Title :
Rational and transcendental Lyapunov function generation
Author_Institution :
University of Pittsburg, Pittsburg, PA, USA
fDate :
4/1/1970 12:00:00 AM
Abstract :
In this correspondence, feasibility of generation of rational Lyapunov functions (LF) from any given Lyapunov function, and any RL, RC, or LC immittance function is shown. Extensions of these general results are made. Some methods of generating transcendental Lyapunov functions are also mentioned.
Keywords :
Lyapunov functions; Circuits; Control system synthesis; Data systems; Electrical equipment industry; Lyapunov method; Multidimensional systems; Permission; Polynomials; Relays; Stability;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099431