundary controls with update laws to globally exponentially stabilize this uncertain system. Secondly, we demonstrate that the dynamic boundary control design is suboptimal to a meaningful functional after some minor modifications of the dynamic boundary controls. In addition, we also consider dynamic boundary controls...

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