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Circuits and Systems, IEEE Transactions on

Issue 11 • Date November 1980

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Displaying Results 1 - 14 of 14
  • Editorial

    Publication Year: 1980 , Page(s): 981 - 982
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    Freely Available from IEEE
  • On the stability and well-posedness of interconnected nonlinear dynamical systems

    Publication Year: 1980 , Page(s): 1097 - 1101
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (661 KB)  

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  • On the response of nonlinear multivariable interconnected feedback systems to periodic input signals

    Publication Year: 1980 , Page(s): 1088 - 1097
    Cited by:  Papers (5)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1080 KB)  

    In this paper, we study the response of a large class of nonlinear multivariable feedback systems to periodic input signal. Specifically, we study the existence, uniqueness, boundedness, and periodicity of a large class of feedback systems which may be modeled by means of a class of Volterra integral equations (including delay systems). We also study the distortion effects in such systems due to n... View full abstract»

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  • Hierarchical stability and alert state steering control of interconnected power systems

    Publication Year: 1980 , Page(s): 1102 - 1112
    Cited by:  Papers (21)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1280 KB)  

    A state-space model of an interconnected power system having both generator and load nodes is proposed. The resulting system of equations is interpreted as the degenerate limit of a singularly perturbed system. The model is used to derive a condition for the (local) asymptotic stability of an equilibrium. This condition decomposes in an intuitive way for subsystems interconnected via a backbone ne... View full abstract»

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  • Device modeling via nonlinear circuit elements

    Publication Year: 1980 , Page(s): 1014 - 1044
    Cited by:  Papers (73)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (3792 KB)  

    Two basic approaches to device modeling are presented. The physical approach consists of 4 basic steps: 1) device physics analysis and partitioning, 2) physical equation formulation, 3) equation simplification and solution, and 4) nonlinear network synthesis. The black-box approach consists also of 4 basic steps: 1) experimental observations, 2) mathematical modeling, 3) model validation, and 4) n... View full abstract»

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  • A nonlinear state decomposition

    Publication Year: 1980 , Page(s): 1113 - 1121
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    An axiomatic state model for nonlinear operators on a Hilbert resolution space is constructed. We use it to show that the structure (transition operators and isomorphism theorems) of nonlinear operators has much in common with that of linear operators. In addition to the structure, the principle of optimality is shown to carry over. View full abstract»

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  • Chaotic motion in nonlinear feedback systems

    Publication Year: 1980 , Page(s): 990 - 997
    Cited by:  Papers (31)
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    New criteria are found which imply the existence of chaos in R^n . These differ significantly from criteria previously reported in the mathematics literature, and in fact our methods apply to a class of systems which do not satisfy the hypotheses of the usual theorems on chaos in R^n . The results are stated in such a way ... View full abstract»

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  • Global inverse function theorems

    Publication Year: 1980 , Page(s): 998 - 1004
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (984 KB)  

    It is often of interest to determine whether it is possible to invert a given mapping f of one subset of R^n into another. This paper reports on a collection of pertinent results and related material. We first prove a theorem which is used in latter sections of the paper. It provides several characterizations of a homeomorph... View full abstract»

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  • On the topology of FET circuits and the uniqueness of their dc operating points

    Publication Year: 1980 , Page(s): 1045 - 1051
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (808 KB)  

    We show here how to prove several results which make it possible to deduce whether or not many common FET circuits can possess more than one, or only one, dc operating point, as a consequence of their topological structure alone. These results extend to FET circuits some similar results which have recently been proved for circuits containing bipolar transistors. View full abstract»

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  • Constructive stability and asymptotic stability of dynamical systems

    Publication Year: 1980 , Page(s): 1121 - 1130
    Cited by:  Papers (76)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1168 KB)  

    In an earlier paper, the authors presented an algorithm for constructing a Liapunov function for a dynamical system. In this paper, we present theorems which allow the algorithm to be used In proving the asymptotic stability of dynamical systems, both difference and differential equations. The notion of an asymptotically stable set of matrices is introduced, and is shown to be a sufficient conditi... View full abstract»

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  • Dynamic nonlinear networks: State-of-the-art

    Publication Year: 1980 , Page(s): 1059 - 1087
    Cited by:  Papers (51)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (3568 KB)  

    This paper surveys the state-of-the-art of the qualitative aspects of nonlinear RLC networks. The class of networks being surveyed may contain multi-terminal and multi-port RESISTORS, INDUCTORS, AND CAPACITORS, as well as dc and time-dependent voltage and current sources. The concepts of impasse points and local solvability are introduced and shown to be of fundamental importance in modeling a phy... View full abstract»

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  • Dynamics of the Van der Pol equation

    Publication Year: 1980 , Page(s): 983 - 989
    Cited by:  Papers (13)
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    This paper is a review of approaches to understanding "chaotic" dynamics in the forced Van der Pol equation. In addition, it discusses the phenomena of entrainment and phase locking from the point of view of dynamical systems theory. There are two principal regions of the parameter space where chaotic motion has been analyzed. The first occurs in a nearly linear system near resonance. Here one use... View full abstract»

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  • Nonlinear networks and Onsager-Casimir reversibility

    Publication Year: 1980 , Page(s): 1051 - 1058
    Cited by:  Papers (12)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (816 KB)  

    Time-invariant networks composed of transformers, linear resistors, and nonlinear reactive elements are studied, and it is shown that the usual noise model for the resistors implies that in an inductorless network, the capacitor charges have, as random processes, a microscopic reversibility property, and more generally, the capacitor charges and inductor fluxes have a generalized reversibility pro... View full abstract»

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  • A best approximation framework and implementation for simulation of large-scale nonlinear systems

    Publication Year: 1980 , Page(s): 1005 - 1014
    Cited by:  Papers (42)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1144 KB)  

    A conceptual and mathematical framework is presented for optimally approximating a large-scale continuous-time-parameter nonlinear dynamical system S_C by a continuous-time-parameter model \hat{S}_C as well as a discrete-time-parameter model \hat{S}_D , which can be readily simul... View full abstract»

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