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Common solutions to the Lyapunov equations

✍ Scribed by George Phillip Barker


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
131 KB
Volume
16
Category
Article
ISSN
0024-3795

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## Abstract We will find a positive constant Ξ£~2~ such that for any 2__Ο€__ ‐periodic function __h__ (__t__) with zero mean value, the quadratic Newtonian equation __x__ β€³ + __x__^2^ = __Οƒ__ + __h__ (__t__) will have exactly two 2__Ο€__ ‐periodic solutions with one being unstable and another being tw

Comments on β€œExplicit direct solution of
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Comments und Rebuttal advantage indicated. He is quoting to this effect reference (3). This paper deals, though, with discrete systems and the Lyapunov equation of the type shown in'its title, while our paper (4) concerns continuous systems. Such systems are mentioned in (3) in a brief remark only,