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Automatic Control, IEEE Transactions on

Issue 11 • Date November 1983

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Displaying Results 1 - 15 of 15
  • [Front cover and table of contents]

    Publication Year: 1983 , Page(s): 0
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    Freely Available from IEEE
  • Comments on "Efficient time propagation of U-D covariance factors

    Publication Year: 1983 , Page(s): 1061 - 1062
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (168 KB)  

    In a recent paper Bierman presented an efficient time propagation technique of the U - D covariance factors for the form \phi P\phi^{T} , when the transition matrix \Phi has a block triangular structure. This note contributes some useful remarks related to the paper, and also presents an efficient implementation of a similar technique for the form \Phi P \Phi ^{T}+ Q . View full abstract»

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  • Author's reply

    Publication Year: 1983 , Page(s): 1062 - 1063
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    First Page of the Article
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  • [Back cover]

    Publication Year: 1983 , Page(s): 0
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    Freely Available from IEEE
  • A lattice algorithm for factoring the spectrum of a moving average process

    Publication Year: 1983 , Page(s): 1051 - 1055
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (368 KB)  

    Triangular decomposition of the semi-infinite covariance matrix of a moving average process can be used as a spectral factorization technique. An efficient lattice algorithm is derived for performing the necessary computations. This technique is a special case of the fast Cholesky decomposition of stationary covariance matrices. The algorithm can be used to factor multichannel spectra to a desired degree of accuracy. View full abstract»

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  • Optimal flow control of a class of queueing networks in equilibrium

    Publication Year: 1983 , Page(s): 1001 - 1007
    Cited by:  Papers (29)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (480 KB)  

    The problem of optimum flow control of a class of queueing systems which appears as a model of datagram and virtual circuit computer communication networks is investigated. This class "intuitively" has the property that by increasing the load on the network, both the average throughput and the average time delay also increase. It is shown that the control that achieves the maximum throughput under a bounded average time delay criterion can be specified by a "window" flow control mechanism (bang-bang control). The window size L , the maximum number of unacknowledged packets in the system, can be easily derived from the preassigned upper bound on the time delay T , the Norton equivalent of the queueing system μ, and the maximum admissible total load on the network c . View full abstract»

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  • Ankle controls that produce a maximal vertical jump when other joints are locked

    Publication Year: 1983 , Page(s): 1008 - 1016
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (936 KB)  

    Recently, there have been a number of attempts to apply optimal control theory to the analysis of human and animal movement. Because normal movements are very complicated and difficult to analyze, an experimental task that is easier to model and analyze has been chosen. Experimental subjects were instructed to jump as high as possible while keeping their knee and hip joints fully extended and their arms above their heads. The experiment is modeled by a two-segment inverted pendulum that is to be propelled as high as possible by a torque exerted at the joint. This torque is created by a simplified model of joint torque production by muscle and is controlled by a muscle "activation." The resulting optimal control problem is solved and the solution compared to the experimental results. View full abstract»

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  • A method for constructing minimal linear-analytic realizations for polynomial systems

    Publication Year: 1983 , Page(s): 1036 - 1043
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (504 KB)  

    For a polynomial nonlinear system described in terms of regular transfer functions, the shift-realization approach to constructing minimal bilinear realizations is modified to yield a method for constructing minimal linear-analytic realizations. View full abstract»

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  • The Nash solution of an advertising differential game: Generalization of a model by Leitmann and Schmitendorf

    Publication Year: 1983 , Page(s): 1044 - 1048
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (528 KB)  

    In this paper the differential game between two profit maximizing firms considered in [15] is extended to the case of general (concave) effectiveness functions of advertising. For this model, a phase portrait analysis of Nash equilibrium solutions is carried out providing qualitative insights into the structure of optimal advertising rates. Applying this analysis to the Leitmann-Schmitendorf advertising model, we obtain more detailed information on the structure of the optimal controls. Moreover, Nash-optimal solutions are derived for infinite duration of the game. View full abstract»

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  • Multivariable feedback, sensitivity, and decentralized control

    Publication Year: 1983 , Page(s): 1030 - 1035
    Cited by:  Papers (28)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (648 KB)  

    In this paper the problem of sensitivity, reduction by feedback is studied and related to a problem of decentralized control. A plant will be represented by an N \times N matrix of frequency responses, which may be unstable or irrational. The object will be to find conditions on P(s) under which a diagonal feedback F(s) can make the sensitivity \parallel{I + P(s)F(s)}^{-1}\parallel arbitrarily small over some specified frequency interval [ -j\omega _{0}, j\omega _{0} ] without violating a global sensitivity, bound \parallel{I+ P(s)F(s)}^{-1}\parallel \leq M , ( M\geq some const. >1) for \Re (s) \geq 0 . It will be shown that such a diagonal feedback of the "high gain" type can be constructed whenever P^{-1}(s) is analytic in \Re (s)\geq 0, P(s) satisfies an attenuation condition near s = \infty , and P(s) approaches diagonal dominance at high frequencies. It will also be shown that these conditions on the plant can be interpreted as conditions for the existence of a decentralized wide-band control scheme. View full abstract»

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  • Inversion of z-transforms by solving appropriately formulated nonconstant coefficient difference equations

    Publication Year: 1983 , Page(s): 1057 - 1059
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (240 KB)  

    This note introduces a novel method for obtaining closed-form analytical solutions for the inverse Z -transform of functions in the class \exp(Q(z)) with Q(z) a polynomial. In the application considered here, the relevant difference equation turns out to be y(s + 1) = cy(s)+sey(s - 1), s \geq 1 , for which a complete solution is derived. View full abstract»

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  • Hamiltonian-type Lyapunov functions

    Publication Year: 1983 , Page(s): 1055 - 1057
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    A flexible and systematic way for the construction of Lyapunov functions which lends itself to the use of nonlinear programming techniques is presented. The class of Lyapunov functions obtained is shown to be energy functions (Hamiltonians) for an equivalent system. View full abstract»

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  • Hierarchical aggregation of linear systems with multiple time scales

    Publication Year: 1983 , Page(s): 1017 - 1030
    Cited by:  Papers (14)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1280 KB)  

    In this paper we carry out a detailed analysis of the multiple time scale behavior of singularly perturbed linear systems of the form \dot{x}^{\epsilon}(t) = A(\epsilon)x^{\epsilon}(t) where A(\epsilon) is analytic in the small parameter ε. Our basic result is a uniform asymptotic approximation to \exp A(\epsilon)t that we obtain under a certain multiple semistability condition. This asymptotic approximation gives a complete multiple time scale decomposition of the above system and specifies a set of reduced order models valid at each time scale. Our contribution is threefold. 1) We do not require that the state variables be chosen so as to display the time scale structure of the system. 2) Our formulation can handle systems with multiple ( > 2) time scales and we obtain uniform asymptotic expansions for their behavior on [ 0, \infty ]. 3) We give an aggregation method to produce increasingly simplified models valid at progressively slower time scales. View full abstract»

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  • A game-theoretic view of two processes using a single resource

    Publication Year: 1983 , Page(s): 1059 - 1061
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (272 KB)  

    Two processes are served on a first-come, first-serve basis by a single resource (server). The thinking and resource holding times of both processes are exponential with different parameters. It is proved that, under a scaling condition, no cooperation of the processes can improve both of their resource utilizations. View full abstract»

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  • Biasedness properties for a class of Kalman-like estimators

    Publication Year: 1983 , Page(s): 1048 - 1051
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (368 KB)  

    A model for observing the system state under multiplicative and additive noise conditions has been recently proposed to extend the well-known Kalman estimation theory. In the present correspondence we investigate the biasedness properties for the best linear recursive estimator of such a model, and discuss means for adjusting the generally nonzero bias term of the estimator. View full abstract»

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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

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Meet Our Editors

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