Ymn, {amn} and {bran} are real sequences, m, n E No, and f, g: R --+ R are continuous with uf(u) > 0 and up(u) > 0 for all u β’ 0. A solution ({xm~},{y,~,~}) of this system is oscillatory if both components are oscillatory. Some sufficient conditions are derived for all solutions of this system to be
An investigation of forced oscillation for signal stabilisation of two-dimensional nonlinear system
β Scribed by K.C. Patra; B.B. Pati
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 181 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0167-6911
No coin nor oath required. For personal study only.
β¦ Synopsis
The phenomena of synchronisation, desynchronisation and forced oscillation has been studied using describing function theory for a two input and two output nonlinear system containing saturation-type nonlinearities and subjected to highfrequency deterministic signal (dither) for the purpose of limit cycle quenching. The analytical results have been compared with the results of digital simulation=MATLAB-SIMULINK for a typical example varying the nonlinear element.
π SIMILAR VOLUMES
Several new oscillation criteria for two-dimensional nonlinear difference systems are established. Examples which dwell upon the importance of our results are also included.
Classification schemes for nonoscillatory solutions of a class of nonlinear two-dimensional nonlinear difference systems are given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of these solutions are also provided.
We generalize a theorem by J.-M. Coron (see [Sur la stabilisation des fluides parfaits incompressibles bidimensionnels, in: SΓ©minaire Γquations aux DΓ©rivΓ©es Partielles, Γcole Polytechnique, Centre de MathΓ©matiques, 1998-1999, exposΓ© VII]) and prove the existence of steady states of the Euler system