Analytical representations of matrix and integral linear transformations

DOI10.1007/BF02666981zbMath0918.15002OpenAlexW1985940179MaRDI QIDQ1286312

V. A. Stoyan, N. F. Kirichenko

Publication date: 19 August 1999

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02666981

zbMATH Keywords

linear systemsperturbationsmatrix functionsanalytical representationsintegral linear transformationspseudoinverse matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (17)

Methods of pseudo-inverse algebra in state identification problems for thick elastic plates ⋮ Mathematical modeling of quadratically nonlinear spatially distributed systems. II: The case of continuously defined initial-boundary external-dynamic perturbations ⋮ Mathematical modeling of spatially distributed systems polynomially dependent on linear differential transformations of the state function ⋮ Some results in the mathematical modeling of the dynamics of not completely observable spatially distributed systems ⋮ Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. II: The case of continuously defined external-dynamic perturbations ⋮ On finite increments of residuals of pseudoinversions of linear spatial-temporal transformations ⋮ On optimization of pseudoinverses of linear spatial-temporal transformations ⋮ Identification models of a one-dimensional space-time process ⋮ Mathematical modeling of the control of dynamics of thick elastic plates. I. Control under continuous desired state ⋮ Identification problem for matrix-functional systems ⋮ Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. I: The case of discretely defined external-dynamic perturbations ⋮ Pseudoinversion of the mathematical models of distributed differential systems with additive definite nonlinearity ⋮ Mathematical modeling of quadratically nonlinear spatially distributed systems. I: The case of discretely defined initial-boundary external-dynamic perturbations ⋮ Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. I: Multiplicative nonlinear systems ⋮ Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. II: Systems with additively selected nonlinearity ⋮ On the optimization of the results of pseudo-inverse modeling of the dynamics of distributed space-time processes ⋮ Program-analytical simulation of problems for distributed-parameter dynamic systems

Cites Work

• Analytical representation of perturbations of pseudoinverse matrices

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