Results 261 to 270 of about 2,551,252 (290)
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On the stability of a segment of polynomials
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994The present article derives, for two stable polynomials of the same degree, a set of necessary and sufficient conditions, in the frequency domain, under which the line segment joining the two given polynomials is stable. The results work for polynomials with complex coefficients as well, while the stability of a convex combination of two polynomials ...
Bollepalli, B. S., Pujara, L. R.
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Stability and robust stability of multivariate polynomials
Proceedings of the 36th IEEE Conference on Decision and Control, 2002An attempt is made towards selection of a class of multivariate polynomials which has the property that polynomials front this class preserve stability in the presence of small coefficient variations. Some basic properties of these polynomials are also derived.
V.L. Kharitonov +2 more
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Orthogonal polynomials, Padé approximations and A-stability
Numerical Algorithms, 1996A new proof is given for the classical result by \textit{B. L. Ehle} [SIAM J. Math. Anal. 4, 671-680 (1973; Zbl 0266.65018)] that the diagonal and the first two subdiagonal Padé approximations to the exponential function are \(A\)-acceptable. The proof is based on homotopy arguments and proceeds by induction.
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On the Stability of Polynomial Equations
2011In this article we prove the Hyers–Ulam type stability for the following two equations with real coefficients: $${a}_{n}{x}^{n} + {a}_{ n-1}{x}^{n-1} + \cdots + {a}_{ 1}x + {a}_{0} = 0\quad \mbox{ and }\quad {e}^{x} + \alpha x + \beta = 0$$ on a real interval [a, b]. More precisely, we show that if x is an approximate solution of the equation \({
Abbas Najati, Themistocles M. Rassias
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam
exaly
On the stability of parametric polynomials
International Journal of ControlAristotelis Yannakoudakis +1 more
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A note on interval–polynomial stability
IMA Journal of Mathematical Control and Information, 1994Xie, Xu-Kai, Nie, Yi-Yong
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