© 2007

Continuous-Time Systems

  • Yuriy Shmaliy
  • Electronic systems

  • Linear time-invariant systems

  • Linear time-varying systems

  • Nonlinear time-invariant systems

  • Nonlinear time-varying systems


Table of contents

  1. Front Matter
    Pages I-XVII
  2. Yuriy Shmaliy
    Pages 1-42
  3. Yuriy Shmaliy
    Pages 43-118
  4. Yuriy Shmaliy
    Pages 119-152
  5. Yuriy Shmaliy
    Pages 153-237
  6. Yuriy Shmaliy
    Pages 349-423
  7. Yuriy Shmaliy
    Pages 425-517
  8. Yuriy Shmaliy
    Pages 519-588
  9. Back Matter
    Pages 589-639

About this book


Continuous-Time Systems is a description of linear, nonlinear, time-invariant, and time-varying electronic continuous-time systems. As an assemblage of physical or mathematical components organized and interacting to convert an input signal (also called excitation signal or driving force) to an output signal (also called response signal), an electronic system can be described using different methods offered by the modern systems theory. To make possible for readers to understand systems, the book systematically covers major foundations of the systems theory. First, the quantitative and qualitative methods of systems description are presented along with the stability analysis. The representation of linear time-invariant systems in the time domain is provided using the convolution, ordinarily differential equations (ODEs), and state space. In the frequency domain, these systems are analyzed using the Fourier and Laplace transforms. The linear time-varying systems are represented using the general convolution, ODEs, and state space. The nonlinear time-invariant systems are described employing the Taylor and Volterra series expansions, ODEs, state space, and approximate methods such as averaging, equivalent linearization, and describing function. Finally, the representation of nonlinear time-varying systems is given using the Taylor and Volterra series, ODEs, modulation functions method, and state space modelling. Review of matrix theory and other useful generalizations are postponed to Appendices.


Dirac delta function Electronic System Filter Linear Modulation Nonlinear Nonlinear system Phase Signal Simulation System Time-varying bifurcation modeling systems theory

Editors and affiliations

  • Yuriy Shmaliy
    • 1
  1. 1.Guanajuato UniversityMexico

Bibliographic information

Industry Sectors
IT & Software
Oil, Gas & Geosciences


From the reviews:

"This book is devoted to an introduction to the deterministic theory of continuous time systems described by ordinary differential equations. … The approach and the exposition are of the engineering level, without deeper mathematical developments. Many examples, mostly from electrical engineering, are presented. … the book is intended for electrical and electronic engineering students." (Tullio Zolezzi, Zentralblatt MATH, Vol. 1148, 2008)