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Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations

Norman Lang
4.9/5 (30664 ratings)
Read Now Download Now ⏭ listen AudioBook
Description:This thesis is concerned with the linear-quadratic optimal control and model order reduction (MOR) of large-scale linear time-varying (LTV) control systems. In the first two parts, particular attention is paid to a tracking-type finite-time optimal control problem with application to an inverse heat conduction problem and the balanced truncation (BT) MOR method for LTV systems. In both fields of application the efficient solution of differential matrix equations (DMEs) is of major importance. The third and largest part deals with the application of implicit time integration methods to these matrix-valued ordinary differential equations. In this context, in particular, the rather new class of peer methods is introduced. Further, for the efficient solution of large-scale DMEs, in practice low-rank solution strategies are inevitable. Here, low-rank time integrators, based on a symmetric indefinte factored representation of the right hand sides and the solution approximations of the DMEs, are presented. In contrast to the classical low-rank Cholesky-type factorization, this avoids complex arithmetic and tricky implementations and algorithms. Both low-rank approaches are compared for numerous implicit time integration methods.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations. To get started finding Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
232
Format
PDF, EPUB & Kindle Edition
Publisher
Logos Verlag Berlin GmbH
Release
2018
ISBN
xvRQAAAAMAAJ

Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations

Norman Lang
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: This thesis is concerned with the linear-quadratic optimal control and model order reduction (MOR) of large-scale linear time-varying (LTV) control systems. In the first two parts, particular attention is paid to a tracking-type finite-time optimal control problem with application to an inverse heat conduction problem and the balanced truncation (BT) MOR method for LTV systems. In both fields of application the efficient solution of differential matrix equations (DMEs) is of major importance. The third and largest part deals with the application of implicit time integration methods to these matrix-valued ordinary differential equations. In this context, in particular, the rather new class of peer methods is introduced. Further, for the efficient solution of large-scale DMEs, in practice low-rank solution strategies are inevitable. Here, low-rank time integrators, based on a symmetric indefinte factored representation of the right hand sides and the solution approximations of the DMEs, are presented. In contrast to the classical low-rank Cholesky-type factorization, this avoids complex arithmetic and tricky implementations and algorithms. Both low-rank approaches are compared for numerous implicit time integration methods.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations. To get started finding Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
232
Format
PDF, EPUB & Kindle Edition
Publisher
Logos Verlag Berlin GmbH
Release
2018
ISBN
xvRQAAAAMAAJ

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