descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 1983 English Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Automatic Control, volume 28, pages 1,055-1,057 (issn: 0018-9286,

Authors: R. Marino; S. Nicosia;

doi: 10.1109/tac.1983.1103168

Hamiltonian-type Lyapunov functions

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Abstract

A flexible and systematic way for the construction of Lyapunov functions which lends itself to the use of nonlinear programming techniques is presented. The class of Lyapunov functions obtained is shown to be energy functions (Hamiltonians) for an equivalent system.

Keywords

Nonlinear programming, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, Control/observation systems governed by ordinary differential equations, energy functions, Lyapunov functions

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