Semi-Discretization for Time-Delay Systems

Gábor Stépán

ISBN 10: 1461430135 / ISBN 13: 9781461430131

Published by Springer US, Springer New York Aug 2013, 2013

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 184 pp. Englisch.

Seller Inventory # 9781461430131

Bibliographic Details

• Title: Semi-Discretization for Time-Delay Systems
• Publisher: Springer US, Springer New York Aug 2013
• Publication Date: 2013
• Language: English
• ISBN 10: 1461430135
• ISBN 13: 9781461430131
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 11D millimeters 235 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 289 grams

About this title

Synopsis

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.

About the Author

Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.