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Generalized adjoint systems

Serakos, Demetrios.

Generalized adjoint systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized adjoint systemsby Demetrios Serakos.
Author:	Serakos, Demetrios.
Published:	Cham :Springer International Publishing :2015.
Description:	xii, 66 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Adjoint differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-16652-0
ISBN:	9783319166520 (electronic bk.)

Generalized adjoint systems
Serakos, Demetrios.

Generalized adjoint systems[electronic resource] /by Demetrios Serakos. - Cham :Springer International Publishing :2015. - xii, 66 p. :ill., digital ;24 cm. - SpringerBriefs in optimization,2190-8354. - SpringerBriefs in optimization..

1. Introduction -- 2.Preliminaries -- 3. Spaces of time functions consisting of input-output systems -- 4. A generalized adjoint system -- 5. A generalized adjoint map -- 6. On the invertibility using the generalized adjoint system -- 7. Noise and disturbance bounds using adjoints -- 8. Example -- 9. Summary and conclusion On the input-output system topology.

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.

ISBN: 9783319166520 (electronic bk.)

Standard No.: 10.1007/978-3-319-16652-0doiSubjects--Topical Terms:

719774
Adjoint differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Generalized adjoint systems
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245 1 0 $a Generalized adjoint systems $h [electronic resource] / $c by Demetrios Serakos.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 66 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in optimization, $x 2190-8354
505 0 $a 1. Introduction -- 2.Preliminaries -- 3. Spaces of time functions consisting of input-output systems -- 4. A generalized adjoint system -- 5. A generalized adjoint map -- 6. On the invertibility using the generalized adjoint system -- 7. Noise and disturbance bounds using adjoints -- 8. Example -- 9. Summary and conclusion On the input-output system topology.
520 $a 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.
650 0 $a Adjoint differential equations. $3 719774
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650 0 $a Differentiable dynamical systems. $3 183764
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650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Functional Analysis. $3 274845
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