Implicit Linear Systems

J. Dwight Aplevich

ISBN 10: 3540535373 / ISBN 13: 9783540535379

Published by Springer Berlin Heidelberg Mrz 1991, 1991

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -These notes are an introduction to implicit models of linear dynamical systems, with applications to modelling, control system design, and identification, intended for control-system engineers at the beginning graduate level. Because they are non-oriented, the models are particularly useful where causality is unknown or may change. They are implicit in all variables and closed under the algebraic operations, and hence are useful for computer-aided analysis and design. They possess the vector-matrix conceptual simplicity and computational feasibility of state-space equations, together with the generality of matrix-fraction descriptions, and admit of canonical forms for which the joint identification of system parameters and dynamic variables is linear. The notes simplify, generalize, and complement much recent work on 'singular' or 'descriptor' models, but do not duplicate it. Sections are included on realizations, canonical forms, minimal representations, algebraic design applications, quadratic optimization, identification, large-scale systems, and extensions to multi-dimensional and time-varying systems. 196 pp. Englisch.

Seller Inventory # 9783540535379

Bibliographic Details

• Title: Implicit Linear Systems
• Publisher: Springer Berlin Heidelberg Mrz 1991
• Publication Date: 1991
• Language: English
• ISBN 10: 3540535373
• ISBN 13: 9783540535379
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 11D millimeters 244 millimeters width by 170 millimeters height by 11 millimeters depth
• Weight: 349 grams

About this title

Synopsis

These notes are an introduction to implicit models of linear dynamical systems, with applications to modelling, control system design, and identification, intended for control-system engineers at the beginning graduate level. Because they are non-oriented, the models are particularly useful where causality is unknown or may change. They are implicit in all variables and closed under the algebraic operations, and hence are useful for computer-aided analysis and design. They possess the vector-matrix conceptual simplicity and computational feasibility of state-space equations, together with the generality of matrix-fraction descriptions, and admit of canonical forms for which the joint identification of system parameters and dynamic variables is linear. The notes simplify, generalize, and complement much recent work on "singular" or "descriptor" models, but do not duplicate it. Sections are included on realizations, canonical forms, minimal representations, algebraic design applications, quadratic optimization, identification, large-scale systems, and extensions to multi-dimensional and time-varying systems.