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Weakly Structural Stability of Cubic Homogeneous Parameterized Vector Fields

✍ Scribed by Kamal H. Yasir; Yun Tang

Book ID
111703687
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
85 KB
Volume
250
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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In this paper, we deal with the stabilizability of homogeneous polynomials of degree three by means of homogeneous feedbacks of degree two. Keywords-Homogeneous polynomials of degree three, Nonlinear systems, Homogeneous feedbacks of degree two, Stabilizability.

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Let H m be the space of planar homogeneous polynomial vector fields of degree m endowed with the coefficient topology. We characterize the set 0 m of the vector fields of H m that are structurally stable with respect to perturbations in H m and we determine the exact number of the topological equiva