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Semi-Discretization for Time-Delay Systems

Tamás Insperger
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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.
      Format: Hardback CONTRIBUTORS: Tamás Insperger EAN: 9781461403340 COUNTRY: United States PAGES: WEIGHT: 970 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 2011-07-15 CITY: GENRE: MATHEMATICS / Applied, MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Automation, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Cybernetics and systems theory, Applied mathematics, Mechanical engineering, Automatic control engineering

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      Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.
      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.
      Format: Hardback CONTRIBUTORS: Tamás Insperger EAN: 9781461403340 COUNTRY: United States PAGES: WEIGHT: 970 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 2011-07-15 CITY: GENRE: MATHEMATICS / Applied, MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Automation, TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Cybernetics and systems theory, Applied mathematics, Mechanical engineering, Automatic control engineering

      Customer Reviews

      Be the first to write a review
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      Tamas Insperger and Gabor Stepan are both Professors in the Department of Applied Mechanics at the Budapest University of Technology and Economics.

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