Further improvement of Jensen inequality and application to stability of time-delayed systems
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Jin-Hoon Kim [1]
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[1] Chungbuk National University,South Korea
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- Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 64, 2016, págs. 121-125
- Idioma: inglés
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Resumen
This paper is concerned with the delay-dependent stability for the linear systems with a time-varying delay. To get a result in the form of LMI from a Lyapunov–Krasovskii functional, an integral inequality is necessary and Jensen inequality has been a most powerful inequality in the last few years. Recently, based on Wirtinger inequality, an improved integral inequality, encompassing Jensen inequality, was proposed and its application to the stability showed a quite improvement. In this paper, without using Wirtinger inequality, a further improved integral inequality in the form of infinite series is derived, and, based on this, a delay-dependent stability condition in the form of LMI is derived. Finally, its contribution on the stability criterion is shown by well-known two examples.
