Absolute Stability of a Class of Singular Nonlinear Systems with Set-Valued Mappings.
- Resource Type
- Article
- Authors
- Gaoming Feng; Xingguo Tan
- Source
- Journal of Circuits, Systems & Computers. 2015, Vol. 24 Issue 1, p1-21. 21p.
- Subject
- *SET-valued maps
*STABILITY theory
*NONLINEAR systems
*LYAPUNOV functions
*TIME delay systems
*SIMULATION methods & models
*UNCERTAINTY (Information theory)
- Language
- ISSN
- 0218-1266
A class of singular nonlinear systems with set-valued mappings are studied in this paper. Criteria are given based on the Lyapunov function to check the absolute stability of the systems, then the results are extended to the time delay systems and the time delay systems with uncertainty. Three examples are simulated to show the e®ectiveness of the proposed stability conditions. [ABSTRACT FROM AUTHOR]