Results 11 to 20 of about 359 (49)
, 2010 This paper studies behaviors that are defined on a torus, or equivalently, behaviors defined in spaces of periodic functions, and establishes their basic properties analogous to classical results of Malgrange, Palamodov, Oberst et al.
Napp, Diego +2 more
core +14 more sources
Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution [PDF]
, 2016 We prove that for-linear, discrete, time-varying, deterministic system (perfect-model) with noisy outputs, the Riccati transformation in the Kalman filter asymptotically bounds the rank of the forecast and the analysis error covariance matrices to be ...
Alberto Carrassi +11 more
core +2 more sources
Computational and Mathematical Methods in Medicine, Volume 10, Issue 4, Page 273-285, 2009., 2009 High frequency stimulation (HFS) has been used to treat various neurological and psychiatric diseases. Although further disorders are under investigation to extend the clinical application of HFS, the complex effect of HFS within a neuronal network is still unknown.
L. Ramrath +5 more
wiley +1 more source
On the uniform exponential stability of linear time‐delay systems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3445-3467, 2004., 2004 This paper deals with the global uniform exponential stability independent of delay of time‐delay linear and time‐invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay‐free system as well as an
M. de la Sen, Ningsu Luo
wiley +1 more source
Stability analysis of periodically switched linear systems using Floquet theory
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 1-10, 2004., 2004 Stability of a switched system that consists of a set of linear time invariant subsystems and a periodic switching rule is investigated. Based on the Floquet theory, necessary and sufficient conditions are given for exponential stability. It is shown that there exists a slow switching rule that achieves exponential stability if at least one of these ...
Cevat Gökçek
wiley +1 more source
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
, 2020 When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue method, one should make sure that the computed spectrum satisfies the ...
Mehrmann, Volker, Van Dooren, Paul
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Robust control of discrete‐time hybrid systems with uncertain modal dynamics
Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 197-208, 2004., 2004 We study systems that are subject to sudden structural changes due to either changes in the operational mode of the system or failure. We consider linear dynamicalsystems that depend on a modal variable which is either modeled as a finite‐state Markov chain or generated by an automaton that is subject to an external disturbance.
Thordur Runolfsson
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 8, Page 463-475, 2002., 2002 In the introductory part of this paper the so‐called general Bromwich-Wagner′s theorem has been generalized. Throughout the main part of the paper, an attempt has been made to derive conditions for convergence of the fundamental matrix of linear time‐invariant time‐delayed singular systems.
Branko Saric
wiley +1 more source
On the finite Fourier transforms of functions with infinite discontinuities
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 5, Page 301-317, 2002., 2002 The introductory part of the paper is provided to give a brief review of the stability theory of a matrix pencil for discrete linear time‐invariant singular control systems, based on the causal relationship between Jordan′s theorem from the theory of Fourier series and Laurent′s theorem from the calculus of residues. The main part is concerned with the
Branko Saric
wiley +1 more source
A semigroup characterization of well-posed linear control systems [PDF]
, 2013 We study the well-posedness of a linear control system $\Sigma(A,B,C,D)$ with unbounded control and observation operators. To this end we associate to our system an operator matrix $\mathcal{A}$ on a product space $\mathcal{X}^p$ and call it $p$-well ...
Bombieri, Miriam, Engel, Klaus-Jochen
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