Computing the maximal canonical form for trees in polynomial time
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-018-0867-8
Abstract: Known algorithms computing a canonical form for trees in linear time use specialized canonical forms for trees and no canonical forms defined for all graphs. For a graph $$G=(V,E)$$G=(V,E) the maximal canonical form is obtained… read more here.
Keywords: maximal canonical; canonical forms; time; form ... See more keywords
On generalized controllability canonical form with multiple input variables
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-015-0142-8
Abstract: This paper proposes a generalized controllability canonical form for linear multi-input systems by extending the normal controllability canonical forms. It is shown that there exists appropriate similarity transformation for any non-trivial system to transform it… read more here.
Keywords: controllability canonical; generalized controllability; input; canonical form ... See more keywords
Associative CAD references in the neutral parametric canonical form
Sign Up to like & getrecommendations! Published in 2017 at "Computer-aided Design and Applications"
DOI: 10.1080/16864360.2016.1257184
Abstract: ABSTRACTDue to the multiplicity of computer-aided engineering applications used in industry, interoperability between programs has become increasingly important. A 1999 study by the National Institute for Standards and Technology (NIST) estimated that inadequate interoperability between… read more here.
Keywords: cad references; associative cad; canonical form; parametric canonical ... See more keywords
Diagonal canonical form of interval matrices and applications on dynamical systems
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DOI: 10.1088/1402-4896/acd731
Abstract: Finding the simplest form of a set of quantities is an important aspect of any branch of Mathematics. Of course, the simplest form or the canonical form as we often call it in mathematics, must… read more here.
Keywords: simplest form; form; canonical form; interval matrices ... See more keywords
A canonical form of the equation of motion of linear dynamical systems
Sign Up to like & getrecommendations! Published in 2018 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0809
Abstract: The equation of motion of a discrete linear system has the form of a second-order ordinary differential equation with three real and square coefficient matrices. It is shown that, for almost all linear systems, such… read more here.
Keywords: form equation; canonical form; equation; motion linear ... See more keywords
Prescribed-Time Control for Linear Systems in Canonical Form via Nonlinear Feedback
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2022.3194908
Abstract: For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full-state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like function, a nonlinear and time-varying state-feedback control… read more here.
Keywords: time; control; systems canonical; prescribed time ... See more keywords
Canonical Form of Reduced 3-by-3 Matrix with One Characteristic Root and with Some Zero Subdiagonal Elements
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DOI: 10.1155/2019/7646132
Abstract: A canonical form for a reduced matrix of order 3 with one characteristic root and with some zero subdiagonal elements is constructed. Thus, the problem of classification with respect to semiscalar equivalence of a selected… read more here.
Keywords: one characteristic; reduced matrix; characteristic root; canonical form ... See more keywords
Reduction to a Canonical Form of a Third-Order Polynomial Matrix with One Characteristic Root by means of Semiscalarly Equivalent Transformations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/7960987
Abstract: For the selected class of polynomial matrices of order three with one characteristic root with respect to the transformation of semiscalar equivalence, special triangular forms are established. The theorems of their uniqueness are proved. This… read more here.
Keywords: reduction canonical; order; one characteristic; characteristic root ... See more keywords