In this paper, a constructive design methodology for Finite-Time Stability (FTS) of a class of nonlinear discrete-time systems is proposed. A dead-beat controller that can achieve n–finite-time stability is constructed. Furthermore, stability conditions, based on the use of Borne and Gentina practical stability criterion and matrices in the Benrejeb arrow form, are synthesized. Similarity between transient behaviors of dead-beat controlled linearized and nonlinear third order systems are shown and concluding remarks are formulated.
Discrete Lur’e Postnikov systems; Finite-time stability; Dead-beat control; Vector norm; Benrejeb arrow form matrix.
Boutheina SFAIHI, Sirine FEKIH, Mohamed BENREJEB, "Finite-Time Convergence Stability of Lur’e Discrete-Time Systems", Studies in Informatics and Control, ISSN 1220-1766, vol. 25(4), pp. 401-410, 2016. https://doi.org/10.24846/v25i4y201601
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