Please use this identifier to cite or link to this item:
http://nopr.niscpr.res.in/handle/123456789/24383| Title: | Stability of non-linear systems under dynamic states |
| Authors: | Itaketo, U T Ogbogu, S O E Chukwudebe, G A |
| Issue Date: | Apr-2000 |
| Publisher: | NISCAIR-CSIR, India |
| Abstract: | In this paper, Lyapunov 's second method for evaluation of stability of non-linear systems under dynamic states is presented. The method is found to be powerful on stability analysis of non-linear systems but is also incomplete due to arbitrary choice of a function V(x), called the Lyapunov function. As an improvement of this method, models for determining the Lyapunov functions V(x) and V(x) precisely for testing for asymptotic stability of non-linear systems under dynamic states are developed. The procedures in the development of the models utilize matrix algebra and contour integral mathematics extensively. The models are tested analytically on a referenced non-linear system and found to be effective. The developed models thereby complement and improve Lyapunov's method for stability evaluation/analysis of non-linear systems under dynamic states. |
| Page(s): | 61-65 |
| ISSN: | 0975-1017 (Online); 0971-4588 (Print) |
| Appears in Collections: | IJEMS Vol.07(2) [April 2000] |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| IJEMS 7(2) 61-65.pdf | 923.6 kB | Adobe PDF | View/Open |
Items in NOPR are protected by copyright, with all rights reserved, unless otherwise indicated.