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On Assignment of the Upper Bohl Exponent for Linear Time-Invariant Control Systems in a Hilbert Space by State Feedback
2020
Mathematics
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We study the problem of arbitrary assignment for the upper Bohl exponent by state feedback control. ...
We prove that if the open-loop system is exactly controllable then one can shift the upper Bohl exponent of the closed-loop system by any pregiven number with respect to the upper Bohl exponent of the ...
In this paper, we studied the problem of arbitrary assignment of the upper Bohl exponent for continuous-time systems in an infinite-dimensional Hilbert space. ...
doi:10.3390/math8060992
fatcat:6dixrblfzvglbitmbgct6ye3hu
Lyapunov, Bohl and Sacker-Sell Spectral Intervals for Differential-Algebraic Equations
2009
Journal of Dynamics and Differential Equations
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By using orthogonal changes of variables, the original DAE system is transformed into appropriate condensed forms, for which concepts such as Lyapunov exponents, Bohl exponents, exponential dichotomy and ...
spectral intervals of various kinds can be analyzed via the resulting underlying ODE. ...
Ilchmann for providing a copy of the original paper of Bohl. ...
doi:10.1007/s10884-009-9128-7
fatcat:44pkz4tdhjd7hd3netd5z5tmli
2019 Index IEEE Transactions on Automatic Control Vol. 64
2019
IEEE Transactions on Automatic Control
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., +, TAC May 2019 2182-2189 Physics On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems. ...
., +, TAC Dec. 2019 5024-5038 Control theory On Lyapunov and Upper Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems. ...
doi:10.1109/tac.2020.2967132
fatcat:o2hd2t4jz5fbpkcemjt5aj7xrm
Author index for volumes 101–200
1994
Linear Algebra and its Applications
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L.: 172
HARA, SHINJI and SUNG, HAK-KYUNG: Con-
straints
on Sensitivity
Characteristics
in
Linear Multivariable
Discrete-Time
Con-
trol Systems: 122/123/1! ...
Y. and REICI~EL, L.: Krylov-Subspace
Methods
for the Sylvester
Equation,
172:283-313
(1992)
Hu, HUI and WANG, QING: On Approximate
Solutions of Infinite Systems of Linear In-
equalities, 114/115 ...
doi:10.1016/0024-3795(94)90034-5
fatcat:hzg26cnm7jbsbidzyaostwhkbq
Nonautonomous continuation of bounded solutions
2009
Communications on Pure and Applied Analysis
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Our functional-analytical approach is based on a formulation of dynamical systems as operator equations in ambient sequence or function spaces. ...
As an ad hoc application, the behavior of hyperbolic solutions and stable manifolds for ODEs under numerical discretization with varying step-sizes is studied. ...
For scalar difference equa- tions x k+1 = a k x k with coefficients a k ∈ R \ {0} satisfying sup k∈Z |a k | , a −1 k < ∞, the dichotomy spectrum is related to lower and upper Bohl exponent β − = lim j→ ...
doi:10.3934/cpaa.2011.10.937
fatcat:h6tdvxdgdvc7tkgvchd3ht4thm
Equidistribution, Uniform distribution: a probabilist's perspective
[article]
2018
arXiv
pre-print
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One purpose of this note is to provide a short introduction for probabilists. We proceed by recalling a perspective originating in a work of the second author from 2002. ...
The translation from number theory to probability language brings into focus a version of the strong law of large numbers for weakly correlated complex-valued random variables, the study of which was initiated ...
We are both grateful to Christoph Aistleitner for detailed reading of the original preprint, and a number of valuable comments and suggestions. ...
arXiv:1610.02368v2
fatcat:hhsc2onp3ffyzoas6ulvqkfmfu
Bayesian binary quantile regression for the analysis of Bachelor-to-Master transition
2016
Journal of Applied Statistics
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The working group (WG) CMStatistics comprises a number of specialized teams in various research areas of computational and methodological statistics. ...
The teams act autonomously within the framework of the WG in order to promote their own research agenda. Their activities are endorsed by the WG. ...
exponent for one-dimensional discrete dynamical systems. ...
doi:10.1080/02664763.2016.1263835
fatcat:l5eyielgxrct7hq5ljqeej5ccy
A coupled bispectral, temporal and spatial coherence function of the pressure field, scattered from a moving sea surface
1995
Journal of the Acoustical Society of America
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The Chairs of the U.S. Technical Advisory Groups for ISO/TC 43 (P. D. Schomer), IEC/TC 29 (V. Nedzelnitsky), and ISO/'rc 108/SC4 (H. ...
Working group chairs will report on their preparation of standards on methods of measurement and testing, and terminology, in physical acoustics, electro-acoustics, sonics, ultrasonics, and underwater ...
This denotes the space-time locality of the damping system. ...
doi:10.1121/1.414267
fatcat:gtdrkztuvfbova3a4rdj2f7umu
Symmetry, Almost
2019
Notices of the American Mathematical Society
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The AMS is not responsible for rate changes or for the quality of the accommodations. Hotels have varying cancellation and early checkout penalties; be sure to ask for details. ...
Accommodations Participants should make their own arrangements directly with the hotel of their choice. Special discounted rates were negotiated with the hotels listed below. ...
time use to overcome what we today call the "curse of dimensionality," the often exponential increase in difficulty in analyzing problems in high dimensional spaces. ...
doi:10.1090/noti1775
fatcat:xwrijzvqazg7bdym7un5qq2jjq
Structure and regularity of group actions on one-manifolds
[article]
2021
arXiv
pre-print
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We concentrate on the case of one–dimensional manifolds, culminating with a uniform construction of finitely generated groups acting with prescribed regularity on the compact interval and on the circle ...
In this monograph, we give an account of the relationship between the algebraic structure of finitely generated and countable groups and the regularity with which they act on manifolds. ...
The authors are especially grateful to Andrés Navas for his inspiring book and pioneering works in the direction of this work. ...
arXiv:2106.15532v1
fatcat:g4l3cv4f4bdtdpfdj6lvcgpaye
Smarandache Function Journal, 14
[article]
2003
Zenodo
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This journal is yearly published (in the Spring or Fall) in a 300-400 pages volume, and 800-1000 copies. ...
SNJ is a referred journal: reviewed, indexed, cited, concerning any of Smarandache type functions, numbers, sequences, integer algorithms, paradoxes, Non-Euclidean geometries, etc. ...
The arguments presented here hold in any s-manifold, except for the parts depending on there being a [mite,number of triangles. ...
doi:10.5281/zenodo.8973
fatcat:s3mrdjhufnfx7o5er4bwf6ukrm
Lyapunov Exponents in the Spectral Theory of Primitive Inflation Systems
2019
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Using tools from the theory of Lyapunov exponents, we provide a sufficient criterion to rule out the presence of absolutely continuous components in the diffraction and a necessary condition to have a ...
We show that this holds for large classes of systems, and, as a sanity check, show that the necessary criterion for existence is satisfied by systems which are a priori known to have absolutely continuous ...
As in the one-dimensional examples, this upper bound can be calculated numerically up to a certain level of precision. ...
doi:10.4119/unibi/2935972
fatcat:nfzju7dagzemdn3pkrra3frcji
Uniform Shadow Limit Reduction for Reaction-Diffusion-ODE Systems
2021
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The method is based on previous results for short-time intervals which use a cut-off technique applied to the system linearized at the shadow solution. ...
The partial lack of diffusion implies low regularity in space of solutions to both systems. Hence, mild solutions are considered in this work. ...
Nevertheless, using Bohl exponents as in [14, Corollary 4.2] for the subsystem of u, we obtain exponential stability of the corresponding evolution system U for some exponent η > 0. ...
doi:10.11588/heidok.00029893
fatcat:xcdycds3jffddictjhqftlp5pm
CFE-CMStatistics 2017 PROGRAMME AND ABSTRACTS 11th International Conference on Computational and Methodological Statistics (CMStatistics 2017) CMStatistics 2017 Co-chairs: CMStatistics 2017 Programme Committee
unpublished
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Caballero-Aguila, Josefa Linares-Perez A quadratic filtering algorithm in linear discrete-time stochastic systems with random parameter matrices is designed. ...
efficient Markov chain Monte Carlo (MCMC) algorithms in discrete spaces. ...
In passing, some new results are presented on the aliasing identification problem and on the derivation of the exact discrete analog of certain, more general continuous time stochastic models. ...
fatcat:b6vjhxhuwvapnlla6r3etpiwb4
Integrating machine learning approaches into network science: exemplary applications and novel algorithms
2011
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Following the trend beyond the well studied standard graphs in the network field, chapter 2 focuses on network analysis in the presence of self-loops. ...
For given topology the system's dynamics are determined by an interplay of the single parameters. ...
By glueing the parameter space of 3.3(D) to the one of 3.3(C) and 3.3(E), respectively, along one dimension, we obtain the three dimensional parameter spaces with the one-codimensional effective parameters ...
doi:10.5283/epub.19912
fatcat:okqzgwr55rf3holbrrdomrdixe
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