Journal
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
Volume 15, Issue 2, Pages 489-497Publisher
INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENGINEERS
DOI: 10.1007/s12555-015-0385-4
Keywords
Finite-time stability; L-2-L-infinity filtering; nonlinear systems; stochastic systems
Categories
Funding
- Major Program of National Natural Science Foundation of China [61690210, 61690212]
- National Natural Science Foundation of China [61203125, 61503100]
- China Postdoctoral Science Foundation [2014M550189]
- Heilongjiang Postdoctoral Fund [LBH-Z13076]
Ask authors/readers for more resources
This paper presents a novel stochastic finite-time stability theorem and gives its application in the finite-time L-2-L-infinity filter design for nonlinear stochastic systems. Different form the frequently-used stochastic finite-time stability result, the proposed one does not require that all the states have the same fractional order exponent. Based on this result, a sufficient condition is given for nonlinear stochastic systems to possess the finite-time L-2-L-infinity performance with a prescribed gain. Further, an existence condition of the finite-time L-2-L-infinity filter with a prescribed disturbance attenuation level is given for nonlinear stochastic systems with external disturbance inputs. The effectiveness of the obtained results is illustrated by an example.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available