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with an arbitrary symmetric matrix P i , then, according to [[1], Theorem 3.1], y ˜ i solves the symplectic difference system with coefficients depending on P i.
Since we are assuming that the solution u ( t ) of (1.1) is given (fixed), system (1.1) may be considered as a linear nonautonomous system with coefficients A ( t ) = A ( t, u ) depending only on a time variable.
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Using a transimpedance amplifier and gated integration, we achieve a highly linear system with coefficient of determinations of 0.9999 or better.
The stability analysis of uncertain linear systems with coefficients described by fuzzy functions is studied.
Using as models systems with coefficients in a ring and following a geometric point of view, feasible and constructing procedures are proposed for the construction of observers of increasing complexity.
For instance, if the linear system with constant coefficients associated to the nonlinear system with variable coefficients (3.39) is (3.43).
The goal of this paper is to obtain stability of uncertain systems and to estimate the difference between solutions of a 'real' system with uncertain coefficients and/or delays and corresponding 'model' system with fixed coefficients and delays.
Also when a continuous linear system with linear coefficients matrix A is periodically sampled with sampling frequency f, the resulting discrete linear coefficients are approximated as.
Note one of our results obtained for this system with constant coefficients and delays (, where and ).
The same problem was also discussed for the system with continuous coefficients without time-delay.
Now an example of Lurie system with constant coefficients is presented.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com