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 Tên Mixed $H_{\infty}$ and passive control for fractional-order nonlinear systems via LMI approach Lĩnh vực Toán học Tác giả Dinh Cong Huong, Mai Viết Thuận Nhà xuất bản / Tạp chí Acta Applicandae Mathematicae (SCI) Năm 2020 Số hiệu ISSN/ISBN Tóm tắt nội dung This the first time that the problem of global asymptotic stability analysis, and mixed H∞ and passive control for a class of control fractional-order nonlinear systems has been studied in this paper. By using the Lyapunov direct method and some properties of fractional calculate, we propose sufficient conditions to ensure the unforced system to be asymptotically stable with mixedH∞and passivity performance level. Further, mixed H∞ and passive control design with an appropriate gain matrix has been derived to achieve the stabilization for fractional-order system with nonlinear perturbations and order 0<α< 1. These conditions are in the form of linear matrix inequalities, which therefore can be efficiently solved by using existing convex algorithms. The effectiveness of our results is illustrated through three numerical examples.