Results 11 to 20 of about 57,821 (287)
Diagonal Riccati stability and applications [PDF]
Linear Algebra and its Applications, 2016 We consider the question of diagonal Riccati stability for a pair of real matrices A, B. A necessary and sufficient condition for diagonal Riccati stability is derived and applications of this to two distinct cases are presented. We also describe some motivations for this question arising in the theory of generalised Lotka-Volterra systems.
Alexander Aleksandrov, Oliver Mason
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Diagonal Riccati stability and the Hadamard product [PDF]
Linear Algebra and its Applications, 2017 We present an extension of a recent characterisation of diagonal Riccati stability and, using this, extend a result of Kraaijevanger on diagonal Lyapunov stability to Riccati stability of time-delay systems. We also describe a class of transformations that preserve the property of being diagonally Riccati stable and apply these two results to provide ...
Alexander Aleksandrov +2 more
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On the Stability of Uniformly Asymptotically Diagonal Systems [PDF]
Mathematics of Computation, 1974 In a number of papers ([1], [2]), Delves and Mead have derived some useful (though limited) rate of convergence results which can be applied to variational approximations for the solution of linear positive definite operator equations when the coordinate system is uniformly asymptotically diagonal.
Anderssen, R. S., Omodei, B. J.
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On discrete-time diagonal and D-stability
Linear Algebra and its Applications, 1993 Defining the following discrete-time analogues of matrix stability: diagonal, simultaneous, vertex, and \(D\)-stability (the last three in terms of a certain associated polytope of matrices), the authors show that the diagonal stability of any vertex of this polytope implies its simultaneous stability and hence \(D\)-stability of the vertices.
Bhaya, Amit, Kaszkurewicz, Eugenius
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Diagonal Stability of Uncertain Interval Systems
Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics, 2015 In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order interval systems. We show that these problems are equivalent to minimax problem with polynomial goal functions. We suggest an interesting
Vakif Dzhafarov +2 more
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Journal of Machine Engineering, 2021 This article aims to study experimentally the dynamic properties and traffic safety actions for gondola cars with bogies with diagonal links, operated on the territory of the Republic of Kazakhstan.
Assel Karassayeva +6 more
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On Diagonal Stability of Positive Systems with Switches and Delays [PDF]
Автоматика и телемеханика, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Yu. Aleksandrov, Oliver Mason
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On a theorem of Redheffer concerning diagonal stability
Linear Algebra and its Applications, 2009 The authors exploit the Kalman-Yakubovich-Popov lemma to derive necessary and sufficient conditions for a matrix to be diagonally stable. The main results are employed to derive new conditions for the Hurwitz stability for special classes of matrices.
Shorten, Robert, Narendra, Kumpati S.
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Stability of solutions of linear systems with dominant main diagonal [PDF]
Proceedings of the American Mathematical Society, 1972 We establish the asymptotic stability of solutions of a first order linear system of differential equations in which the matrix characterizing the system has a dominating principal diagonal with negative entries; the domination is expressed through the condition that, numerically, each entry in the principal diagonal exceeds the sum of the absolute ...
Charles Kahane
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Characters of diagonal products and Hilbert–Schmidt stability
Transactions of the American Mathematical SocietyWe initiate a quantitative study of Hilbert–Schmidt stability for infinitely presented groups through the novel notion of stability radius growth. We exhibit an uncountable family of Hilbert–Schmidt stable amenable groups with arbitrarily large such growth. In particular, this answers a question of Lubotzky.
Dogon, Alon +2 more
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