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

Stability and boundary stabilization...

Bastin, Georges.

Stability and boundary stabilization of 1-D hyperbolic systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stability and boundary stabilization of 1-D hyperbolic systemsby Georges Bastin, Jean-Michel Coron.
作者:	Bastin, Georges.
其他作者:	Coron, Jean-Michel.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xiv, 307 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Hyperbolic.
電子資源:	http://dx.doi.org/10.1007/978-3-319-32062-5
ISBN:	9783319320625$q(electronic bk.)

Stability and boundary stabilization of 1-D hyperbolic systems
Bastin, Georges.

Stability and boundary stabilization of 1-D hyperbolic systems[electronic resource] /by Georges Bastin, Jean-Michel Coron. - Cham :Springer International Publishing :2016. - xiv, 307 p. :ill., digital ;24 cm. - Progress in nonlinear differential equations and their applications,v.881421-1750 ;. - Progress in nonlinear differential equations and their applications ;v.83..

Hyperbolic Systems of Balance Laws -- Systems of Two Linear Conservation Laws -- Systems of Linear Conservation Laws -- Systems of Nonlinear Conservation Laws -- Systems of Linear Balance Laws -- Quasi-Linear Hyperbolic Systems -- Backstepping Control -- Case Study: Control of Navigable Rivers -- Appendices -- References -- Index.

This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a "backstepping" method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in practical applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.

ISBN: 9783319320625$q(electronic bk.)

Standard No.: 10.1007/978-3-319-32062-5doiSubjects--Topical Terms:

199039
Differential equations, Hyperbolic.

LC Class. No.: QA377 / .B37 2016

Dewey Class. No.: 515.3535

Stability and boundary stabilization of 1-D hyperbolic systems
LDR:03177nmm a2200325 a 4500 001 493085
003 DE-He213
005 20160726151515.0
006 m d
007 cr nn 008maaau
008 170220s2016 gw s 0 eng d
020 $a 9783319320625$q(electronic bk.)
020 $a 9783319320601$q(paper)
024 7 $a 10.1007/978-3-319-32062-5 $2 doi
035 $a 978-3-319-32062-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377 $b .B37 2016
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.3535 $2 23
090 $a QA377 $b .B326 2016
100 1 $a Bastin, Georges. $3 753645
245 1 0 $a Stability and boundary stabilization of 1-D hyperbolic systems $h [electronic resource] / $c by Georges Bastin, Jean-Michel Coron.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2016.
300 $a xiv, 307 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in nonlinear differential equations and their applications, $x 1421-1750 ; $v v.88
505 0 $a Hyperbolic Systems of Balance Laws -- Systems of Two Linear Conservation Laws -- Systems of Linear Conservation Laws -- Systems of Nonlinear Conservation Laws -- Systems of Linear Balance Laws -- Quasi-Linear Hyperbolic Systems -- Backstepping Control -- Case Study: Control of Navigable Rivers -- Appendices -- References -- Index.
520 $a This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential equations. It presents typical examples of hyperbolic systems for a wide range of physical engineering applications, allowing readers to understand the concepts in whichever setting is most familiar to them. With these examples, it also illustrates how control boundary conditions may be defined for the most commonly used control devices. The authors begin with the simple case of systems of two linear conservation laws and then consider the stability of systems under more general boundary conditions that may be differential, nonlinear, or switching. They then extend their discussion to the case of nonlinear conservation laws and demonstrate the use of Lyapunov functions in this type of analysis. Systems of balance laws are considered next, starting with the linear variety before they move on to more general cases of nonlinear ones. They go on to show how the problem of boundary stabilization of systems of two balance laws by both full-state and dynamic output feedback in observer-controller form is solved by using a "backstepping" method, in which the gains of the feedback laws are solutions of an associated system of linear hyperbolic PDEs. The final chapter presents a case study on the control of navigable rivers to emphasize the main technological features that may occur in practical applications of boundary feedback control. Stability and Boundary Stabilization of 1-D Hyperbolic Systems will be of interest to graduate students and researchers in applied mathematics and control engineering. The wide range of applications it discusses will help it to have as broad an appeal within these groups as possible.
650 0 $a Differential equations, Hyperbolic. $3 199039
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
650 2 4 $a Vibration, Dynamical Systems, Control. $3 274667
700 1 $a Coron, Jean-Michel. $3 561844
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Progress in nonlinear differential equations and their applications ; $v v.83. $3 558793
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-32062-5
950 $a Mathematics and Statistics (Springer-11649)