Suscripción a Biblioteca: Guest
Portal Digitalde Biblioteca Digital eLibros Revistas Referencias y Libros de Ponencias Colecciones
Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

Volumes:
Volumen 52, 2020 Volumen 51, 2019 Volumen 50, 2018 Volumen 49, 2017 Volumen 48, 2016 Volumen 47, 2015 Volumen 46, 2014 Volumen 45, 2013 Volumen 44, 2012 Volumen 43, 2011 Volumen 42, 2010 Volumen 41, 2009 Volumen 40, 2008 Volumen 39, 2007 Volumen 38, 2006 Volumen 37, 2005 Volumen 36, 2004 Volumen 35, 2003 Volumen 34, 2002 Volumen 33, 2001 Volumen 32, 2000 Volumen 31, 1999 Volumen 30, 1998 Volumen 29, 1997 Volumen 28, 1996

Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v34.i5.20
11 pages

Optimal Perturbation of Pseudoinverse and Projection Matrices in the Problems of Linear Systems Synthesis

Sergey B. Bublik
Kyiv National Taras Shevchenko University, Ukraine
Nikolay Fedorovich Kirichenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv

SINOPSIS

The problem of optimal synthesis of matrices in the linear algebraic systems with some criteria of quality is investigated for the purpose of application to formulation and research of problems of optimal distribution of controlling actions in the linear systems with discrete argument and boundary conditions. The necessary optimality conditions of discrepancy, norms of the principal solution and quantity of controlling actions both for a system of linear algebraic equations and boundary value problem based on general solving systems of linear algebraic equations, the general solving the control problem for linear discrete systems with boundary conditions as well as direct and reverse Greville formulas are formulated. The results of theory of pseudoinverse and projection matrices perturbation are employed for formulating conditions for optimal synthesis of matrices.


Articles with similar content:

Invariant Sets of Nonlinear Discrete Systems with Bounded Disturbances and Control Problems
Journal of Automation and Information Sciences, Vol.41, 2009, issue 11
Boris T. Polyak, Vsevolod M. Kuntsevich
Optimization on Arrangements: the Simplex Form of Polyhedron of Arrangements
Journal of Automation and Information Sciences, Vol.49, 2017, issue 12
Oleg A. Yemets, Alexandra O. Yemets, Ivan M. Polyakov
Numerical Approach to Parametric Identification of Dynamical Systems
Journal of Automation and Information Sciences, Vol.46, 2014, issue 3
Vagif Maarif oglu Abdullayev, Kamil Rajab ogly Aida-zade
Method for Searching the Gradient of the Functional by the Matrix of a Feedback Circuit on Solving the Problem of the Synthesis of the Optimal Stabilization System by Output
Journal of Automation and Information Sciences, Vol.34, 2002, issue 3
Nargiz Akhmed Kizi. Safarova, Fikret Akhmed Ali Ogly Aliev
Control Problem with Non-Separated Multipoint and Integral Conditions
Journal of Automation and Information Sciences, Vol.45, 2013, issue 3
Vagif Maarif oglu Abdullayev, Kamil Rajab ogly Aida-zade