NDLI: Partial stability for a class of nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Costa, E.F. Astolfi, A.
Copyright Year	2009
Description	Author affiliation: Depto. de Matemática Aplicada e Estatística, Universidade de São Paulo, C.P. 668, 13560-970, São Carlos, Brazil (Costa, E.F.) \|\| Electrical and Electronic Engineering Dept., Imperial College London, SW7 2AZ, UK (Astolfi, A.)
Abstract	This paper studies a non-linear, discrete-time, matrix system arising in the stability analysis of Kalman filters. These systems present an internal coupling between the state components that gives rise to complex dynamic behaviour. The problem of partial stability, which requires that a specific component of the state of the system converges exponentially, is studied and solved. The convergent state component is strongly linked with the behaviour of Kalman filters, since it can be used to provide bounds for the error covariance matrix under uncertainties on the noise measurements. We exploit the special features of the system, mainly the connections with linear systems, to obtain an algebraic test for partial stability. Finally, motivated by applications in which polynomial divergence of the estimates is acceptable, we study and solve a partial semi-stability problem.
Starting Page	1068
Ending Page	1073
File Size	1332011
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5400169
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear systems Covariance matrix Stability analysis Noise measurement Linear systems Polynomials Symmetric matrices Null space Nonlinear dynamical systems System testing
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Robust Stability of a Class of Markovian Jump Nonlinear Systems

Observer design for nonlinear systems by using Input-to-State Stability

Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments

Schur stability of polytopic systems through positivity analysis of matrix-valued polynomials

Stability Analysis of Linear Interval Systems: Polynomial vs. Matrix Approach

An application of the Sum of Squares Decomposition to the L2gain computation for a class of non linear systems

On Stability of Interval Matrices

∞8 filter design for a class of nonlinear time-delay Hamiltonian systems

Stabilizing fuzzy static output control for a class of nonlinear systems

Partial stability for a class of nonlinear systems

Similar Documents

Robust Stability of a Class of Markovian Jump Nonlinear Systems

Observer design for nonlinear systems by using Input-to-State Stability

Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments

Schur stability of polytopic systems through positivity analysis of matrix-valued polynomials

Stability Analysis of Linear Interval Systems: Polynomial vs. Matrix Approach

An application of the Sum of Squares Decomposition to the L2gain computation for a class of non linear systems

On Stability of Interval Matrices

∞8 filter design for a class of nonlinear time-delay Hamiltonian systems

Stabilizing fuzzy static output control for a class of nonlinear systems

Partial stability for a class of nonlinear systems