Journal
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 30, Issue 2, Pages 526-537Publisher
WILEY
DOI: 10.1002/rnc.4773
Keywords
noise-to-state instability; noise-to-state stability; random nonlinear systems; uniformly asymptotically stable function (UASF)
Funding
- National Natural Science Foundation of China [61633014, 61973198]
- SDUST Research Fund [2015TDJH105]
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Project of Shandong Province Higher Educational Science and Technology Program [J18KA241]
- Postgraduate Technology Innovation Project of Shandong University of Science and Technology [SDKDYC190365]
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This paper investigates the noise-to-state stability and instability criteria for random nonlinear affine systems. Firstly, some new noise-to-state stability theorems, which weaken the sufficient conditions in the existing stability criteria on random nonlinear systems, are given by means of the uniformly asymptotically stable function. Secondly, the noise-to-state instability definitions are introduced and the sufficient conditions of noise-to-state instability are provided based on a new established lemma and the uniformly asymptotically stable function. Finally, some examples show the feasibility of theoretical findings.
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