An algorithm based on the variable gradient method for the construction of Lyapunov functions is proposed. This algorithm is applicable to the particular class of second-order systems with state variables expressible both in the form of trigonometrical functions and polynomials; and the extension to third-order systems appears to be possible.
Published in:
Automatic Control, IEEE Transactions on
(Volume:15
,
Issue:
4
)
Date of Publication: Aug 1970