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SpringerBriefs in Optimization

Generalized Adjoint Systems

Authors: Serakos, Demetrios

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  • Presents material that uses the generalized adjoint system to determine noise and disturbance bounds for an input-output system
  • Derives elementary properties of the generalized adjoint system
  • Explains systems theory through the generalized adjoint concept with its representations and its uses
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eBook 44,02 €
price for France (gross)
  • ISBN 978-3-319-16652-0
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Softcover 58,01 €
price for France (gross)
  • ISBN 978-3-319-16651-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 44,02 €
price for France (gross)
  • ISBN 978-3-319-16652-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 58,01 €
price for France (gross)
  • ISBN 978-3-319-16651-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Adjoint Systems
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Demetrios Serakos
eBook ISBN
978-3-319-16652-0
DOI
10.1007/978-3-319-16652-0
Softcover ISBN
978-3-319-16651-3
Series ISSN
2190-8354
Edition Number
1
Number of Pages
XII, 66
Topics