Comment on 'Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities'

• Published in: International journal of systems science Vol. 46; no. 15; pp. 2818 - 2819
• Main Authors: Tadepalli, Siva Kumar, Kandanvli, V. Krishna Rao, Kar, Haranath
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 18.11.2015
• Subjects: discrete linear time-delay system; global asymptotic stability; linear matrix inequality; state saturation
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2013.879235

A recently reported paper (Ji, X., Liu, T., Sun, Y., and Su, H. (2011), 'Stability analysis and controller synthesis for discrete linear time-delay systems with state saturation nonlinearities', International Journal of Systems Science, 42, 397-406) for the global asymptotic stability analysis and controller synthesis for a class of discrete linear time delay systems employing state saturation nonlinearities is reviewed. It is claimed in Ji, Liu, Sun and Su (2011) that a previous approach by Kandanvli and Kar (Kandanvli, V.K.R and Kar, H. (2009), 'Robust stability of discrete-time state-delayed systems with saturation nonlinearities: Linear matrix inequality approach', Signal Processing, 89, 161-173) is recovered from their approach as a special case. It is shown that this claim is not justified.