Semi-Discretization for Time-Delay Systems : Stability and Engineering Applications (Applied Mathematical Sciences) 〈Vol. 178〉

Insperger, T./ Stépán, G.

Springer（2011/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 174 p.／サイズ 81 illus.
• 言語 ENG
• 商品コード 9781461403340
• DDC分類 515

基本説明

Presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. The semi-discretization method is presented in a simple and clear way with examples.

Full Description

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.

Contents

Introducing delay.- Basic delay differential equations.- Newtonian examples.- Engineering applications.- Summary.- References.