Generalized Adjoint Systems
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Generalized Adjoint Systems
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Author : Demetrios Serakos
language : en
Publisher: Springer
Release Date : 2015-04-06
Generalized Adjoint Systems written by Demetrios Serakos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-06 with Mathematics categories.
This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control algorithms and in developing simulations. The generalized adjoint system is defined and is patterned similarly to adjoints of bounded linear transformations. Next the elementary properties of the generalized adjoint system are derived. For a space of input-output systems, a generalized adjoint map from this space of systems to the space of generalized adjoints is defined. Then properties of the generalized adjoint map are derived. Afterward the author demonstrates that the inverse of an input-output system may be represented in terms of the generalized adjoint. The use of generalized adjoints to determine bounds for undesired inputs such as noise and disturbance to an input-output system is presented and methods which parallel adjoints in linear systems theory are utilized. Finally, an illustrative example is presented which utilizes an integral operator representation for the system mapping.
Generalized Linear Differential Systems
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Author : William T. Reid
language : en
Publisher:
Release Date : 1958
Generalized Linear Differential Systems written by William T. Reid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Fredholm equations categories.
Generalized Inverses And Applications
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Author : M. Zuhair Nashed
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Generalized Inverses And Applications written by M. Zuhair Nashed and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, with particular reference to algebraic, topological, extremal, and proximinal properties. The reader is then introduced to the algebraic aspects of the generalized inverse of a rectangular matrix; the Fredholm pseudoinverse; and perturbations and approximations for generalized inverses and linear operator equations. Subsequent chapters deal with various applications of generalized inverses, including programming, games, and networks, as well as estimation and aggregation in econometrics. This monograph will be of interest to mathematicians and students of mathematics.
Generalized Green S Functions For Compatible Differential Systems
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Author : William Whitfield Elliott
language : en
Publisher:
Release Date : 1928
Generalized Green S Functions For Compatible Differential Systems written by William Whitfield Elliott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1928 with Differential equations categories.
Variational Methods In The Mechanics Of Solids
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Author : S. Nemat-Nasser
language : en
Publisher: Elsevier
Release Date : 2017-01-31
Variational Methods In The Mechanics Of Solids written by S. Nemat-Nasser and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Technology & Engineering categories.
Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.
Variational Analysis And Generalized Differentiation Ii
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-02
Variational Analysis And Generalized Differentiation Ii written by Boris S. Mordukhovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-02 with Mathematics categories.
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Fundamentals Of Structural Optimization
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Author : Vladimir Kobelev
language : en
Publisher: Springer Nature
Release Date : 2023-12-01
Fundamentals Of Structural Optimization written by Vladimir Kobelev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-01 with Technology & Engineering categories.
This book serves as a complementary resource to the courses "Advanced structural optimization" and "Structural optimization in automotive engineering" taught by the author at the University of Siegen, North-Rhine-Westphalia, Germany since 2001. Focusing on optimization problems in the field of structural engineering, this book offers a rigorous and analytical approach to problem-solving. Each chapter of the book begins with a brief overview of classical results and the derivation of governing equations. The solutions to optimization problems are then presented in a closed form, with the author guiding readers through several analytical methods for solving stability and contact tasks. Throughout the book, the author takes care to ensure that even readers without extensive experience in numerical computations can understand the conclusion of each relation. The book features several basic optimization problems, selected from a large pool of previously solvedproblems, with a particular emphasis on the unique features of optimization problems. By presenting analytical solutions, readers can better understand other known optimization problems and gain the skills needed to independently set and solve new problems. With its comprehensive and rigorous approach to problem-solving, this book is sure to enhance the reader's understanding of the field and equip them with the skills needed to tackle new challenges.
Realization And Model Reduction Of Dynamical Systems
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Author : Christopher Beattie
language : en
Publisher: Springer Nature
Release Date : 2022-06-09
Realization And Model Reduction Of Dynamical Systems written by Christopher Beattie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Science categories.
This book celebrates Professor Thanos Antoulas's 70th birthday, marking his fundamental contributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.
Structronic Systems Systems And Control
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Author : Ardshir Guran
language : en
Publisher: World Scientific
Release Date : 1998
Structronic Systems Systems And Control written by Ardshir Guran and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Pt. 1. Materials and structures. ch. 1. The piezoelectric vibration absorber systems / Joseph Hollkamp and Thomas Starchville, Jr. -- ch. 2. Self-sensing control applied to smart material systems / Ephrahim Garcia and Lowell Dale Jones -- ch. 3. An introduction to active constrained layer damping treatments / Steve Shen -- ch. 4. Static and dynamic behavior of adaptive wings carrying externally mounted stores / Liviu Librescu and Ohseop Song -- ch. 5. Adaptive design and active composite material systems / Junji Tani and Jinhao Qiu -- ch. 6. Microelectromechanics and functionality of segmented cylindrical transducers / Horn-Sen Tzou, Yumin Bao and V.B. Venkayya -- ch. 7. Thermomechanical modeling of shape memory alloys and composites / Dimitris Lagoudas [und weitere] -- ch. 8. Active-passive hybrid structural vibration controls via piezoelectrical networks / Kon-Well Wang and Steven Kahn -- ch. 9. On-line structural damage detection / Herman Shen -- ch. 10. On material degradation and failure of piezoelectric ceramics / Horacio Sosa -- pt. 2. Systems and control. ch. 11. Near-minimum-time slewing and vibration control of smart structures / Youdan Kim, Jin-Young Suk and John L. Junkins -- ch. 12. Active polyelectrolyte gels as electrically controllable artificial muscles and intelligent network structures / Mohsen Shahinpoor -- ch. 13. Active dynamic absorbers - theory and application / Sanjiv Tewani [und weitere] -- ch. 14. Active vibration sink for flexible structures / Chan-Shin Chou -- ch. 15. Distributed modal-space control and estimation with electroelastic applications / Hayrani Oz -- ch. 16. Markov parameters in system identification: old and new concepts / Minh Q. Phan, Jer-Nan Juang and Richard E. Longman -- ch. 17. Effect of system non-linearities on the modified model reference adaptive control scheme / Hemant M. Sardar and Mehdi Ahmadian -- ch. 18. Extending teach-repeat to nonholonomic robots / Steven B. Skaar and John-David Yoder -- ch. 19. Dynamic analysis and active vibration control of chain drive systems / Chin-An Tan [und weitere] -- ch. 20. Basic concepts of fault-tolerant computing design / Chouki Aktouf, Arde Guran and Oum-El-Kheir Benkahla
Optimization Of Large Structural Systems
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Author : George I. N. Rozvany
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Optimization Of Large Structural Systems written by George I. N. Rozvany and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Technology & Engineering categories.
G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints.