ANA 发表于 2025-3-23 10:23:51
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The Hurwitz Matrix and the Computation of second-order Information Indicesrder information indices) of .(.) = ..{.(.)} and of its first . — 1 derivatives. These can be obtained by solving a set of linear equations whose coefficients matrix is the standard Hurwitz matrix for .(.) or by using the entries of its Routh table. Any strictly proper transfer function .(.) = .(.)/Physiatrist 发表于 2025-3-23 20:56:09
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A Generalization of the Orlando Formula — Symbolic Manipulation Approachre presented. This research is motivated by a new method for calculation of a generalized integral criterion with the integrand function being an arbitrary polynomial of the transient error..The well known Orlando formula establishes the useful relation between the Hurwitz determinants and the polynExplicate 发表于 2025-3-24 09:25:35
From J.J. Sylvester to Adolf Hurwitz: A Historical Review77), Lyapunov (1892), and Hurwitz (1895) — which affected research on stability in the twentieth century is mentioned..Based on the work of Sylvester (1840), the connection between the Hurwitz criterion and resultants is established. This leads to a derivation of the generalized and specialized Orlageneric 发表于 2025-3-24 12:52:24
Hurwitz Matrix for Polynomial Matricestz matrix .. Also the critical stability conditions are determined by its determinant det ...The aim of this paper is to get a generalized Hurwitz matrix for polynomial matrices. In order to achieve that, we first obtain a relation between the Hurwiz matrix for a polynomial and the Lyapunov equation懦夫 发表于 2025-3-24 18:46:12
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General Classes of Control-Lyapunov Functionsthe existence of continuous control-Lyapunov functions (CLF’s) defined by means of generalized derivatives. In this manner, one obtains a complete characterization of asymptotic controllability, applying in principle to a far wider class of systems than Artstein’s Theorem (which relates closed-loop易发怒 发表于 2025-3-25 00:31:25
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