Results 251 to 260 of about 311,780 (287)

Polynomial Stability and Polynomial Instability for Skew-Evolution Semiflows

Results in Mathematics, 2019
Let \(\mathbb{X}\) be a Banach space and let \(T:=\{(t,s):t\geq s\geq0\}\). Let \(\mathcal{M}\) be a metric space. Consider a skew-evolution semiflow \((\Phi,\zeta)\), where \(\zeta:T\times\mathcal{M}\to\mathcal{M}\) and \(\Phi:T\times\mathcal{M}\to \mathcal{L}(\mathbb{X})\).
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Robust Schur stability of interval polynomials

IEEE Transactions on Automatic Control, 1992
The investigation of Schur stability using a Kharitonov parameter box is discussed. The discrete counterpart of Kharitonov's theorem is obtained. The solution is based on the use of the Hollot-Bartlett-Huang theorem and the Hollott-Bartlett theorem. This made it possible to test for Schur stability only a subset of the edges.
F. Kraus, M. Mansour, E.I. Jury
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Stability of Polynomial Systems via Polynomial Lyapunov Functions

2007 Chinese Control Conference, 2006
The stability of a class of polynomial systems is investigated by constructing a polynomial Lyapunov function. The key technique is to convert the polynomial Lyapunov candidate and it derivative into formal quadratic forms and to test their positivity and negativity respectively.
Qi Hongsheng, Cheng Daizhan
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Stability and robust stability of multivariate polynomials

Proceedings of the 36th IEEE Conference on Decision and Control, 2002
An 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, J.A. Torre Munoz, M.I. Ramirez-Susa M   +2 more
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Global stability and stabilization of polynomial systems

2007 46th IEEE Conference on Decision and Control, 2007
The problem of global stability and stabilization of polynomial systems is considered. Using semi-tensor product of matrices, an easily verifiable sufficient condition for the positivity of multi-variable polynomials is proposed. Assume a candidate of Lyapunov function is a polynomial, the above result provides a sufficient condition for the global ...
null Daizhan Cheng, null Hongsheng Qi
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Robust Stability of Polynomials and Quasipolynomials Under Polynomial Perturbations

IFAC Proceedings Volumes, 1997
Abstract In this paper some new results about stability analysis of special classes of polynomial and quasipolynomial families are presented. These families appears in stability analysis of single type control systems.
V.V. Arhipov, V.L. Kharitonov, A.P. Zhabko   +2 more
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Polynomial stabilization of magnetoelastic plates

IMA Journal of Applied Mathematics, 2012
Summary: In this paper, we study the polynomial stabilization for a system of magnetoelastic plates. Linear and nonlinear models are considered. The polynomial stability is obtained by means of a new multiplier given by a first-order hyperbolic problem.
Ma, To Fu, Muñoz Rivera, Jaime Edilberto, Oquendo, Higidio Portillo, Suárez, Fredy Maglorio Sobrado   +3 more
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Schur stability of interval polynomials

IEEE Transactions on Automatic Control, 1993
Summary: We present a result for checking the Schur stability of interval polynomials. In particular, we are interested in the number of critical vertex and edge polynomials that are sufficient for inferring robust Schur stability.
Foo, Y. K., Soh, Y. C.
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Robust Stability of Polynomials: New Approach

Journal of Optimization Theory and Applications, 1997
The author claims he solves in an easy manner a very important problem for robust stability, i.e. how to find the polynomial coefficients domain such that the polynomials remain Hurwitzians. It should be, however, mentioned that the author mishandles the terminology calling the Schur polynomial a Hurwitz one which may lead to the reader's confusion ...
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Stability criteria of matrix polynomials

International Journal of Control, 2018
ABSTRACTIn this paper, the stability of matrix polynomials is investigated. First, upper and lower bounds are derived for the eigenvalues of a matrix polynomial.
Guang-Da Hu, Xiulin Hu
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