Results 171 to 180 of about 21,050 (203)
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Computation of Compactly Supported Biorthogonal Riesz Basis of Wavelets
2014In this paper, we compute compactly supported biorthogonal Riesz basis of wavelets. We solve the Bezout equation resulting from biorthogonality of the scaling function with its dual in a simple and algebraic way. We provide some examples of the biorthogonal wavelets showing their detail construction. Two algorithms for their construction are also given.
Mahendra Kumar Jena, Manas Ranjan Mishra
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On a Riesz Basis of Finite-Dimensional Invariant Subspaces
2021This chapter is devoted to study the Riesz basis of finite-dimensional invariant subspaces for a class of unbounded perturbations of unbounded normal operators, we study the change of the spectrum and we establish the existence of a Riesz basis of finite-dimensional invariant subspaces under an additional a priori assumption on the spectrum of the ...
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Conditions for an Indefinite Sturm-Liouville Riesz Basis Property
2009We consider the Sturm-Liouville problem −y″ = λry on [−1, 1] with Dirichlet boundary conditions and with an indefinite weight function r which changes sign at 0. We discuss several conditions known to be either necessary or sufficient for the eigenfunctions to form a Riesz basis of the Hilbert space L 2,|r|(−1, 1).
Paul Binding, Andreas Fleige
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Riesz basis approach to feedback stabilization for a cantilever beam system
2017 36th Chinese Control Conference (CCC), 2017In this paper, we study the stabilization of an elastic beam system with axial force and a tip mass. The system is modeled as a Rayleigh beam equation. We propose a boundary feedback control moment to stabilize the closed-loop system. We first present the asymptotic expressions for the eigenpairs of the system and then show that the generalized ...
Jun-Min Wang, Meng-Qing Xiong, Chao Yang
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A criterion of Riesz basis property for L2 space
AIP Conference Proceedings, 2013Necessary and sufficient conditions for unconditional basis in L2 terms of the norms of the elements of these systems..
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Stabilization and Riesz basis of a star-shaped network of Timoshenko beams
Journal of Dynamical and Control Systems, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Z.-J., Xu, G.-Q.
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Riesz basis property of a hybrid system by boundary feedback control
2010 IEEE International Conference on Intelligent Computing and Intelligent Systems, 2010The purpose of this work is to study the Riesz basis generation of the well-known SCOLE model. By using Guo's conclusion that the Riesz basis property holds for the general system if its associated characteristic equation is strongly regular, it is shown that the Riesz basis property can be established for a beam equation with an endmass.
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Riesz Basis Generation of a Hybrid System with Boundary Feedback Control
2010 International Conference on Computer Application and System Modeling (ICCASM 2010), 2010In this paper, an Euler-Bernoulli equation with one end fixed and a tip mass at another end is considered. By using Guo's conclusion that the Riesz basis property holds for the general system if its associated characteristic equation is strongly regular, it is shown that the Riesz basis property can be established for the closed-loop system under ...
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Uniform Stabilization of a Hybrid System of Elasticity: Riesz Basis Approach
2016A hybrid system, composed of an elastic beam governed by an Euler-Bernoulli beam equation and a linked rigid body governed by an ordinary differential equation, is considered. This paper studies the basis property and the stability of a hybrid system when the usual linear boundary feedback is applied to the end without mass. It is shown that there is a
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RIESZ BASIS PROPERTY AND EXPONENTIAL STABILITY FOR A DAMPED SYSTEM AND CONTROLLED DYNAMICALLY
International Journal of Numerical Methods and Applications, 2022Joris, Koffi Claude Jean +3 more
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