Title :
Positive real function and Lyapunov function generation
Author_Institution :
University Pittsburg, Pittsburg, PA, USA
fDate :
12/1/1968 12:00:00 AM
Abstract :
The invariance of the Lyapunov property for functions under the basic operations of addition, multiplication and, in some cases, division is shown. The results are compared with those known for positive real functions.
Keywords :
Lyapunov functions; Constraint theory; Interpolation; Lyapunov method; Nonlinear equations; Rain; Stability criteria; State estimation; Stress control; Time varying systems; Yield estimation;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1099040