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Generation of Liapunov functions for time-varying nonlinear systems

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1 Author(s)
Wall, E. ; University of Colorado, Denver, CO, USA

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:14 ,  Issue: 2 )