Recollections of the MTNS
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Rational Covariance Extension, Multivariate Spectral Estimation, and Related Moment Problems: Further Results and Applications
DIPARTIMENTO DI INGEGNERIA DELL'INFORMAZIONE Rational Covariance Extension, Multivariate Spectral Estimation, and Related Moment Problems: Further Results and Applications Ph.D. Candidate: Bin ZHU Advisor: Prof. Giorgio PICCI Coordinator: Prof. Andrea NEVIANI Ph.D. School in Information Engineering Department of Information Engineering University of Padova 2018 iv University of Padova Department of Information Engineering Ph.D. Course in Information Engineering Information and Communication Technologies The Automatica Group Rational Covariance Extension, Multivariate Spectral Estimation, and Related Moment Problems: Further Results and Applications Coordinator: Prof. Andrea NEVIANI Supervisor: Prof. Giorgio PICCI Ph.D. Student: Bin ZHU vi Acknowledgements First I would like to thank my advisor Prof. Giorgio Picci, who is really an inventor of ideas when dealing with research problems. He is also very generous with his time, encouraging, and gives me plenty of freedom to work on problems that I would like to pursue. He is willing to help, whether in research or daily life. He is surely humorous and knows a load of funny gossips of people in academia. I enjoy talking with him a lot. I am also grateful for the support from my family, especially my wife Bili 钟碧莉 and my little daughter Giulietta 朱纯熙 who was born in November 2017. They have made me a better human being in terms of interaction with people, in particular family members, although I am still learning and trying to improve. There have been difficult situations in the past year for us, even more so for Bili since she has the major responsibility of nourishing Giulietta while at the same time she has to continue her Ph.D. -
Bart, Hempfling, Kaashoek. (Eds.) Israel Gohberg and Friends.. on The
Israel Gohberg and Friends On the Occasion of his 80th Birthday Harm Bart Thomas Hempfling Marinus A. Kaashoek Editors Birkhäuser Basel · Boston · Berlin Editors: Harm Bart Marinus A. Kaashoek Econometrisch Instituut Department of Mathematics, FEW Erasmus Universiteit Rotterdam Vrije Universiteit Postbus 1738 De Boelelaan 1081A 3000 DR Rotterdam 1081 HV Amsterdam The Netherlands The Netherlands e-mail: [email protected] e-mail: [email protected] Thomas Hempfling Editorial Department Mathematics Birkhäuser Publishing Ltd. P.O. Box 133 4010 Basel Switzerland e-mail: thomas.hempfl[email protected] Library of Congress Control Number: 2008927170 Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at <http://dnb.ddb.de>. ISBN 978-3-7643-8733-4 Birkhäuser Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced of chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8733-4 e-ISBN 978-3-7643-8734-1 9 8 7 6 5 4 3 2 1 www.birkhauser.ch Contents Preface.......................................................................ix CongratulationsfromthePublisher...........................................xii PartI.MathematicalandPhilosophical-MathematicalTales...................1 I. -
Ii' C Aeronautical Engineering Aeron ^Al Engineering Aeronautical Er Lautical Engineering Aeronautic Aeronautical Engineering Ae
ft • f^^m Jt Aeronautical NASA SP-7037(145) \\ I/%%i/\ Engineering February 1982 eg ^VV ^^•Pv % A Continuin9 Bibliography with Indexes National Aeronautics and Space Administration i' c Aeronautica• ^ l Engineerin•• ^^ • ^"— *g ^^ Aero* n (NASA-SP-7037 (1U5) ) AERONAUTICAL N82-21138 •^I ENGINEERING. A CONTINUING BIBLIOGRAPHY WITH _ ^NDEXFS (National Aeronautics and Space \ p^^^il Administration) 100 p HC $5.00 CSCL 01A ^al Engineering Aeronautical Er lautical Engineering Aeronautic Aeronautical Engineering Aeror sring Aeronautical Engineering ngineering Aeronautical Engine :al Engineering Aeronautical Er lautical Engineering Aeronauts Aeronautical Engineering Aeror 3ring Aeronautical Engineering NASASP-7037(145) AERONAUTICAL ENGINEERING A CONTINUING BIBLIOGRAPHY WITH INDEXES (Supplement 145) A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information sys- tem and announced in January 1982 in • Scientific and Technical Aerospace-Reports (STAR) • International Aerospace Abstracts (IAA). Scientific and Technical Information Branch 1982 National Aeronautics and Space Administration Washington, DC This supplement is available as NTISUB/141/093 from .the National Technical Information Service (NTIS), Springfield, Virginia 22161 at the price of $5.00 domestic; $10.00 foreign. INTRODUCTION Under the terms of an interagency agreement with the Federal Aviation Administration this publication has been prepared by the National Aeronautics and Space Administration for the joint use of both agencies and the scientific and technical community concerned with the field of aeronautical engineering. The first issue of this bibliography was published in September 1970 and the first supplement in January 1971. This supplement to Aeronautical Engineering -- A Continuing Bibliography (NASA SP- 7037) lists 326 reports, journal articles, and other documents originally announced in January 1982 in Scientific and Technical Aerospace Reports (STAR) or in International Aerospace Abstracts (IAA). -
Reproducing Kernel Krein Spaces of Analytic Functions and Inverse Scattering
Chapman University Chapman University Digital Commons Mathematics, Physics, and Computer Science Science and Technology Faculty Articles and Faculty Articles and Research Research 10-1985 Reproducing Kernel Krein Spaces of Analytic Functions and Inverse Scattering Daniel Alpay Follow this and additional works at: https://digitalcommons.chapman.edu/scs_articles Part of the Algebra Commons, Analysis Commons, and the Other Mathematics Commons Reproducing Kernel Krein Spaces of Analytic Functions and Inverse Scattering Comments This is Dr. Daniel Alpay's thesis for the Doctor of Philosophy from the Weizmann Institute of Science in Rehovot, Israel, in October 1985. Copyright The author REPRODUCING KERNEL KREIN SPACES OF ANALYTIC FUNCTIONS AND INVERSE SCATTERING THESIS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY by DANIEL ALPAY Submitted to the Scientific Council of the Weizmann Institute of Science, Rehovot, Israel. October 1985. ABSTRACT The purpose of this thesis is to study certain reproducing kernel Krein spaces of analytic functions, the relationships between these spaces and an inverse scattering problem associated with matrix valued functions of bounded type, and an operator model. Roughly speaking, these results correspond to a generalization of earlier investigations on the applications of de Branges' theory of reproducing kernel Hilbert spaces of analytic functions to the inverse scattering problem for a matrix valued function of the Schur class. The present work considers first a generalization of a portion of de Branges' theory to Krein spaces. We then formulate a general inverse scattering problem which includes as a special case the more classical inverse scattering problem of finding linear fractional representations of a given matrix valued function of the Schur class and use the theory alluded to above to obtain solutions to this problem. -
Information-Based Complexity of Uncertainty Sets in Feedback Control Le Yi Wang and Lin Lin, Member, IEEE
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 46, NO. 4, APRIL 2001 519 Information-Based Complexity of Uncertainty Sets in Feedback Control Le Yi Wang and Lin Lin, Member, IEEE Abstract—In this paper, a notion of information-based in this paper to characterize complexity of an uncertainty set can complexity is introduced to characterize complexities of plant be illustrated in the following example. uncertainty sets in feedback control settings, and to understand relationships between identification and feedback control in dealing with uncertainty. This new complexity measure extends A. Illustrative Examples the Kolmogorov entropy to problems involving information Example 1: A device’s dynamic behavior varies signifi- acquisition (identification) and processing (control), and provides cantly with the altitude where it is installed. The installer of a tangible measure of “difficulty” of an uncertainty set of plants. In the special cases of robust stabilization for systems with either the device is supposed to input the value , and then a pre- gain uncertainty or unstructured additive uncertainty, the com- designed controller suitable for that is automatically selected plexity measures are explicitly derived. for implementation. Suppose that the total range of altitude is Index Terms—Complexity, feedback, identification, informa- . is equipped with a metric, namely, the tion, metric robustness, uncertainty. absolute value . Assume that the best controllers can provide robust stability and performance only for a range of uncertainty on of length . is a metric measure of optimal robustness of I. INTRODUCTION controllers. The question is: How many robust controllers must N THIS PAPER, a notion of information-based complexity, be predesigned and stored in the system computer? Let be I termed as control complexity, is introduced to characterize the minimum number of such controllers. -
Critical Survey of Approaches to EWR Target Tracking: Endorsing Use of an EKF’S Structure Thomas H
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, VOL. 6, NO. 12, JUNE 2018 1 Critical Survey of Approaches to EWR Target Tracking: endorsing use of an EKF’s structure Thomas H. Kerr III, Ph.D., Life Senior, IEEE, Assoc. Fellow, AIAA, Member ION & Life NDIA Abstract—New methodologies for target tracking and for can be incurred). Among the first cogent modern treatments evaluating its efficacy have recently emerged, all potentially of Reentry Vehicle (RV) target modeling for radar target being a “magic bullet”. The questionable accuracy benefits, tracking were1 [290]-[292], [59]-[61] (and, afterwards, quickly missing rigor (in some cases), and definitely large CPU-time computer loading drawbacks of the new estimation approaches followed by several others [62], [293]-[295]). are discussed as compared to conventional Extended Kalman Filters (EKF’s) and the novel Batch Maximum Likelihood Least Squares algorithm, as the well-known previous candidates for use in land-based Early Warning Radar (EWR) target tracking. A reminder is that the existing 40 year old Cramer-Rao lower bound evaluation methodology is already rigorous and adequate for evaluating target tracking efficacy in Pd < 1 situations when confined to exo-atmospheric target tracking, as arises in EWR for NMD/GMD. We also discuss the more challenging and Fig. 1. Gating after each incremental EKF output enables MTT associations numerically sensitive angle-only filter methodologies, needed to handle target tracking when enemy escort jamming denies radar EKF’s are typically used for tracking the target state in a range measurements and impedes target tracking unless two or ballistic trajectory; but over the last 30+ years, some form more radars cooperatively triangulate synchronously to thereby of nonlinear batch least squares (BLS) algorithm has also enable joint tracking of enemy jammers within the tight target threat complex. -
Weighted Sensitivity Minimization for Delay Systems S&)= W(S)(L +Po(S)C(S))-L
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. AC-31. NO. 8, AUGUST 1986 763 case reduces to simple Nevanlinna-Pick interpolation, the weighted case turns out to be much more complicated and demands certain functional- analytic techniques for its solution. NOMENCLATURE open unit disk closed unit disk unit circle open right half plane closed right half plane RU {m} the standard Hardy p-space (1 5 p 5 01) on X where X = D or H. (See [2] or [15] for details.) We will also use some Fig. 1. Maximum sample time for global %-holdability in X. elementary facts about LP-spaces. Again see [2] or [15] for details,Finally, if u E Ha(X) is an inner function, then and the holding set be given by @(X) e u@(X) will denote the orthogonal complement of uH*(X) in @(X). X={(xI, XZ) : Ix’+x215R, lxl-x211R, RZO). For a given value of R, it was determined from Theorem 1 that the I. INTRODUCTION discrete-time system is globally QD-holdable in X if the sample time T Since the paper of Zames [16], there has been much literature on satisfies T T,,,. If T T,,, the discrete-time system is not globally 5 > weighted Ha-sensitivity minimization in control (see [6] for an extensive QD-holdablein X. Fig. 1 gives some values of and the corresponding R list of references). In the papers [l], [7], [9] explicit algorithms are values of TmLx.Note that as T,, decreases, R increases. Hence, the size derived for computing the optimal sensitivity and controllers for LTI of the set in which the system is globally QD-holdableis dependent on the finitedimensional systems. -
Final Program Mathematical Theory of Networks and Systems
MTNS { 2002 1 Final Program Fifteenth International Symposium on Mathematical Theory of Networks and Systems University of Notre Dame, South Bend, Indiana, USA August 12-16, 2002. www.nd.edu/~mtns/ MTNS { 2002 2 Organizing Committee of MTNS 2002 SYMPOSIUM CHAIR Victor Vinnikov (Israel) Joachim Rosenthal (USA) Xiaochang Wang (USA) Shigeru Yamamoto (Japan) PUBLICATION CHAIR Sandro Zampieri (Italy) David S. Gilliam (USA) STEERING COMMITTEE PROGRAM COMMITTEE V. Blondel (Belgium) Mark Alber (USA) C.I. Byrnes (USA) Joe Ball (USA) R. Curtain (The Netherlands) Vincent Blondel (Belgium) B.N. Datta (USA) Tyrone Duncan (USA) P. Dewilde (The Netherlands) Avraham Feintuch (Israel) P. Van Dooren (Belgium) David Forney (USA) H. Dym (Israel) Krzysztof Galkowski (Poland) A. El Jay (France) Tryphon Georgiou (USA) M. Fliess (France) Heide Gluesing-Luerssen (Germany) P. Fuhrmann (Israel) Koichi Hashimoto (Japan) I. Gohberg (Israel) Bernard Hanzon (The Netherlands) U. Helmke (Germany) Diederich Hinrichsen (Germany) J.W. Helton (USA) Aleksandar Kavcic (USA) A. Isidori (Italy) Matthias Kawski (USA) M.A. Kaashoek (The Netherlands) Belinda King (USA) H. Kimura (Japan) Wolfgang Kliemann (USA) A.J. Krener (USA) Margreet Kuijper (Australia) A.B. Kurzhansky (Russia) Naomi Leonard (USA) A. Lindquist (Sweden) Daniel Liberzon (USA) C.F. Martin (USA) Wei Lin (USA) G. Picci (Italy) Brian Marcus (USA) A.C.M. Ran (The Netherlands) Volker Mehrmann (Germany) A. Rantzer (Sweden) Raimund Ober (USA) J. Rosenthal (USA) Dieter Praetzel-Wolters (Germany) J.H. van Schuppen (The Netherlands) Eric Rogers (United Kingdom) Y. Yamamoto (Japan) Pierre Rouchon (France) Hans Schumacher (The Netherlands) HONORARY MEMBERS Mark Shayman (USA) C.A. Desoer (USA) Rodolphe Sepulchre (Belgium) R.W. -
University of Groningen Heinz Langer and His Work Dijksma, Aad
University of Groningen Heinz Langer and his Work Dijksma, Aad; Gohberg, Israel Published in: EPRINTS-BOOK-TITLE IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document Version Publisher's PDF, also known as Version of record Publication date: 2008 Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Dijksma, A., & Gohberg, I. (2008). Heinz Langer and his Work. In EPRINTS-BOOK-TITLE University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science. Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). The publication may also be distributed here under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license. More information can be found on the University of Groningen website: https://www.rug.nl/library/open-access/self-archiving-pure/taverne- amendment. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Download date: 30-09-2021 Heinz Langer and his Work Aad Dijksma and Israel Gohberg 1. -
Curriculum Vitae of Giorgio Picci
CURRICULUM VITAE OF GIORGIO PICCI Updated June 2020 Personal Data Address Office: Department of Information Engineering (DEI) University of Padova Via Gradenigo 6/A 35131 PADOVA, Italy. Tel. (+39–049) 827–7705 homepage: http://www.dei.unipd.it/˜picci/ Email: [email protected] Education: Dr. Engineerig degree (summa cum laude) in Electronic Engineer- ing, University of Padova, Italy, July 1967. Present Position: Since Nov. 2012: Professor Emeritus, Department of Infor- mation Engineering University of Padova, Padova, Italy. As such, appointed as adjunct professor, teaching various courses on System Identification and Data Analysis with the School of Engineering, University of Padova Previous Positions with Italian Institutions : • From 2013 to present: Adjunct Professor (Professore a contratto) Department of Information Engineering and Department of Civil Engineering University of Padova, Padova, Italy. • From 1980 to 2012: Professor, Department of Information Engineer- ing University of Padova, Padova, Italy. Chair: System Identification. • November 1975–October 1980: Associate Professor, Institute of Elec- trical and Electronic Engineering, University of Padova . • August 1973–October 1980: Researcher with LADSEB-CNR, Labo- ratory of the National Research Council, Padova, Italy. • November 1970–October 1975: Lecturer with the Department of Statis- tics, University of Padova. 1 International Visiting Appointments • February–October 1973: Visiting Assistant Professor, Division of Applied Mathematics, Brown University, Providence, R.I. Nine months appoint- ment. • November 1973: Consultant, Center for Mathematical System Theory, University of Florida, Gainesville, Florida. • Spring Semester 1976: Visiting Scientist, Electronic Systems Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts. • June 1976: Visiting Scientist, Department of Mathematics, University of Kentucky, Lexington, Kentucky. • October 1976: Visiting Scientist, Department of Mathematics, University of Groningen, The Netherlands. -
Local-Global Double Algebras for Slow H- Adaptation: Part 11- Optimization of Stable Plants Le Y
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 36, NO. 2, FEBRUARY 1991 143 Local-Global Double Algebras for Slow H- Adaptation: Part 11- Optimization of Stable Plants Le Y. Wang, Member, IEEE, and George Zames, Fellow, IEEE Aktruct-In this two-part paper, a common algebraic framework is In this section, the double algebra will be E,, with local norm introduced for the frozen-time analysis of stability and H" optimiza- PJ.) and global norm It II(l(,). tion in slowly timevarying systems, based on the notion of a normed Suppose that W,,W, E IS, represent two weightings, and algebra on which local and global products are defined. Relations E represents a strictly causal plant. It is standard that between local stability, local (near) optimality, local coprime factoriza- G E, tion, and global versions of these properties are sought. feedbacks which are globally stabilizing in IS,, i.e., maintain all The framework is valid for time-domain disturbances in I". H"-be- closed-loop operators in E ,, can be parametrized by a compen- havior is related to I" input-output behavior via the device of an sator QEE, which gives a sensitivity (I- GQ),and a approximate isometry between frequency and time-domain norms. weighted sensitivity S E , In Part 1, some of the main features of normed double algebras were introduced. S = - Part 11 establishes an explicit formula linking global and local sensitiv- W,(Z GQ)W,. (2.1) ity for systems with stable plants, where local sensitivity is a Lipschitz- continuous function of data. Frequencydomain estimates of time-do- Denote W,G by G, and suppose that it has a local factoriza- main sensitivity norms, which become accurate as rates of time variation tion approach zero, are obtained. -
Reading Counts
Title Author Reading Level Sorted Alphabetically by Author's First Name Barn, The Avi 5.8 Oedipus The King (Knox) Sophocles 9 Enciclopedia Visual: El pla... A. Alessandrello 6 Party Line A. Bates 3.5 Green Eyes A. Birnbaum 2.2 Charlotte's Rose A. E. Cannon 3.7 Amazing Gracie A. E. Cannon 4.1 Shadow Brothers, The A. E. Cannon 5.5 Cal Cameron By Day, Spiderman A. E. Cannon 5.9 Four Feathers, The A. E. W. Mason 9 Guess Where You're Going... A. F. Bauman 2.5 Minu, yo soy de la India A. Farjas 3 Cat-Dogs, The A. Finnis 5.5 Who Is Tapping At My Window? A. G. Deming 1.5 Infancia animal A. Ganeri 2 camellos tienen joroba, Los A. Ganeri 4 Me pregunto-el mar es salado A. Ganeri 4.3 Comportamiento animal A. Ganeri 6 Lenguaje animal A. Ganeri 7 vida (origen y evolución), La A. Garassino 7.9 Takao, yo soy de Japón A. Gasol Trullols 6.9 monstruo y la bibliotecaria A. Gómez Cerdá 4.5 Podría haber sido peor A. H. Benjamin 1.2 Little Mouse...Big Red Apple A. H. Benjamin 2.3 What If? A. H. Benjamin 2.5 What's So Funny? (FX) A. J. Whittier 1.8 Worth A. LaFaye 5 Edith Shay A. LaFaye 7.1 abuelita aventurera, La A. M. Machado 2.9 saltamontes verde, El A. M. Matute 7.1 Wanted: Best Friend A. M. Monson 2.8 Secret Of Sanctuary Island A. M. Monson 4.9 Deer Stand A.