Results 241 to 250 of about 311,780 (287)

Stability and stabilization of polynomial dynamical systems using Bernstein polynomials

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control, 2015
In this work, we examine relaxations for the stability analysis and synthesis of stabilizing controllers for polynomial dynamical systems. It is well-known that such problems can be naturally solved using a reduction to polynomial optimization problems.
Mohamed Amin Ben Sassi, Sriram Sankaranarayanan   +1 more
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D-stability of polynomial matrices

International Journal of Control, 2001
Necessary and sufficient conditions are formulated for the zeros of an arbitrary polynomial matrix to belong to a given region D of the complex plane. The conditions stem from a general optimization methodology mixing quadratic and semidefinite programming, LFRs and rank-one LMIs.
Henrion, Didier, Bachelier, Olivier, Sebek, Mickael   +2 more
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Robust Schur Stability of Polynomials with Polynomial Parameter Dependency

Multidimensional Systems and Signal Processing, 1999
Robust Schur stability verification for polynomials with coefficients depending polynomially on parameters varying in given intervals is considered. A new algorithm is presented based on the expansion of a multivariate polynomial into Bernstein polynomials and the decomposition of the family of polynomials into its symmetric and its antisymmetric part.
Garloff, Jürgen, Graf, Birgit
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Sufficient Stability Conditions for Polynomial Systems

International Applied Mechanics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martynyuk, A. A., Chernienko, V. A.
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Optimal stability polynomials

Computing, 1972
Stability Polynomials characterize the propagation behaviour of the error vectors associated with the numerical solution of differential equations. It is desirable that these polynomials extend as far as possible along the negativex-axis in a strip of width 2.
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Stabilization via orthogonal polynomials

2017 IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC), 2017
Let n be the dimension of the Brunovsky system. For n = 2m (respectively n = 2m + 1), we prove that every positive distribution on [0, ∞) that has at least n/2 points of increase on (0, ∞), (respectively (n + 1)/2 points of increase on [0, ∞) generates a positional control that stabilizes a family of Brunovsky systems of dimensions 1 ≤ k ≤ n.
Abdon E. Choque-Rivero, Omar Fabian Gonzalez Hernandez   +1 more
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Stability of polynomial matrices

IEEE Transactions on Automatic Control, 1987
A necessary and sufficient condition for the stability of a polynomial matrix in terms of the eigenvalues of a composite matrix is presented. The theorem is significant from the viewpoint of applicability, since standard computer code is available for this test.
Wang, Qing-Guo, Zhou, Chun-Hui, Sun, You-Xian   +2 more
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Stability of matrix polynomials†

International Journal of Control, 1977
Abstract The paper considers the following question : Given a square, non-singular polynomial matrix C(s)how do we check, without evaluating the determinant, whether all the zeros of det C(s) are in the open left-half plane ? The approach used to answer this question is to derive from c(s) a rational transfer function matrix which is lossless positive ...
BRIAN D. O. ANDERSON, ROBERT R. BITMEAD
openaire   +1 more source

Structural Stability of Constrained Polynomial Systems

Bulletin of the London Mathematical Society, 1998
The authors deal with differential systems of the form \[ a(x,y)x'+b(x,y)y'=f(x,y),\quad c(x,y)x' +d(x,y)y'=g(x,y), \] where \(a,\;b,\;c,\;d,\;f,\;g\) are polynomial functions. These systems differ from ordinary differential equations at impasse points defined by \(ad-bc=0\).
Llibre, Jaume, Sotomayor, Jorge
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Structural Stability of Planar Polynomial Foliations

Journal of Dynamics and Differential Equations, 2005
Consider the space \(F_n\) of planar polynomial vector fields of degree \(n\) without finite rest points with the coefficient topology. A field \(X\in F_n\) is called structurally stable if for any \(Y\in F_n\) close enough to \(X\), the corresponding associated Poincaré vector fields \(\pi(X)\) and \(\pi(Y)\) on the two-dimensional sphere are ...
Jarque, Xavier, Llibre, Jaume, Shafer, Douglas S.   +2 more
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