RLC Networks Equations and Analysis Methods

  • Fernando Corinto
  • Mauro Forti
  • Leon O. Chua


Let us consider a circuit N made of an arbitrary interconnection of (two-terminal) circuit elements. In general, analysis and design of a circuit require to solve a network problem where numerous mathematical (circuit) variables are established and then a set of equations is generated describing the behavior of the composite network. Fundamental principles of Circuit Theory permit to show that circuit equations depend on (a) the structure of the network and (b) the properties of the devices which it contains. If the network contains nonlinear elements, then the equations are usually more difficult to solve.


  1. 1.
    L.O. Chua, C.A. Desoer, E.S. Kuh, Linear and Nonlinear Circuits (McGraw-Hill, New York, 1987)zbMATHGoogle Scholar
  2. 2.
    L.O. Chua, P.-M. Lin, Computer Aided Analysis of Electronic Circuits, Algorithms and Computational Techniques (Prentice-Hall, Englewood Cliffs, 1975)zbMATHGoogle Scholar
  3. 3.
    H.K. Khalil, Nonlinear Systems (Prentice Hall, Englewood Cliffs, 2002)Google Scholar
  4. 4.
    L.O. Chua, Dynamic nonlinear networks: state-of-the-art. IEEE Trans. Circuits Syst. 27(11), 1059–1087 (1980)MathSciNetCrossRefGoogle Scholar
  5. 5.
    M.W. Hirsch, R.L. Devaney, S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, vol. 60 (Academic, Cambridge, 1974)zbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2021

Authors and Affiliations

  • Fernando Corinto
    • 1
  • Mauro Forti
    • 2
  • Leon O. Chua
    • 3
  1. 1.Department of Electronics & TelecommunicationsPolitecnico di TorinoTorinoItaly
  2. 2.Department of Information Engineering and MathematicsUniversity of SienaSienaItaly
  3. 3.University of CaliforniaBerkeleyUSA

Personalised recommendations