Semi-Discretization for Time-Delay Systems: Stability and Engineering Applications (Applied Mathemat - Insperger, Tamás

Semi-Discretization for Time-Delay Systems: Stability and Engineering Applications (Applied Mathemat

Tamás Insperger

Yayınevi: Springer

Yayın tarihi: 07/2011

ISBN: 9781461403340

Yazar : Gábor Stépán

Ciltli | İngilizce | 186 Sayfa | 16,21x24,69x1,7 cm.

Tür: Matematik-İstatistik

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This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

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