The comparison method applied to the stability of systems with known first integrals
(1974) 6th International Conference on Nonlinear Oscillations — Location: Poznan, Poland (29.August.1972)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- Using the comparison method, the stability study of the unperturbed motion of a differential system of /b n/ scalar equations with /b m/ known independent first integrals (1<or=/b m/</b n /), is reduced to that of the corresponding solution of a certain reduced system of 8/b n/-/b m/) scalar equations. Some theorems of stability and partial asymptotic stability of the unperturbed motion are given. These results are applied in Mechanics for the stability study of generalized steady motions of non-autonomous holonomic dissipative systems with ignorable coordinates. As an illustration, a concrete example of a stabilization problem by means of an elastic force with time-varying coefficient is given.
- Affiliations
Citations
Risito, C. (1974). The comparison method applied to the stability of systems with known first integrals. Nonlinear Vibrations Problems, p. 25-45.