Linear Algebra for Control Theory by A. C. Antoulas (auth.), Paul Van Dooren, Bostwick Wyman

By A. C. Antoulas (auth.), Paul Van Dooren, Bostwick Wyman (eds.)

During the prior decade the interplay among regulate idea and linear algebra has been ever expanding, giving upward thrust to new ends up in either components. As a ordinary outflow of this study, this e-book provides info in this interdisciplinary region. The cross-fertilization among keep an eye on and linear algebra are available in subfields corresponding to Numerical Linear Algebra, Canonical types, Ring-theoretic equipment, Matrix thought, and powerful keep watch over. This book's editors have been challenged to give the most recent ends up in those parts and to discover issues of universal curiosity. This quantity displays very properly the interplay: the variety of issues turns out very broad certainly, however the easy difficulties and methods are regularly heavily attached. And the typical denominator in all of this is often, in fact, linear algebra.
This booklet is acceptable for either mathematicians and students.

Show description

Read Online or Download Linear Algebra for Control Theory PDF

Best linear books

Mengentheoretische Topologie

Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem three. Semester bestens geeignet ist. Zahlreiche Aufgaben ermöglichen ein systematisches Erlernen des Stoffes, wobei Lösungshinweise bzw.

Combinatorial and Graph-Theoretical Problems in Linear Algebra

This IMA quantity in arithmetic and its functions COMBINATORIAL AND GRAPH-THEORETICAL difficulties IN LINEAR ALGEBRA relies at the court cases of a workshop that was once a vital part of the 1991-92 IMA application on "Applied Linear Algebra. " we're thankful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for making plans and enforcing the year-long software.

Linear Algebra and Matrix Theory

This revision of a well known textual content comprises extra subtle mathematical fabric. a brand new part on purposes offers an creation to the fashionable remedy of calculus of a number of variables, and the concept that of duality gets improved assurance. Notations were replaced to correspond to extra present utilization.

Extra info for Linear Algebra for Control Theory

Example text

2, 1981, pp. 113-127. 6. E. EMRE AND P. KHARGONEKAR, Regulation of split linear systems over rings: Coefficient assignment and observers, IEEE Trans. Aut. Control, AC-27, 1982, pp. 104-113. 7. M. HEYMANN, Comments on pole assignment in multi-input controllable linear systems, IEEE Trans. Aut. Control, AC-13, 1968, pp. 748-749. 8. E. KAMEN, Lectures on algebraic system theory: Linear systems over commutative rings, NASA Contractor Report 3016, 1978. 9. E. KAMEN, Linear systems over rings: From R.

Regularity of the open loop system is not required. Proofs of the results are omitted here. Details of the theory are presented in [4]. 2. Definitions and Properties. The definitions of controllablility and observability for standard control systems can be extended to descriptor systems. Various types of controllablility /observability can be identified, however [27]. 4) under the following algebraic conditions: CO: rank[aE - ,8A, B] = n, V(a,,8) E C2\{(O, O)}; Cl : rank[AE - A, B] = n, VA E C; C2: rank[E,ASoo,B] = n, where the columns of Soo span N(E).

For a change of basis in the input space, this means adding a multiple of one column of B to another column of B. For a change of basis in the state space, this means adding a multiple of some row i of A to another row j of A, adding the same multiple of row i of B to row j of B, and subtracting the same multiple of column j of A from column i of A. The transformation (A, B) - + (A + BK, B) amounts to adding a column of B to a column of A. We are now in a position to give the result about "almost" controlcanonical forms for reachable systems over PID's.

Download PDF sample

Rated 4.13 of 5 – based on 11 votes