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On Assignment of the Upper Bohl Exponent for Linear Time-Invariant Control Systems in a Hilbert Space by State Feedback

Vasilii Zaitsev, Marina Zhuravleva
2020 Mathematics  
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

Vu Hoang Linh, Volker Mehrmann
2009 Journal of Dynamics and Differential Equations  
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  
., +, 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  
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

Christian Pötzsche
2009 Communications on Pure and Applied Analysis  
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]

Vlada Limic, Nedžad Limić
2018 arXiv   pre-print
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

Cristina Mollica, Lea Petrella
2016 Journal of Applied Statistics  
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

Christian Bjerrum‐Niese, Leif Bjo/rno/
1995 Journal of the Acoustical Society of America  
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

Amanda Folsom
2019 Notices of the American Mathematical Society  
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]

Sang-hyun Kim, Thomas Koberda
2021 arXiv   pre-print
We concentrate on the case of onedimensional 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]

Sabin Tabirca, Tatiana Tabirca
2003 Zenodo  
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

Chrizaldy Neil C. Manibo
2019
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

Chris Kowall
2021
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

Ana Colubi, Erricos Kontoghiorghes, Marc Levene, Bernard Rachet, Herman Van, Dijk, Veronika Czellar, Hashem Pesaran, Mike Pitt, Stefan Sperlich, Knut Aastveit, Alessandra Amendola (+81 others)
unpublished
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

Florian Blöchl
2011
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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