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Singular Control Systems, Liyi Dai


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Автор: Liyi Dai
Название:  Singular Control Systems
ISBN: 9783540507246
Издательство: Springer
Классификация:






ISBN-10: 3540507248
Обложка/Формат: Paperback
Страницы: 334
Вес: 0.55 кг.
Дата издания: 09.02.1989
Серия: Lecture Notes in Control and Information Sciences
Язык: English
Размер: 244 x 170 x 18
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This monograph is sums up the development of singular system theory and provides the control circle with a systematic theory of the system.

Analysis and Design of Singular Markovian Jump Systems

Автор: Guoliang Wang; Qingling Zhang; Xinggang Yan
Название: Analysis and Design of Singular Markovian Jump Systems
ISBN: 3319087223 ISBN-13(EAN): 9783319087221
Издательство: Springer
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Цена: 121890.00 T
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Описание:

This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat's Lemma, among other techniques.

Features of the book include:

- study of the stability problem for SMJSs with general transition rate matrices (TRMs);

- stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints;

- mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller;

- observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent;

- consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering

- development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corres

ponding closed-loop system states

- applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays

Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.


Singular Integral Operators, Factorization and Applications

Автор: Albrecht B?ttcher; Marinus A. Kaashoek; Amarino Br
Название: Singular Integral Operators, Factorization and Applications
ISBN: 3034894015 ISBN-13(EAN): 9783034894012
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Operator Theoretical Methods in Diffraction Theory;

Control of Singular Systems with Random Abrupt Changes

Автор: El-K?bir Boukas
Название: Control of Singular Systems with Random Abrupt Changes
ISBN: 3642093752 ISBN-13(EAN): 9783642093753
Издательство: Springer
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Описание: This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems.

Singular Perturbations and Asymptotic Analysis in Control Systems

Автор: Petar V. Kokotovic; Alain Bensoussan; Gilmer L. Bl
Название: Singular Perturbations and Asymptotic Analysis in Control Systems
ISBN: 3540173625 ISBN-13(EAN): 9783540173625
Издательство: Springer
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Periodic Solutions of Singular Lagrangian Systems

Автор: A. Ambrosetti; V. Coti-Zelati
Название: Periodic Solutions of Singular Lagrangian Systems
ISBN: 0817636552 ISBN-13(EAN): 9780817636555
Издательство: Springer
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Цена: 97820.00 T
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Описание: A summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classic cases of the Kepler problem and the N-body problem are used as specific examples.

Periodic Solutions of Singular Lagrangian Systems

Автор: A. Ambrosetti; V. Coti-Zelati
Название: Periodic Solutions of Singular Lagrangian Systems
ISBN: 1461267056 ISBN-13(EAN): 9781461267058
Издательство: Springer
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Цена: 93160.00 T
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Описание: Thismonographdealswiththeexistenceofperiodicmotionsof Lagrangiansystemswith ndegreesoffreedom ij + V'(q) =0, where Visasingularpotential.Aprototypeofsuchaproblem, evenifitisnottheonlyphysicallyinterestingone, istheKepler problem .. q 0 q+yqr= . This, jointlywiththemoregeneralN-bodyproblem, hasalways beentheobjectofagreatdealofresearch.Mostofthoseresults arebasedonperturbationmethods, andmakeuseofthespecific featuresoftheKeplerpotential. OurapproachismoreonthelinesofNonlinearFunctional Analysis: ourmainpurposeistogiveafunctionalframefor systemswithsingularpotentials, includingtheKeplerandthe N-bodyproblemasparticularcases.PreciselyweuseCritical PointTheorytoobtainexistenceresults, qualitativeinnature, whichholdtrueforbroadclassesofpotentials.Thishighlights thatthevariationalmethods, whichhavebeenemployedtoob- tainimportantadvancesinthestudyofregularHamiltonian systems, canbesuccessfallyusedtohandlesingularpotentials aswell. Theresearchonthistopicisstillinevolution, andtherefore theresultswewillpresentarenottobeintendedasthefinal ones. Indeedamajorpurposeofourdiscussionistopresent methodsandtoolswhichhavebeenusedinstudyingsuchprob- lems. Vlll PREFACE Partofthematerialofthisvolumehasbeenpresentedina seriesoflecturesgivenbytheauthorsatSISSA, Trieste, whom wewouldliketothankfortheirhospitalityandsupport. We wishalsotothankUgoBessi, PaoloCaldiroli, FabioGiannoni, LouisJeanjean, LorenzoPisani, EnricoSerra, KazunakaTanaka, EnzoVitillaroforhelpfulsuggestions. May26,1993 Notation n 1.For x, yE IR, x. ydenotestheEuclideanScalarproduct, and IxltheEuclideannorm. 2. meas(A)denotestheLebesguemeasureofthesubset Aof n IR - 3.Wedenoteby ST = 0, T]/{a, T}theunitarycirclepara- metrizedby t E 0, T].Wewillalsowrite SI= ST=I. n 1 n 4.Wewillwrite sn = {xE IR +: Ixl =I}andn = IR \{O}. n 5.Wedenoteby LP( O, T], IR ),1 p +00, theLebesgue spaces, equippedwiththestandardnorm lIulip. l n l n 6. H (ST, IR )denotestheSobolevspaceof u E H,2(0, T; IR ) suchthat u(O) = u(T).Thenormin HIwillbedenoted by lIull2 = lIull + lIull - 7.Wedenoteby(-1-)and11-11respectivelythescalarproduct andthenormoftheHilbertspace E. 8.For uE E, EHilbertorBanachspace, wedenotetheball ofcenter uandradiusrby B(u, r) = {vE E: lIu- vii r}.Wewillalsowrite B = B(O, r). r 1 1 9.WesetA (n) = {uE H (St, n)}. k 10.For VE C (1Rxil, IR)wedenoteby V'(t, x)thegradient of Vwithrespectto x. l 11.Given f E C (M, IR), MHilbertmanifold, welet r = {uEM: f(u) a}, f-l(a, b) = {uE E: a f(u) b}. x NOTATION 12.Given f E C1(M, JR), MHilbertmanifold, wewilldenote by Zthesetofcriticalpointsof fon Mandby Zctheset Z U f-l(c, c). 13.Givenasequence UnE E, EHilbertspace, by Un ---"" Uwe willmeanthatthesequence Unconvergesweaklyto u. 14.With (E)wewilldenotethesetoflinearandcontinuous operatorson E. 15.With Ck''''(A, JR)wewilldenotethesetoffunctions ffrom AtoJR, ktimesdifferentiablewhosek-derivativeisHolder continuousofexponent0: . Main Assumptions Wecollecthere, forthereader'sconvenience, themainassump- tionsonthepotential Vusedthroughoutthebook. (VO) VEC1(lRXO, lR), V(t+T, x)=V(t, X) V(t, x)ElRXO, (VI) V(t, x)

Analysis and Design of Singular Markovian Jump Systems

Автор: Guoliang Wang; Qingling Zhang; Xinggang Yan
Название: Analysis and Design of Singular Markovian Jump Systems
ISBN: 3319383663 ISBN-13(EAN): 9783319383668
Издательство: Springer
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Цена: 95770.00 T
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Описание: Introduction.- Stability.- Stabilization.- H-infinity Control.- Observer-based Feedback Stabilization.- Filtering.- Adaptive Control.- Applications of a Markov Process.

Singular Optimal Control: The Linear-Quadratic Problem

Автор: D. J. Clements; B. D. O. Anderson
Название: Singular Optimal Control: The Linear-Quadratic Problem
ISBN: 3540086943 ISBN-13(EAN): 9783540086949
Издательство: Springer
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Large Scale Systems Stability under Structural and Singular Perturbations

Автор: Ljubomir T. Grujic; A.A. Martynyuk; M. Ribbens-Pav
Название: Large Scale Systems Stability under Structural and Singular Perturbations
ISBN: 3540183000 ISBN-13(EAN): 9783540183006
Издательство: Springer
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Цена: 81050.00 T
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Описание: Precise definitions of well known and new stability properties are given by the authors who present general results on the Liapunov stability properties of non-stationary systems which are out of the classical stability theory framework.

Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems

Автор: D. B. Ingham; M. A. Kelmanson
Название: Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
ISBN: 3540136460 ISBN-13(EAN): 9783540136460
Издательство: Springer
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Цена: 113190.00 T
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Описание: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques.

A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals

Автор: Ken Hayami
Название: A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals
ISBN: 3540550003 ISBN-13(EAN): 9783540550006
Издательство: Springer
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Цена: 121110.00 T
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Описание: This monograph proposes a numerical integration method for nearly singular integrals over general curved surfaces, arising in three-dimensional boundary element analysis. The method is also applied to weakly singular and hypersingular integrals. A knowledge of calculus is assumed.

Singular Integral Operators and Related Topics

Автор: A. B?ttcher; I. Gohberg
Название: Singular Integral Operators and Related Topics
ISBN: 3034898819 ISBN-13(EAN): 9783034898812
Издательство: Springer
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Цена: 97820.00 T
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Описание: This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.



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