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Relevant bibliographies by topics / Problème spectral de Nevanlinna-Pick

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Academic literature on the topic 'Problème spectral de Nevanlinna-Pick'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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Journal articles on the topic "Problème spectral de Nevanlinna-Pick"

1

Nikolov, Nikolai, Peter Pflug, and Pascal J. Thomas. "Spectral Nevanlinna-Pick and Caratheodory-Fejer problems for $n\geq3$." Indiana University Mathematics Journal 60, no. 3 (2011): 883–94. http://dx.doi.org/10.1512/iumj.2011.60.4310.

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Costara, Constantin. "On the spectral Nevanlinna–Pick problem." Studia Mathematica 170, no. 1 (2005): 23–55. http://dx.doi.org/10.4064/sm170-1-2.

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Georgiou, Tryphon T., and Pramod P. Khargonekar. "Spectral Factorization and Nevanlinna–Pick Interpolation." SIAM Journal on Control and Optimization 25, no. 3 (May 1987): 754–66. http://dx.doi.org/10.1137/0325043.

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Bercovici, Hari, Ciprian Foias, and Allen Tannenbaum. "On spectral tangential Nevanlinna-Pick interpolation." Journal of Mathematical Analysis and Applications 155, no. 1 (February 1991): 156–76. http://dx.doi.org/10.1016/0022-247x(91)90033-v.

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Agler, J., and N. J. Young. "The two-point spectral Nevanlinna-Pick problem." Integral Equations and Operator Theory 37, no. 4 (December 2000): 375–85. http://dx.doi.org/10.1007/bf01192826.

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Agler, Jim, and N. J. Young. "The two-by-two spectral Nevanlinna-Pick problem." Transactions of the American Mathematical Society 356, no. 2 (September 22, 2003): 573–85. http://dx.doi.org/10.1090/s0002-9947-03-03083-6.

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COSTARA, CONSTANTIN. "THE $2\times 2$ SPECTRAL NEVANLINNA–PICK PROBLEM." Journal of the London Mathematical Society 71, no. 03 (May 24, 2005): 684–702. http://dx.doi.org/10.1112/s002461070500640x.

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Baribeau, Line, and Adama S. Kamara. "A Refined Schwarz Lemma for the Spectral Nevanlinna-Pick Problem." Complex Analysis and Operator Theory 8, no. 2 (May 16, 2013): 529–36. http://dx.doi.org/10.1007/s11785-013-0306-6.

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Liu, Bin, Chang-Hong Wang, Wei Li, and Zhuo Li. "Robust Controller Design Using the Nevanlinna-Pick Interpolation in Gyro Stabilized Pod." Discrete Dynamics in Nature and Society 2010 (2010): 1–16. http://dx.doi.org/10.1155/2010/569850.

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The sensitivity minimization of feedback system is solved based on the theory of Nevanlinna-Pick interpolation with degree constraint without using weighting functions. More details of the dynamic characteristic of second-order system investigated, which is determined by the location of spectral zeroes, the upper boundγofS, the length of the spectral radius and the additional interpolation constraints. And the guidelines on how to tune the design parameters are provided. Gyro stabilized pod as a typical tracking system is studied, which is based on the typical structure of two-axis and four-frame. The robust controller is designed based on Nevanlinna-Pick interpolation with degree constraint. When both friction of LuGre model and disturbance exist, the closed-loop system has stronger disturbance rejection ability and high tracking precision. Numerical examples illustrate the potential of the method in designing robust controllers with relatively low degrees.

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10

Pruckner, Raphael, and Harald Woracek. "Estimates for the order of Nevanlinna matrices and a Berezanskii-type theorem." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 6 (January 26, 2019): 1637–61. http://dx.doi.org/10.1017/prm.2018.56.

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AbstractWe give an upper estimate for the order of the entire functions in the Nevanlinna parameterization of the solutions of an indeterminate Hamburger moment problem. Under a regularity condition this estimate becomes explicit and takes the form of a convergence exponent. Proofs are based on transformations of canonical systems and I.S.Kac' formula for the spectral asymptotics of a string. Combining with a lower estimate from previous work, we obtain a class of moment problems for which order can be computed. This generalizes a theorem of Yu.M.Berezanskii about spectral asymptotics of a Jacobi matrix (in the case that order is ⩽ 1/2).

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Dissertations / Theses on the topic "Problème spectral de Nevanlinna-Pick"

1

Rivard, Patrice. "Un lemme de Schwartz-Pick à points multiples." Master's thesis, Université Laval, 2007. http://hdl.handle.net/20.500.11794/19410.

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Beaulieu, Marie-Ailan. "Problèmes de Schwarz-Pick sur le bidisque symétrisé." Master's thesis, Université Laval, 2015. http://hdl.handle.net/20.500.11794/26203.

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Tableau d’honneur de la Faculté des études supérieures et postdoctorales, 2015-2016
Les systèmes de Schwarz-Pick sont de puissants outils qui permettent d'enrichir l'étude de la géométrie des domaines de l'espace à plusieurs variables complexes. Plus particulièrement, les pseudodistances de Carathéodory et de Kobayashi forment respectivement le plus grand et le plus petit système. L'objet de cet ouvrage consiste à regrouper et synthétiser les recherches autour du calcul de ces pseudodistances sur le bidisque symétrisé. Il s'agit d'un domaine de l'espace à deux variables complexes qui possède une géométrie riche et qui joue un rôle clé dans la résolution du problème de Nevanlinna-Pick spectral. Sur le bidisque symétrisé, il est possible de calculer explicitement la pseudodistance de Carathéodory par le biais de la théorie des opérateurs. Le calcul de la pseudodistance de Kobayashi, se fera elle à travers un problème d'interpolation du disque unité avec des valeurs cibles dans le bidisque symétrisé, résolu à l'aide du théorème de Nevanlinna-Pick classique.

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Karlsson, Johan. "Inverse Problems in Analytic Interpolation for Robust Control and Spectral Estimation." Doctoral thesis, Stockholm : Matematik, Mathematics, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9248.

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Blomqvist, Anders. "A convex optimization approach to complexity constrained analytic interpolation with applications to ARMA estimation and robust control." Doctoral thesis, Stockholm, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-117.

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5

Tseng, WanFang, and 曾婉芳. "Minimal Realization for Two-Point Spectral Nevanlinna-Pick Problem." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/67148190034034596953.

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碩士
東海大學
數學系
91
Abstract Consider symmetrized bidisc int and spectral Nevanlinna-Pick Interpolation non-flat problem on it as: is an analytic such that and then is an analytic function defined on into and exist A.B.C.D matrix such that is called a realization of . In this paper,we want to find the lower order of the realization. In fact , is a matrix. Change to become In other words keywords:symmetrizrd bidisc,spectral Nevanlinna-Pick problem realization, -extremal

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Lin, Chun-Ming, and 林俊銘. "Realization of Spectral Nevanlinna-Pick Interpolation Problem on Symmetrized Bidisc." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/40559244736778567050.

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碩士
東海大學
數學系
91
In this paper we discuss the two-point spectral Nevanlinna-Pick interpolation problem for 2 2 general case by using the previous results of T.D.Lin[13], C.T.Lin[8] and Yeh[9]: Given distinct ，，， ,find an analytic function such that and it's realization.

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Rivard, Patrice. "Un lemme de Schwartz-Pick à points multiples /." 2007. http://www.theses.ulaval.ca/2007/24845/24845.pdf.

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Chen, Po-Jen, and 陳柏仁. "The Gamma(Γ)2-inner Solution of Three-point Spectral Nevanlinna-Pick Interpolation Problem:2x2case." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/16327064924593773842.

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碩士
東海大學
數學系
94
The spectral Nevanlinna-Pick interpolation theory is the main tool to setup the define theory for Mu-synthesis theory for robust controller design and is still under development. For 2x2 case only the solutions with 2 interpolating points is solved. In present thesis, we study how to construct the solutions corresponding to the 3 in-terpolating points with 3 cases on the symmetrized bidisc. Furthermore, the idea to solve interpolating points is also discussed.

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9

Yang, Yu-Lung, and 楊玉龍. "Spectral versus Classical Nevanlinna-Pick Interpolation Functions." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/12930661066116662652.

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碩士
東海大學
數學系
96
Because The classical Nevanlinna-Pick Theorem plays a very important role in the robust control theory, we like to introduce three worth-reading proofs of the theorem. Furthermore we will develop into the area of spectral Nevanlinna-Pick problem: discuss some interpolation problems and properties on the symmetrized-bidisc , and calculate the volume and surface area of symmetrized-bidisc and symmetrized-tridisc, and gives the general integral form to represent the volume of symmetrized-n-disc.

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Lin, Tien-De, and 林天得. "Spectral Nevanlinna-Pick Interpolation On Symmetrized Bidisc." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/94495204389019542431.

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碩士
東海大學
數學系
89
Consider symmetrized bidisc $\Gamma_{2}$:% $$\Gamma_{2}\triangleq \{(s,p):\lambda^{2}-s\lambda+p=0,~\lambda \in \mathbb{C},~|\lambda|\leq1\}$$% and spectral Nevanlinna-Pick Interpolation non-flat problem on it as:\\ % Given $\alpha_{1},~\alpha_{2} \in \mathbb{D},~(s_{1},0),~(s_{2},0) % \in {\rm Int}~\Gamma_{2} $,% $\varphi : \mathbb{D} \longrightarrow {\rm Int}~\Gamma_{2}$,is analytic,% ~such that~$\varphi(\alpha_{1}) = (s_{1},0)$，$\varphi(\alpha_{2}) = (s_{2},~0)$,% ~by the equality of Carath$\acute{e}$odory and Kobayashi distances,% ~and Schur theorem, ~we can find $\varphi$ that we want.

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Book chapters on the topic "Problème spectral de Nevanlinna-Pick"

1

Tannenbaum, Allen R. "Spectral Nevanlinna-Pick Interpolation." In Open Problems in Mathematical Systems and Control Theory, 217–20. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0807-8_41.

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2

Ellis, Michael. "Assessment and Diagnosis of Autism Spectrum Disorder." In Caring for Autism. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190259358.003.0007.

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The assessment and diagnosis phase of autism spectrum disorder (ASD) is a very difficult time for the parent. You will likely feel completely bewildered. You will be filled with many mixed emotions such as love for your child and fear for your child’s future. You may feel like your heart is breaking. But I can tell you, you are going to make it through this—just like I have. You will likely have to overcome significant denial to even discuss the unusual signs or symptoms that you have noticed in your young child. You may be afraid to hear the term “autism” come from your pediatrician’s mouth. However, you are about to start a very important journey with your child. You have to be strong in order to obtain for your child vital treatments and therapies that can dramatically improve your child’s life and future. Theoretically, ASD is not difficult to recognize and diagnose. However, in practice, it can be challenging. The full spectrum of symptoms included in ASD is quite wide. One child may appear quite typical with only minor eccentricities while another has significant intellectual disability, social impairment, self-injurious behavior, and aggression. No two individuals with ASD are exactly alike. In fact, individuals with autism are often more different than similar. We cannot easily pigeonhole or stereotype our children. Further complicating diagnosis, professionals often have little training in ASD, even in fields that have autism within their scope of practice. Furthermore, children with more subtle ASD symptoms or those who are “high-functioning” (more verbal and with more capabilities in general) do not always have symptoms that are evident at a very young age. At times, autism symptoms may not be identifiable until social problems become more significant as the child grows older. Primary care physicians are not typically able to spend long enough with your child during visits to pick up on the sometimes subtle signs needed to alert them to a possible ASD diagnosis.

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Conference papers on the topic "Problème spectral de Nevanlinna-Pick"

1

Tannenbaum, Allen. "Spectral Nevanlinna-Pick interpolation theory and robust stabilization." In 26th IEEE Conference on Decision and Control. IEEE, 1987. http://dx.doi.org/10.1109/cdc.1987.272721.

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Barnard, Cornelius J., Sébastien Briot, and Stéphane Caro. "Trajectory Generation for High Speed Pick and Place Robots." In ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/esda2012-82197.

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Currently parallel robots are finding more and more acceptance in high-speed pick-and-place operations. As for all high-speed mechanisms, vibratory phenomena appear and deteriorate accuracy and dynamic performance at the terminal positions of the pick-and-place path. This paper aims to evaluate the effectiveness of several pick-and-place trajectories in terms of vibration reduction. To address this problem, an elastodynamic model of a five bar mechanism is developed and its behaviour is simulated as it traverses each trajectory. Spectral analysis of the vibrations allows the quality of the vibration reduction to be quantified. The results show that the first and second natural frequencies of the system are excited. It is also shown that long cycle times with smooth motion profiles improve residual error norms, but are outperformed by their discontinuous counterparts when short cycle times are imposed.

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Golebiowski, Mateusz, Lorenzo Naldi, Valerio Rossi, and Stefano Ponticelli. "Train Torsional Vibrations: Monitoring System Based on Model Result." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22908.

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Development of a novel train torsional vibration monitoring approach utilizing system modal analysis has been reported in this paper. Common use of high power electric helper machines especially in large turbocompressor strings together with LCI speed control system characteristics dramatically increase the risk of machinery torsional vibration problems. Contemporary, industry-wide accepted measurement technologies (strain gage with telemetry, optical probes, laser) fit well the test needs but their lack of ruggedness and durability as well as problematic installation impacting machine operation don’t allow to consider them for the long-term monitoring applications. The authors present a methodology which allows to evaluate alternating torque amplitudes in different string sections based on standard instrumentation installed on a train. The approach adopted in this paper relies heavily on modal representation of dynamic system, being analyzed. Described calculation method utilizes results of such analysis along with gas turbine speed pick-up signal spectrum. Robustness and accuracy of the proposed technique was benchmarked against test data coming from several LNG production train measurement campaigns, where the alternating torque was measured by means of standard measurement systems. Authors present the results of such verification together with prospective system applications.

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Chen, Gang (Sheng), Jianfeng Xu, and J. Y. Chang. "An Insight Into the Nonlinear Touchdown Dynamics of TFC Active Slider." In ASME 2013 Conference on Information Storage and Processing Systems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/isps2013-2803.

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Storage of 10 Tb/in 2 in hard disk drives within the next decade requires a significant change to reduce the physical spacing as little as 0.25 nm at the read-write transducer location. A lot of tribology issues exist to such a low flying height, the touch down and take off instability and hysteresis, the flying height avalanche, the influences of surface topography and morphology, the lubricant modulation and pick-up, robust air bearing surface and suspension design, just to name a few. Understandings of the complex tribo-dynamics issues in the near contact and contact states are very important to further reduce the flying height. At such a small spacing intermittent contact between the slider and disk surface becomes inevitable and the current MEMS-based thermal fly-height control (TFC) technology needs further improvement to satisfy the future needs. How to control the slider to reduce touchdown instability and eventually eliminate bouncing has been a pressing and challenging research topic. Most of existing work on touchdown dynamics applied conventional nonlinear dynamics theory and spectrum as well as harmonics analysis, which could suffer from the assumptions of small nonlinearity and stationary. This study presents a concurrence plot and Lyapunov exponent analysis which could offer an insight to the problem in the context of contemporary nonlinear dynamics theory.

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