Stability of Nonautonomous Systems,
Abstract
Recent advances in the study of the limiting equations of nonautonomous systems and the invariance properties of positive limit sets of solutions motivate improving some of the known results connected with Liapunov's direct method. The report contains improvements of a theorem due originally to Yoshizawa and some improved sufficient conditions for asymptotic stability and instability. What is done is to again generalize the notion of a Liapunov function. It is noted how the new knowledge concerning invariance properties immediately sharpens the results.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 11, 1976
- Accession Number
- ADA028153
Entities
People
- J. P. Lasalle
Organizations
- Brown University