Generalized Adjoint Systems

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Calculus
Cover of the book Generalized Adjoint Systems by Demetrios Serakos, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Demetrios Serakos ISBN: 9783319166520
Publisher: Springer International Publishing Publication: April 6, 2015
Imprint: Springer Language: English
Author: Demetrios Serakos
ISBN: 9783319166520
Publisher: Springer International Publishing
Publication: April 6, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Music and Public Health by Demetrios Serakos
Cover of the book Biology of Macrofungi by Demetrios Serakos
Cover of the book Recombinant Enzymes - From Basic Science to Commercialization by Demetrios Serakos
Cover of the book Psychosocial Health, Work and Language by Demetrios Serakos
Cover of the book Trace-Based Post-Silicon Validation for VLSI Circuits by Demetrios Serakos
Cover of the book The Geometric Hopf Invariant and Surgery Theory by Demetrios Serakos
Cover of the book A Modern Approach to Biofilm-Related Orthopaedic Implant Infections by Demetrios Serakos
Cover of the book Homo- and Heterobimetallic Complexes in Catalysis by Demetrios Serakos
Cover of the book Toward Brain-Computer Interaction in Paralysis by Demetrios Serakos
Cover of the book The Theory of Nilpotent Groups by Demetrios Serakos
Cover of the book Active Fault-Tolerant Control Systems by Demetrios Serakos
Cover of the book Cyber Security by Demetrios Serakos
Cover of the book Human Impact on the Environment by Demetrios Serakos
Cover of the book The Controversy over Marine Protected Areas by Demetrios Serakos
Cover of the book China's Governance by Demetrios Serakos
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy