Kooperativer Bibliotheksverbund

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Format: 1 online resource (233 p.)

ISBN: 1-282-61968-3 , 9786612619687 , 0-08-096314-5

Series Statement: Mathematics in science and engineering ; v. 180

Content: This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.

Note: Description based upon print version of record. , Front Cover; Stability of Functional Differential Equations; Copyright Page; Contents; Preface; Chapter 1. Theoretical foundations of functional differential equations; 1. Time lags in engineering; 2. Aftereffects in physical, biological and other systems; 3. Initial-value problem for functional differential equations; 4. Linear equations; 5. Linear autonomous equations; 6. Feedback systems with aftereffects; Chapter 2. Stability of retarded equations; 1. General definitions of stability; 2. Linear autonomous retarded equations; 3. Methods of stability investigation of linear autonomous RFDEs , 4. Stabilization system of the two-reflector antenna5. Liapunov direct method for equations with delay; 6. Construction of Liapunov - Krasovskii functionals; 7. Stability of nuclear reactors; 8. Mathematical models in immunology; 9. Design of adaptive controller for retarded systems; 10. Stability of viscoelastic bodies; 11. Absolute stability of systems with delay; 12. Stability of linear periodic equations; Chapter 3. Stability of neutral functional differential equations; 1. Stability of linear autonomous NFDEs; 2. Stability of aeroautoelasticity equations , 3. Liapunov direct method for neutral-type equations4. Construction of degenerated functionals for concrete systems; 5. Instability of neutral-type equations; 6. Asymptotic properties of neutral-type equations; 7. Liapunov functionals depending on derivatives; 8. Stability and boundedness of linear nonhomogeneous equations; 9. Linear periodic equations; Chapter 4. Stability of stochastic functional differential equations; 1. Some prerequisites from the theory of stochastic retarded functional differential equations; 2. Formulation of stability problems for SRFDEs. Liapunov direct method , 3. Stability of scalar stochastic equations4. Stability of second-order equations; 5. Stationary and periodic solutions of stochastic retarded equations; 6. Stability with respect to the first approximation; 7. Neutral-type stochastic functional differential equations; 8. Stability of linear autonomous equations; References; Index

Additional Edition: ISBN 0-12-417941-X

Language: English

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Format: XXIV, 672 p. , online resource.

ISBN: 9789401722032

Series Statement: Mathematics and Its Applications ; 341

Content: Give, and it shall be given unto you. ST. LUKE, VI, 38. The book is based on several courses of lectures on control theory and appli­ cations which were delivered by the authors for a number of years at Moscow Electronics and Mathematics University. The book, originally written in Rus­ sian, was first published by Vysshaya Shkola (Higher School) Publishing House in Moscow in 1989. In preparing a new edition of the book we planned to make only minor changes in the text. However, we soon realized that we like many scholars working in control theory had learned many new things and had had many new insights into control theory and its applications since the book was first published. Therefore, we rewrote the book especially for the English edition. So, this is substantially a new book with many new topics. The book consists of an introduction and four parts. Part One deals with the fundamentals of modern stability theory: general results concerning stability and instability, sufficient conditions for the stability of linear systems, methods for determining the stability or instability of systems of various type, theorems on stability under random disturbances.

Note: I. Continuous and Discrete Deterministic Systems -- II. Stability of Stochastic Systems -- III. Description of Control Problems -- IV. The Classical Calculus of Variations and Optimal Control -- V. The Maximum Principle -- VI. Linear Control Systems -- VII. Dynamic Programming Approach. Sufficient Conditions for Optimal Control -- VIII. Some Additional Topics of Optimal Control Theory -- IX. Control of Stochastic Systems. Problem Statements and Investigation Techniques -- X. Optimal Control on a Time Interval of Random Duration -- XI. Optimal Estimation of the State of the System -- XII. Optimal Control of the Observation Process -- XIII. Linear Time-Invariant Control Systems -- XIV. Numerical Methods for the Investigation of Nonlinear Control Systems -- XV. Numerical Design of Optimal Control Systems -- General References.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9789048146154

Language: English

DOI: 10.1007/978-94-017-2203-2

URL: http://dx.doi.org/10.1007/978-94-017-2203-2

URL: Volltext

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Format: Online Ressource (xiv, 217 pages) , illustrations.

Edition: Online-Ausg. [S.l.] HathiTrust Digital Library Online-Ausg. [S.l.] : HathiTrust Digital Library

ISBN: 9780080963143 , 0080963145

Series Statement: Mathematics in science and engineering v. 180

Content: This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables

Note: Includes bibliographical references (pages 202-214) and index. - Print version record , Print version record , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002 , Theoretical foundations of functional differential equationsStability of retarded equations -- Stability of neutral functionalk differential equations -- Stability of stochastic functional differential equations. , Online-Ausg. [S.l.] : HathiTrust Digital Library , Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

Additional Edition: ISBN 0124179401

Additional Edition: ISBN 012417941X

Additional Edition: Erscheint auch als Druck-Ausgabe Kolmanovskiĭ, Vladimir Borisovich Stability of functional differential equations London ; Orlando : Academic Press, 1986

Language: English

Keywords: Electronic books ; Electronic books

URL: lizenzpflichtig

URL: lizenzpflichtig

URL: Volltext

URL: Volltext

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Format: 1 Online-Ressource (58 pages)

Note: At head of title: Institut prava akademii nauk SSSR, Voenno-i︠u︡ridicheskai︠a︡ sekt︠s︡ii︠a︡

Language: Russian

URL: lizenzpflichtig

UID:

Format: 1 online resource (520 p.)

Edition: Reprint 2021

ISBN: 9783112495148

Series Statement: Physica status solidi / A. ; Volume 87, Number 1

Note: Frontmatter -- , Contents -- , Review Article -- , Achievements in the Field of Physics and Spectroscopy of Activated Laser Crystals -- , An X-Ray Wave Theory for Heavily Distorted Crystals. I. On the Modified Monochromatic Spherical Waves -- , Application oî the Invariance Principle in the Dynamic Theory of X-Ray Scattering -- , Electroless Deposition of ln208 and In203:Sn(IT0) -- , The Rate of Advance of a Monoatomic Step on the Surface of a Growing Kossel Crystal -- , The Ground State Superstructures in Ordered Binary S.C., B.C.C., and F.C.C. Alloys with Pair Interactions up to Third Neighbours -- , Determination of the Long-Range Order Parameter in the Transition Metal Alloys Using Môssbauer Spectroscopy -- , On the Extension of the Theory of Umweganregung with Respect to the Use of Divergent White X-Ray Radiation -- , A New Form of Sn02 Found during Oxidation of 〈*-SnO Thin Films -- , X-Ray Bond-Type Diffractometer Investigations on V305 in the Temperature Interval 298 to 480 K Including the Phase Transition Temperature Tt = 428 K -- , Atomic Structure of CuAuII Studied by High Resolution Electron Microscopy -- , X-Ray Structure Amplitudes for GaAs and InP -- , An Electron Diffraction Study of the Ordering of Silver in Ag*NbSe2 for 0 〈 * 〈 0.33 -- , High-Temperature X-Ray Diffraction Study on Co75Sn25 Alloy -- , Correlation between Yield Stress and Microhardness in Crystals Such as NaCl -- , Theory of Melting -- , A Quantitative Study of Stable Dislocations in the Pi-Phase of Cu-Zn-Al Alloys -- , Irradiation aux ions d'un film mince d'alliage Fe 65 at%-Co 35 at% -- , Influence of Chlorine Implantation on Phosphorus Diffusivity and Oxidation-Induced Defects in Silicon -- , Effect of Impurity State on Deformation-Induced Density Change in NaCl:Ca Crystals -- , Effect of Diffuse Scattering in the Strain Profile Determination by Double Crystal X-Ray Diffraction -- , Electron Microscope Observation of the Structure and Behaviour of Stacking Fault Tetrahedra and Single Vacancies in Gold Crystals Irradiated by 2 MeV Electrons -- , The Formation of Plane-Wave X-Ray Images of Microdefects -- , Study of the Roasting of Pyrite Minerals by Mössbauer Spectroscopy -- , Crystal Structure and Magnetic and Electrical Properties of Pseudo-Ternary HoCui-^Zn^Si and NdCu0.6Zn0.4Si Compounds -- , The Detection of Magnetic Order-Order Transitions in MnAsi-xP* Crystals -- , Structural Relaxation and Curie Point of a Metallic Glass -- , Cathodoluminescence of Graded Band-Gap Semiconductor Structures -- , Thermoluminescence of Beryl and Its Analysis -- , Study of Electronic States Located at the Si-Si02 Interface and within the Oxide Volume of VLSI MOS Capacitors Using Capacitance and Conductance Measurements -- , Luminescence Efficiency and Grain Sizes of Ar Crystals -- , Dielectric Parameters for Films and Sheets at Microwave Frequencies -- , A Study of the Resistivity and the Thermoelectric Power of Thin Films of Sb and Bi -- , Thickness Dependence of Hall Mobility of HWE Grown PbTe Films -- , The Effect of Electroforming on the Alternating Current Behaviour of Thin Amorphous SiO^/YaOa Films -- , Contact Overlap in MIM Structures with Distributed Traps -- , On the Generation-Recombination Currents in p-n Junctions of Semiconductors with Continuous Gap-State Spectrum -- , Degradation of Green Light Emitting Diodes LPE-GraP:N -- , The Importance of the Excitation Volume for the Determination of the Minority Carrier Diffusion Length -- , Short Notes -- , Some Anomalies Connected with the Structural Transition of KFeF4 near 400 K -- , Polymorphic Phase Transition in PbgBigO^ -- , Kinetics of Recrystallization of SbpS^ in Glassy (GeSg)Q g(Sb2Sg)0 ^ -- , Heat Capacity and Thermodynamic Properties of TlgS at Low Temperatures -- , Acoustical and Electromechanical Behaviour of Proustite Parameters in the Incommensurate Phase -- , A Study of HgO Lattice Diffusion in Sodium Nitroprusside Single Crystal -- , Photoluminescence of Silicon Annealed at Low Temperatures (420 to 550 °C) -- , Activation of S+-Implanted InP by Scanned CW Laser Irradiation -- , Acoustic Properties of Terbium Ferrite Garnet in the Region of the Compensation Temperature Point -- , Preparation and Magnetic Properties of YMng(Si^ ^Ge^)^ Compounds -- , Optical Absorption Edge in. Amorphous I n ^ S e ^ Films -- , Reversible and Irreversible Changes in Exciton Spectra of ZnSe Luminescence -- , Intensity Dependent Saturation Space Charge Fields in LiTaQ3:Fe -- , Exoelectron Emission Due to Alkali Ions on Insulating Layers -- , Paramagnetic Centers in UV-Irradiated Zn^O (BOp)g -- , Long Living Conduction Electrons in Decomposed —x— 1 JP^ C rys t a l s 〉 D e t e c t e d by EPR Spectroscopy -- , On a Trap Ionization Mechanism by Electric Field in CdF^ -- , Depolarization Field Effect on Domain Wall Motion in TGS Crystals -- , On the Ideality Factor of Schottky Diodes at Low Temperatures -- , Institute of Materials Science, University of Tsukuba, Ibaraki* ^ p-i-n Junction in Evaporated a-Si -- , DC-SQUID Operation above 20 K -- , Pre-Printed Titles , In English.

Additional Edition: ISBN 9783112495131

Language: English

DOI: 10.1515/9783112495148

URL: https://doi.org/10.1515/9783112495148

URL: https://www.degruyter.com/isbn/9783112495148