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ABSTRACT: A delay dependent stability problem is addressed for neutral systems with discrete and distributed delays. A new stability criterion, based on the solution of linear matrix inequalities, is proposed. Two examples are given to illustrate that the proposed method is effective and can provide a less conservative result.
IEE Proceedings - Control Theory and Applications 02/2003; · 1.05 Impact Factor
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ABSTRACT: This article deals with the robust filtering problem for neutral delay differential systems with parametric uncertainties. A linear matrix inequality (LMI) approach is proposed to design the robust filter such that the filtering system remains asymptotically stable and the bound of norm is minimized. The Lyapunov stability theory is used for analysis of the system. A numerical example is provided to illustrate the validity of proposed design approach.
Applied Mathematics and Computation 159(3):625-639. · 1.32 Impact Factor
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ABSTRACT: In this paper, we investigate the problems of stability and filtering for a class of linear neutral delay-differential systems. A linear matrix inequality approach is proposed to design a robust filter such that the filtering system remains asymptotically stable and the bound of norm is minimized. The Lyapunov stability theory is used for analysis of the system. A numerical example illustrate the theoretical results.
Applied Mathematics and Computation.
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ABSTRACT: In this paper, a novel stability criterion is presented for neutral differential systems. Based on the Lyapunov method, the stability criterion is derived in terms of linear matrix inequalities which can be easily solved by efficient convex optimization algorithms. Numerical examples are included to show the effectiveness of the proposed method.
Applied Mathematics and Computation.
