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Parameterized linear systems and linearization families for nonlinear systems

IEEE Transactions on Circuits and Systems, 1987
Summary: The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs.
Wilson J. Rugh, Jianliang Wang
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Systeme linearer Gleichungen

1996
Bestimmen Sie den Schnittpunkt der Geraden mit den Funktionsgleichungen $$y = \frac{2}{3}x - 1\;und\;y = - \frac{1}{3}x + 2$$ .
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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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Verhalten linearer Systeme

1996
Die Losung der Zustandsgleichung beschreibt das zeitliche Verhalten eines Systems. Im ersten Teil dieses Kapitels wird die Bewegungsgleichung fur unterschiedliche Formen des Zustandsraummodells angegeben und diskutiert. Daraus werden anschliesend die Ubergangsfunktion und die Gewichtsfunktion als wichtige Kennfunktionen fur das Ubertragungsverhalten ...
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Systeme linearer Gleichungen

1941
In ยง 21 ist fur einen besonderen Fall die Losung eines Systems linearer Gleichungen gegeben worden.
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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 ...
T. S. Blyth, Edmund F. Robertson
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Systems of Linear Equations [PDF]

open access: possible, 1995
The theory of finite-dimensional vector spaces was created primarily in connection with one problem, and that is the simultaneous solution of a system of k linear equations in n indeterminates over a field F of the form $$ \begin{gathered} {a_{11}}{X_1} + ... + {a_{1n}}{X_n} = {b_1} \hfill \\ {a_{21}}{X_1} + ...
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Linear Systems and Polynomials

1984
One of the main applications of polynomial theory occurs in the analysis of linear electrical circuits and the many other physical situations that are customarily represented by linear-circuit analogs. With the advent of computers and digital signal processing, time-discrete systems have taken on a special significance, and these are effectively ...
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