Lyapunov functionals for a class of wave equations

5 April 1968

journal article
Published by Institution of Engineering and Technology (IET) in Electronics Letters

Vol. 4 (7) , 128-130
https://doi.org/10.1049/el:19680099

Abstract

For a class of wave equations, a method of determining a suitable Lyapunov functional guaranteeing asymptotic stability is developed. The method is based on the construction of Lyapunov functions for ordinary differential equations. For a particular example, results identical to those determined from an eigenfunction expansion are obtained.

Keywords

FUNCTIONAL
WAVE EQUATIONS
DIFFERENTIAL
EIGENFUNCTION
ORDINARY
ASYMPTOTIC
LYAPUNOV
CLASS OF WAVE

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