Title
Stochastic stabilization of nonlinear systems in feedforward form with noisy outputs
Abstract
We study the problem of globally stabilizing through measurement feedback a class of uncertain stochastic nonlinear systems in feedforward (or upper triangular) form, with state equations affected by a Wiener process adapted to a given filtration of /spl sigma/-algebras and measurements affected by a sample continuous and strongly Markov stochastic process adapted to the same filtration of /spl sigma/-algebras. We propose a step-by step design, based on splitting the system /spl Sigma/ into one-dimensional interconnected systems /spl Sigma//sub j/, j=1,...,n. Moreover, we introduce the notion of practical stability in probability, which corresponds to having a large probability of being the state small in norm whenever the noise affecting the measurements has a "small" second order moment.
Year
DOI
Venue
2005
10.1109/TAC.2004.841129
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Stochastic systems,Nonlinear systems,Noise measurement,Nonlinear equations,Control systems,State feedback,Filtration,Stability,Measurement uncertainty,Adaptive control
Computer vision,Corner detection,Mathematical analysis,Algorithm,Ground truth,Artificial intelligence,Pixel,Probabilistic logic,Mathematics
Journal
Volume
Issue
ISSN
50
1
0018-9286
Citations 
PageRank 
References 
4
0.62
1
Authors
1
Name
Order
Citations
PageRank
Stefano Battilotti113642.34