Title :
Numerical algorithm for implementing Zubov´s construction in two-dimensional systems
Author_Institution :
Lehigh University, Bethleham, PA, USA
fDate :
2/1/1974 12:00:00 AM
Abstract :
A result due to Erugin is combined with Zubov´s theorem in obtaining a numerical algorithm for constructing segments of the asympotic stability domain of two-dimensional systems. A requisite of the algorithm is that one point of the segment under construction be known a priori. Two examples picked arbitrarily are given to illustrate the technique.
Keywords :
Asymptotic stability; Lyapunov methods; Asymptotic stability; Finite difference methods; Integral equations; Lyapunov method; Orbits; Thermal stability; Thermodynamics;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1974.1100484