Journal ArticleDOI
Matrix signal flow graphs and an optimum topological method for evaluating their gains
D. Riegle,P.M. Lin +1 more
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In this article, an optimum topological method for matrix signal flow graphs is presented, in which the gain expression has the minimum number of distinct inverses, and is obtained from the structure of the graph without graph reductions.Abstract:
Some properties of matrix signal flow graphs are investigated and an optimum topological method for evaluating the graph gains is presented. The method is optimum in the sense that the gain expression has the minimum number of distinct inverses. It is topological in the sense that the gain expression is obtained from the structure of the graph without graph reductions.read more
Citations
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Flowgraph analysis of large electronic networks
TL;DR: A hierarchical decomposition approach is realized using the so-called upward analysis of the decomposed network, which allows fully symbolic network formulas to be obtained in time linearly proportional to the size of the network.
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Input-output stability theory of interconnected systems using decomposition techniques
TL;DR: In this article, the authors study the input-output stability of arbitrary interconnections of nonlinear, time-varying, multivariable subsystems which may be either continuous-time or discrete-time.
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Input-output stability of interconnected systems using decompositions: An improved formulation
TL;DR: In this paper, the authors studied the input-output stability of an arbitrary interconnection of multi-input, multi-output subsystems which may be either continuous-time or discrete-time.
Journal ArticleDOI
The bordered triangular matrix and minimum essential sets of a digraph
Lap-Kit Cheung,Ernest S. Kuh +1 more
TL;DR: The problem of transforming a nonsingular matrix by symmetric permutation to an optimal bordered triangular form (BTF) is solved and it is shown that the problem is equivalent to the determination of a minimum essential set of a directed graph.
Proceedings ArticleDOI
Hierarchial modeling of manufacturing systems using max-plus algebra
Aleksey Imaev,Robert P. Judd +1 more
TL;DR: A novel approach to model any deterministic manufacturing system using a function block diagram type of model expressed as a system of linear event timing equations using max-plus algebra.
References
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Journal ArticleDOI
Feedback Theory-Some Properties of Signal Flow Graphs
TL;DR: A study of the topological properties of such graphs leads to techniques which have proven useful, both for the discussion of the general theory of feedback and for the solution of practical analysis problems.
Journal ArticleDOI
Feedback Theory-Further Properties of Signal Flow Graphs
TL;DR: A way to enhance writing gain at a glance as discussed by the authors is to use the phrase "pray not frustrative" as a way to describe the goal of a sentence in a paragraph.
Book
Theory of Linear Active Networks
Ernest S. Kuh,R.A. Rohrer +1 more
TL;DR: Powdered acidophil fermented milk products that can be readily reconstituted are prepared by spray drying milk which has been fermented withacidophil bacteria to produce a powdered product and agglomerating the powdered product.