Title :
Vector norms as Lyapunov functions for linear systems
Author :
Kiendl, H. ; Adamy, Jurgen ; Stelzner, P.
Author_Institution :
Dept. of Electr. Eng., Dortmund Univ., Germany
fDate :
6/1/1992 12:00:00 AM
Abstract :
A unified theory of quadratic and piecewise-linear Lyapunov functions for continuous and discrete-time linear systems is presented. The key to this work is the description of these Lyapunov functions by vector norms. The main results are sufficient and necessary conditions for a vector norm to be a Lyapunov function as well as a method (based on these conditions) of constructing such Lyapunov functions
Keywords :
Lyapunov methods; discrete time systems; linear systems; stability criteria; Lyapunov functions; continuous time linear systems; discrete-time linear systems; necessary conditions; sufficient conditions; unified theory; vector norms; Continuous time systems; Linear systems; Lyapunov method; Nonlinear control systems; Piecewise linear techniques; Shape; Stability; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
