Generation of Liapunov functions for time-varying nonlinear systems
- 1 April 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (2) , 211
- https://doi.org/10.1109/tac.1969.1099127
Abstract
A procedure for the generation of Liapunov functions for time-varying nonlinear systems is described. A composite differential one-form is derived from the basic system equations. A line integral of the one-form, with t held constant, produces the candidate for a Liapunov function. An example is included.Keywords
This publication has 3 references indexed in Scilit:
- Comments on "An energy metric algorithm for the generation of Liapunov functions"IEEE Transactions on Automatic Control, 1969
- An energy metric algorithm for the generation of Liapunov functionsIEEE Transactions on Automatic Control, 1968
- Stability Criteria for Nonlinear Ordinary Differential EquationsJournal of the Society for Industrial and Applied Mathematics Series A Control, 1963