By Topic

IEEE Transactions on Automatic Control

Issue 5 • October 1972

Filter Results

Displaying Results 1 - 25 of 62
  • [Front cover and table of contents]

    Publication Year: 1972, Page(s): 0
    Request permission for commercial reuse | PDF file iconPDF (159 KB)
    Freely Available from IEEE
  • The inverse of the confluent Vandermonde matrix

    Publication Year: 1972, Page(s):724 - 725
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (187 KB)

    Formulas are derived for the components of the inverse of the general confluent Vandermonde matrix for confluences of arbitrary order. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Comments on a multiplier condition for problems with state variable inequality constraints

    Publication Year: 1972, Page(s):743 - 744
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (204 KB)

    This correspondence points out that a widely quoted necessary condition on the Lagrange multiplier associated with a first-order state variable inequality constraint is not equivalent to Gamkrelidze's multiplier condition. An example is given of a problem for which the latter stronger condition is required to determine optimal trajectories. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Correction to "The inverse for the real similarity transform of a companion matrix"

    Publication Year: 1972, Page(s): 743
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (91 KB)

    First Page of the Article
    View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Comments on "The stability of multivariable systems"

    Publication Year: 1972, Page(s): 745
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (79 KB)

    First Page of the Article
    View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Introduction to linear system theory

    Publication Year: 1972, Page(s):748 - 749
    Request permission for commercial reuse | PDF file iconPDF (340 KB)
    Freely Available from IEEE
  • [Back cover]

    Publication Year: 1972, Page(s): 0
    Request permission for commercial reuse | PDF file iconPDF (149 KB)
    Freely Available from IEEE
  • Infinite time reachability of state-space regions by using feedback control

    Publication Year: 1972, Page(s):604 - 613
    Cited by:  Papers (102)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1136 KB)

    In this paper we consider some aspects of the problem of feedback control of a time-invariant uncertain system subject to state constraints over an infinite-time interval. The central question that we investigate is under what conditions can the state of the uncertain system be forced to stay in a specified region of the state space for all times by using feedback control. At the same time we stud... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • The output control of linear time-invariant multivariable systems with unmeasurable arbitrary disturbances

    Publication Year: 1972, Page(s):621 - 630
    Cited by:  Papers (148)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (760 KB)

    Necessary and sufficient conditions are derived for a minimal order linear time-invariant differential feedback control system to exist for a linear time-invariant multivariable system with unmeasurable arbitrary disturbances of a given class occurring in it, such that the outputs of the system asymptotically become equal to preassigned functions of a given class of outputs, independent of the dis... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Uncontrollability and unobservability of multivariable systems

    Publication Year: 1972, Page(s):725 - 726
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    The uncontrollability and unobservability of linear time-invariant multivariable control systems is investigated. A simple test based on the properties of the minimal polynomial yields the suffcient conditions for uncontrollability and unobservability. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Extension of analytical design techniques to multivariable feedback control systems

    Publication Year: 1972, Page(s):613 - 620
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (728 KB)

    Analytical design techniques are developed for multivariable feedback control systems. The design includes a saturation constraint and provides for a disturbance at the system output and additive noise at the system input. The system inputs (signal, noise, and disturbance) are assumed to be generated by independent, stationary, stochastic processes that are adequately represented by rational power... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On a triangle inequality used in Lyapunov function construction

    Publication Year: 1972, Page(s): 721
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (144 KB)

    The method for constructing Lyapunov functions using the Okamura function is shown to be missing a crucial step. The proof of this step, which uses the classical "smoothing of the corners" concept, is given. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Stochastic approximation algorithms for the local optimization of functions with nonunique stationary points

    Publication Year: 1972, Page(s):646 - 654
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (936 KB)

    The aim of this paper is the provision of a framework for a practical stochastic unconstrained optimization theory. The results are based on certain concepts of stochastic approximation, although not restricted to those procedures, and aim at incorporating the great flexibility of currently available deterministic optimization ideas into the stochastic problem, whenever optimization must be done b... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Sample stability of second-order stochastic differential equations with nonsingular phase diffusion

    Publication Year: 1972, Page(s):706 - 707
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (224 KB)

    Almost sure sample stability boundaries are obtained in explicit form for specific linear and nonlinear second-order stochastic differential equations with nonsingular phase diffusion. The results are compared with first- and second-moment stability boundaries. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the identifiability of parameters

    Publication Year: 1972, Page(s):637 - 646
    Cited by:  Papers (66)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1008 KB)

    A precise definition of identifiability of a parameter is given in terms of consistency in probability for the parameter estimate. Under some mild Uniformity assumptions on the conditional density parameterized by the unknown parameter, necessary and sufficient conditions for the unknown parameter to be identifiable are established. The assumptions and identifiability criteria are expressed in ter... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Two results on optimal modeling with differential-delay systems

    Publication Year: 1972, Page(s):678 - 680
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (352 KB)

    Let G(i\omega ) be a fixed causal filter. The first result of this paper shows that for any positive integer k and any delay time T > 0 there is an "optimal model" for G(i\omega ) out of the class of differential-delay systems of order View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • A new control approach using the inverse system

    Publication Year: 1972, Page(s):698 - 702
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (480 KB)

    A novel control scheme is presented. It utilizes the inverse system concept along with the basic structure of the conventional model following control scheme. It is a direct approach that does not involve any optimization and is simple to apply. The scheme is illustrated by several examples. An extension of this scheme to adaptive control is suggested and areas for further research are indicated. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Decision surface estimate of nonlinear system stability domain by Lie series method

    Publication Year: 1972, Page(s):666 - 669
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (464 KB)

    The Lie series recursive algorithm for Zubov's partial differential equation is used to generate two sets of points, where one represents the exact asymptotic stability boundary of an equilibrium state of the nonlinear system under consideration and the other is interior to it. Based on these two sets of data as training samples of two classes, a decision hypersurface can be determined such that i... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On the algorithms for computing the zeros of large systems

    Publication Year: 1972, Page(s):731 - 732
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    In this correspondence, various methods for the computation of the zeros in large-scale systems are briefly reviewed to point out the differences between these approaches and a novel one that is briefly summarized. This last one is particularly effective in that it decomposes the system into subsystems of minimal dimension, describing the dynamical behavior between the considered input and output ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • On controllability of linear systems with time delays in control

    Publication Year: 1972, Page(s):664 - 666
    Cited by:  Papers (39)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    The problems of controllability of linear processes with time delays described by the differential equation \dot{x}(t) = A(t)x(t) + \sum \min{i=0}\max {k} B_{i}(t)u(t-h_{i} and satisfied in Euclidean space Rnare considered. The necessary and sufficient conditions for controllability, using the transition matrix of the process, are given. By the add... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Biomedical engineering systems

    Publication Year: 1972, Page(s):746 - 747
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (352 KB)

    First Page of the Article
    View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Limit cycles in digital filters

    Publication Year: 1972, Page(s):675 - 677
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (312 KB)

    A study is made of the nonlinear phenomenon of limit cycles in digital filters implemented using fixed point arithmetic with product rounding. By investigating individually the different types of limit cycles, bounds are derived on the coefficients for second-order filters in the direct and canonic form that are more efficient than earner bounds. Then the results are extended to filters connected ... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Optimal control of linear systems with time-varying lags

    Publication Year: 1972, Page(s):741 - 742
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    Systems whose dynamics and controls contain time-varying lags are formulated as a set of linear hyperbolic systems and a functional differential equation. Quadratic cost functionals are used in the optimal control analysis. The optimal control is given by a linear transformation on the current state, delayed state, and delayed control. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Some numerical results using Kalaba's new approach to optimal control and filtering

    Publication Year: 1972, Page(s):713 - 715
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (304 KB)

    Numerical results are given comparing Kalaba's new approach with a classical method for evaluating a simple optimal control problem. Kalaba's new approach is to convert the optimal control problem directly into an initial-value problem without utilizing the Euler equations, Pontryagin's maximum principle, or the principle of optimality. The classical method utilizes the calculus of variations to o... View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.
  • Approaches to adaptive filtering

    Publication Year: 1972, Page(s):693 - 698
    Cited by:  Papers (310)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (600 KB)

    The different methods of adaptive filtering are divided into four categories: Bayesian, maximum likelihood (ML), correlation, and covariance matching. The relationship between the methods and the difficulties associated with each method are described. New algorithms for the direct estimation of the optimal gain of a Kalman filter are given. View full abstract»

    Full text access may be available. Click article title to sign in or learn about subscription options.

Aims & Scope

In the IEEE Transactions on Automatic Control, the IEEE Control Systems Society publishes high-quality papers on the theory, design, and applications of control engineering.  Two types of contributions are regularly considered

Full Aims & Scope

Meet Our Editors

Editor-in-Chief
P. J. Antsaklis
Dept. Electrical Engineering
University of Notre Dame