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• W2901865452 abstract "In this study, the authors consider the input-to-state stability of an ordinary differential equation (ODE)-heat cascade system with Dirichlet interconnection where the boundary control input is located at the right end of the heat equation and the disturbance is appeared as a non-homogeneous term in the ODE. Based on two backstepping transformations, they design a state feedback control law that guarantees the input-to-state stability of the closed-loop system. The well-posedness of the closed-loop system is presented by using the semi-group approach. Moreover, they design an output feedback control law by constructing an exponentially convergent observer. With the output feedback control, the input-to-state stability of the resulting closed-loop system is proven." @default.
• W2901865452 created "2018-11-29" @default.
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• W2901865452 creator A5036714279 @default.
• W2901865452 creator A5089477258 @default.
• W2901865452 date "2019-01-01" @default.
• W2901865452 modified "2023-09-24" @default.
• W2901865452 title "Input‐to‐state stability of an ODE‐heat cascade system with disturbances" @default.
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• W2901865452 doi "https://doi.org/10.1049/iet-cta.2018.5816" @default.
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