Results 171 to 180 of about 338 (205)
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An Elementary Derivation of Kronecker Canonical Form for Linear Time-Invariant Systems
IFAC Proceedings Volumes, 1994Abstract This paper demonstrates an elementary approach to derive the canonical form of a state space representation of a finite-dimensional, linear, time-invariant system under the group of transformation consisting of a state feedback, an output injection, and nonsingular coordinate transformations of state, input and output spaces.
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Jordan–Kronecker Invariants of Semidirect Sums of the Form sl(n) + (ℝn)k and gl(n) + (ℝn)k
Journal of Mathematical Sciences, 2021We calculate Jordan–Kronecker invariants for semidirect sums of Lie algebras sl(n) and gl(n) with k copies of ℝn with respect to their standard representation for cases where k > n or n is a multiple of k.
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International Journal of Control, 1993
In an earlier paper (Part 1), a parametric state feedback time-optimal control law was devised for the regular Kronecker invariants on the basis of parametrization of the vector companion form. The present paper describes a straight-forward technique for obtaining the parametric feedback matrix by exploiting the parametric vector companion forms in the
S. M. KARBASSI, D. J. BELL
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In an earlier paper (Part 1), a parametric state feedback time-optimal control law was devised for the regular Kronecker invariants on the basis of parametrization of the vector companion form. The present paper describes a straight-forward technique for obtaining the parametric feedback matrix by exploiting the parametric vector companion forms in the
S. M. KARBASSI, D. J. BELL
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SIAM Journal on Control and Optimization, 1978
Summary:
Martin, Clyde, Hermann, Robert
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Summary:
Martin, Clyde, Hermann, Robert
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Lobachevskii Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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IFAC Proceedings Volumes, 1987
Abstract For a general matrix pencil sF-G with Ф(F,G) root range, the set Ω(F,G)={Cr (F,G); Cl(F,G); J r α ; α∊Ф(F,G)} of characteristic sequences is defined and it is shown to be a complete set of invariants for matrix pencils under strict equivalence.
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Abstract For a general matrix pencil sF-G with Ф(F,G) root range, the set Ω(F,G)={Cr (F,G); Cl(F,G); J r α ; α∊Ф(F,G)} of characteristic sequences is defined and it is shown to be a complete set of invariants for matrix pencils under strict equivalence.
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Jordan–Kronecker Invariants for Lie Algebras of Small Dimensions
Journal of Mathematical Sciences, 2023openaire +1 more source
Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Mathematical Proceedings of the Cambridge Philosophical Society, 1925
The following paper is in two parts.In Part 1 it is shown that Kronecker's theorem can be extended in the formIf is greater than ηfor all sets of integers l1, l2, … l3 less in absolute value than K/σ and not all zero, l also being an integer, then, for any x1, x2 … x3, an integer q less than l/(ησ8) can be found such that qv1–x1, qv2–x2…qv3–x4 all ...
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The following paper is in two parts.In Part 1 it is shown that Kronecker's theorem can be extended in the formIf is greater than ηfor all sets of integers l1, l2, … l3 less in absolute value than K/σ and not all zero, l also being an integer, then, for any x1, x2 … x3, an integer q less than l/(ησ8) can be found such that qv1–x1, qv2–x2…qv3–x4 all ...
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Coherence Invariant Mappings on Kronecker Products
American Journal of Mathematics, 1955openaire +1 more source