國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Generalized adjoint systems

Serakos, Demetrios.

Generalized adjoint systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Generalized adjoint systemsby Demetrios Serakos.
作者:	Serakos, Demetrios.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xii, 66 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Adjoint differential equations.
電子資源:	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
LDR:02693nmm a2200349 a 4500 001 465819
003 DE-He213
005 20151117134548.0
006 m d
007 cr nn 008maaau
008 151222s2015 gw s 0 eng d
020 $a 9783319166520 (electronic bk.)
020 $a 9783319166513 (paper)
024 7 $a 10.1007/978-3-319-16652-0 $2 doi
035 $a 978-3-319-16652-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA372
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA372 $b .S481 2015
100 1 $a Serakos, Demetrios. $3 704450
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
650 0 $a System analysis. $3 182013
650 0 $a Differentiable dynamical systems. $3 183764
650 1 4 $a Mathematics. $3 184409
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
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in optimization. $3 558249
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-16652-0
950 $a Mathematics and Statistics (Springer-11649)