alexa On Stability Conditions of Singularly Perturbed Nonlinear Lur’e Discrete-Time Systems


Journal of Applied & Computational Mathematics

Author(s): LARA Automatique

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This paper deals with stability of discrete-time nonlinear Lur’e-type systems. Through the singular perturbations technique, the original system is reduced to a block-diagonal form with slow and fast decoupled modes. Stability conditions of the two-time-scale decoupled model based on Borne-Gentina practical stability criterion and the use of matrices in the Benrejeb arrow form are developed and compared with those concerning the original discrete-time system. It is shown that these results are practical and less conservative then the existing ones. A third order system is introduced to illustrate the efficiency of the proposed approach

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This article was published in Nonlinear Dynamics and Systems Theory and referenced in Journal of Applied & Computational Mathematics

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