3 results for “Orthogonality Relations”

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Research ArticleOpen accessIn the keywordsPartial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed SystemEhab A. El-Sayed, Eid E. El BehadyThis paper introduces a solution to the partial eigenvalues assignment problem of high order linear systems with time delayed system in both single-input and multi-input cases using orthogonality relations between eigenvectors of the matrix polynomial. The solution requires the knowledge of only a few eigenvalues and with corresponding left eigenvectors of matrix polynomial. The numerical examples are done to illustrate … …American Journal of Applied Sciences, Vol. 13, Issue 9 · 29 Sep 2016 · 7,003 accessesView PDF Cite

Research ArticleOpen accessIn the abstractBirkhoff Orthogonality and Different Particular Cases of Carlsson's Orthogonality on Normed Linear SpacesPrakash Muni Bajracharya, Bhuwan Prasad OjhaLet x, y ∈ X, where X is an inner-product space. We say x is orthogonal to y if ⟨x, y⟩ = 0. When we move to general normed spaces there are many possibilities of extending the notion of orthogonality. Since 1934, different types of orthogonality relations in normed spaces have been introduced and studied. In this study, we enlist … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 22 Jul 2020 · 6,271 accessesView PDF Cite

Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDF Cite