Results 241 to 250 of about 5,206,394 (288)

Systems Of Linear Congruences

Canadian Journal of Mathematics, 1955
1. Introduction. On recent occasions papers have been presented concerned with the problem of solving a system of linear congruences. Apparently the authors were not aware that this problem was solved very neatly and completely a long time ago by H. J. S. Smith (5; 6).
Butson, A. T., Stewart, B. M.
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P.O.D. for linear systems

2001 European Control Conference (ECC), 2001
In this paper we show that for linear systems there is a strong relation between P.O.D. approximation and balanced truncation. Using this relation we obtain an error estimate for the P.O.D. approximation in the Hoc-norm. A small Hoc-norm is needed in order to guarantee that a controller design for the reduced system will perform well on the original ...
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Linear systems on graphs

2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP), 2016
Many interesting ideas relating to signal processing on graphs have evolved in recent years. This paper visits some basic properties in linear system theory that have not been addressed in the context of graphs. In classical discrete-time system theory, a linear system is shift-invariant if and only if it can be described using a “polynomial” transfer ...
Oguzhan Teke, P. P. Vaidyanathan
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Linear Systems and Linearization

2010
Key to the analysis of nonlinear systems is determining the stability of the equilibria. The classical method of determining stability is to linearize the system about the equilibrium and to determine exponential rates of growth and decay for the associated linear system. The framework for carrying this out is taken up in this chapter.
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Systems of Linear Equations

1986
We shall now consider in some detail a systematic method of solving systems of linear equations. In working with such systems, there are three basic operations involved: (1) interchanging two equations (usually for convenience); (2) multiplying an equation by a non-zero scalar; (3) forming a new equation by adding one ...
Thomas S. Blyth, Edmund F. Robertson
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Patterned linear systems

Automatica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarah C. Hamilton, Mireille E. Broucke
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Stabilization of Linear Systems

SIAM Journal on Control, 1972
Summary: This paper considers a finite-dimensional linear time-varying system and is concerned with the question: What is the relation between controllability properties of the system and various degrees of stability of the closed loop system resulting from linear feedback of the state variable? The main results are as follows: For any initial time to,
Ikeda, M., Maeda, H., Kodama, S.
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Coordinated Linear Systems

2014
The concept of a coordinated linear system which contains a coordinator and two or more linear subsystems is defined. Both the case without inputs and the case with inputs are discussed in geometric terms. The class of control laws that conform with the structure of coordinated linear systems is considered: control synthesis then separates into control
Ran, A.C.M., van Schuppen, J.H.
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Solution of Linear Systems

2005
Publisher Summary This chapter gives an overview over different sparse direct methods and the related literature. The chapter discusses state of art numerical methods for the solution of linear systems. These methods fall belong to the traditional two different classes: direct solution methods based on Gaussian elimination techniques and iterative ...
Schenk, O., van der Vorst, H.A.
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Bisimilar linear systems

Automatica, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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