Power, H.M. (1967) The Companion Matrix and Lyapunov Functions for Linear Multivariable Time-Invariant System. Journal of the Franklin Institute, 283, 214-234. http://dx.doi.org/10.1016/0016-0032(67)90025-7

has been cited by the following article:

• TITLE: Simplified Criterion of Steady-State Stability of Electric Power Systems

  AUTHORS: K. R. Allaev, A. M. Mirzabaev, T. F. Makhmudov, T. A. Makhkamov

  KEYWORDS: Steady-State Stability, Matrix Method, Lyapunov Function, Node-Voltage Equations

  JOURNAL NAME: Journal of Power and Energy Engineering, Vol.3 No.4, April 14, 2015

  ABSTRACT: In the paper the simplified criterion of a steady-state stability of electric power systems (EPS) is justified on the basis of Lyapunov functions in a quadratic form ensuring necessary and sufficient conditions of its performance. Upon that, the use of the node-voltage equations allows reducing study of a steady-state stability of complex EPS to study of the generator-bus system. The obtained results facilitate studies of a steady-state stability of the complex systems and have practical importance.