Title :
Test for Lyapunov stability by rational operations
Author_Institution :
University of Pittsburgh, Pittsburgh, PA, USA
fDate :
10/1/1975 12:00:00 AM
Abstract :
The problem of determining the positive definiteness of an arbitrary multivariable polynomial is transformed into an equivalent problem which is solvable by rational operations. Nontrivial examples which illustrate different aspects of the algorithm are given in connection with stability determination via Lyapunov´s method.
Keywords :
Lyapunov functions; Multivariable polynomials; Nonlinear systems, continuous-time; Asymptotic stability; Lyapunov method; Nonlinear systems; Polynomials; Sufficient conditions; System testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101045
