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Robustness of Global Exponential Stability of Nonlinear Systems With Random Disturbances and Time Delays.
- Source :
- IEEE Transactions on Systems, Man & Cybernetics. Systems; Sep2016, Vol. 46 Issue 9, p1157-1166, 10p
- Publication Year :
- 2016
-
Abstract
- The robust stability of nonlinear systems has been studied extensively. It is well known that time delays and additive noises may derail the stability of nonlinear systems. This paper presents theoretical results on the robustness of the exponential stability of nonlinear systems in the presence of time delays and random disturbances. For a given exponentially stable (ES) nonlinear system, it is interesting to know how much time delay and noise intensity there are so that the system may remain to be ES when the system is subject to delay and noise. Upper bounds of allowable delays and noise intensities are derived for nonlinear systems to keep their exponential stability. It is proven that if the noise and delay of ES nonlinear systems are lower than the upper bounds derived herein, the nonlinear systems infected by noises and delays are ensured to be ES. Three numerical examples are given to substantiate the efficacy of the results. [ABSTRACT FROM PUBLISHER]
- Subjects :
- NONLINEAR systems
TIME delay systems
EXPONENTIAL stability
Subjects
Details
- Language :
- English
- ISSN :
- 21682216
- Volume :
- 46
- Issue :
- 9
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Systems, Man & Cybernetics. Systems
- Publication Type :
- Academic Journal
- Accession number :
- 117596618
- Full Text :
- https://doi.org/10.1109/TSMC.2015.2497208