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  • 1
    Online Resource
    Online Resource
    London :Academic Press, Inc.,
    UID:
    almahu_9947367000402882
    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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  • 2
    UID:
    almahu_9947363238402882
    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
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  • 3
    UID:
    b3kat_BV010750787
    Format: XXIII, 668 S. , graph. Darst.
    ISBN: 0792337247
    Series Statement: Mathematics and its applications 341
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Kontrolltheorie
    URL: Cover
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  • 4
    Book
    Book
    London :Overseas Publ. Interchange,
    UID:
    almafu_BV000587445
    Format: 137 S.
    Edition: 1. Russ. ed.
    ISBN: 0-903868-87-3
    Language: Russian
    Subjects: Slavic Studies
    RVK:
    Keywords: 1809-1852 Gogolʹ, Nikolaj Vasilʹevič
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  • 5
    UID:
    almafu_BV000493581
    Format: XIV, 217 S.
    ISBN: 0-12-417940-1 , 0-12-417941-X
    Series Statement: Mathematics in science and engineering 180
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Funktional-Differentialgleichung ; Stabilität
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  • 6
    Online Resource
    Online Resource
    London : Academic Press
    UID:
    gbv_878888896
    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
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  • 7
    UID:
    gbv_272038792
    Format: XIV, 217 S. , graph. Darst.
    ISBN: 012417941X , 0124179401
    Series Statement: Mathematics in science and engineering 180
    Note: Literaturverz. S. 202 - 214
    Language: German
    Subjects: Mathematics
    RVK:
    RVK:
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  • 8
    UID:
    gbv_282341420
    Format: 272 S , Ill., Kt
    Series Statement: Biblioteka Rossijskogo ėtnografa
    In: 2
    Language: Undetermined
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  • 9
    UID:
    gbv_1834675774
    Format: 1 Online-Ressource (58 pages)
    Note: At head of title: Institut prava akademii nauk SSSR, Voenno-i︠u︡ridicheskai︠a︡ sekt︠s︡ii︠a︡
    Language: Russian
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  • 10
    UID:
    gbv_282341412
    Series Statement: Biblioteka Rossijskogo ėtnografa
    Note: Bd. 1 u.d.T.: Melechova, G. N.: Russkie , In kyrill. Schr
    Language: Undetermined
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