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A criterion for structural stability of quadruples of matrices defining generalized dynamical systems

✍ Scribed by M.Isabel Garcı́a-Planas; M.Dolors Magret

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
111 KB
Volume
41
Category
Article
ISSN
0167-6911

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✦ Synopsis

A characterization in terms of the rank of a matrix is proved for structurally stable quadruples related to generalized dynamical systems E(t) ẋ(t)=A(t)x(t)+B(t)u(t); y(t)=C(t)x(t) under a local equivalence relation by realizing a geometric approach.

📜 SIMILAR VOLUMES

A criterion for unitary similarity of up
A criterion for unitary similarity of upper triangular matrices in general position
✍ Douglas Farenick; Vyacheslav Futorny; Tatiana G. Gerasimova; Vladimir V. Sergeic 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 269 KB

Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A = [a ij ] and B = [b ij ] be upper triangular n × n matrices that • are not similar to direct sums of square matrices of smaller sizes, or • are in general position an