Hankel Norm Approximation for Infinite-Dimensional Systems

A. Sasane (Autor)

Buch | Softcover

VIII, 148 Seiten

2002 | 2002
Springer Berlin (Verlag)
978-3-540-43327-9 (ISBN)

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Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of distance between two linear systems: roughly speaking, it is the induced norm of the operator that maps past inputs to future outputs. It turns out that the engineering problem of model reduction in the Hankel norm is closely related to the mathematical problem of finding solutions to the sub-optimal Nehari-Takagi problem, which is called "the sub-optimal Hankel norm approximation problem" in this book. Although the existence of a solution to the sub-optimal Hankel norm approximation problem has been known since the 1970's, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time.

Classes of well-posed linear systems.- Compactness and nuclearity of Hankel operators.- Characterization of all solutions.- State space solutions.- The non-exponentially stable case.- The case of regular linear systems.- Coda.

Erscheint lt. Verlag	14.5.2002
Reihe/Serie	Lecture Notes in Control and Information Sciences
Zusatzinfo	VIII, 148 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 250 mm
Gewicht	252 g
Themenwelt	Technik ► Elektrotechnik / Energietechnik
Schlagworte	Complexity • Distance • Hankelsche Norm • Hardcover, Softcover / Technik/Bautechnik, Umwelttechnik • Hardcover, Softcover / Technik/Elektronik, Elektrotechnik, Nachrichtentechnik • HC/Technik/Elektronik, Elektrotechnik, Nachrichtentechnik • Mathematica • Model • Operator
ISBN-10	3-540-43327-9 / 3540433279
ISBN-13	978-3-540-43327-9 / 9783540433279
Zustand	Neuware