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ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
Indexed in
Optimal Perturbation of Pseudoinverse and Projection Matrices in the Problems of Linear Systems Synthesis
Краткое описание
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.