Title
Exponential Observer for a Class of One-Sided Lipschitz Stochastic Nonlinear Systems
Abstract
This note investigates observer design for a class of nonlinear one-sided Lipschitz stochastic systems with multiplicative noises. It is shown that the almost sure exponential convergence of the observation error could be treated by decoupling the state from this error. This is done by using a new theorem dedicated to triangular stochastic systems. The observer gains are designed using a polytopic technique exploiting the structure of the control inputs, coupled with a descriptor systems approach.
Year
DOI
Venue
2015
10.1109/TAC.2014.2325391
Automatic Control, IEEE Transactions  
Keywords
Field
DocType
Observers,Stochastic systems,Lyapunov methods,Control theory,Stability,Noise,Vectors
Mathematical optimization,Exponential function,Nonlinear system,Multiplicative function,Control theory,Decoupling (cosmology),Descriptor systems,Lipschitz continuity,Observer (quantum physics),Exponential convergence,Mathematics
Journal
Volume
Issue
ISSN
60
1
0018-9286
Citations 
PageRank 
References 
6
0.48
5
Authors
4
Name
Order
Citations
PageRank
Asma Barbata162.17
Michel Zasadzinski222646.40
Harouna Souley Ali3205.98
Hassani Messaoud44814.98