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IEEE Transactions on Automatic Control

Issue 4 • August 1975

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Displaying Results 1 - 25 of 45
  • [Front cover and table of contents]

    Publication Year: 1975, Page(s): 0
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    Freely Available from IEEE
  • Awards

    Publication Year: 1975, Page(s): 453
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    Freely Available from IEEE
  • A synthesis theory for linear time-varying feedback systems with plant uncertainty

    Publication Year: 1975, Page(s):454 - 464
    Cited by:  Papers (35)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1124 KB)

    Given a feedback system containing a linear, time-varying (LTV) plant with significant plant uncertainty, it is required that the system response to command and disturbance inputs satisfy specified tolerances over the range of plant uncertainty. The synthesis procedure guarantees the latter satisfied, providing that they are of the following form. Leth(t',tau)be the system response at... View full abstract»

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  • Pole assignment by gain output feedback

    Publication Year: 1975, Page(s):509 - 516
    Cited by:  Papers (320)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (746 KB)

    This short paper deals with the problem of pole assignment with incomplete state observation. It is shown that if the system is controllable and observable, and ifn leq r + m - 1, an almost arbitrary set of distinct closed-loop poles is assignable by gain output feedback, wheren, r, andmare the numbers of state variables, inputs and outputs, respectively. This resu... View full abstract»

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  • On pole assignment in linear multivariable systems using output feedback

    Publication Year: 1975, Page(s):516 - 518
    Cited by:  Papers (148)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (347 KB)

    The general problem of pole assignment in a linear, time-invariant multivariable system via output feedback is considered. It is shown that given a controllable-observable system (C,A,B) in whichA in R^{n times n}, rankB = m, rankC = r, then for almost all (B,C) pairs,min (n,m + r-1)poles can be assigned arbitrarily close to... View full abstract»

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  • On the stability of theAmatrix inside the unit circle

    Publication Year: 1975, Page(s):533 - 535
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (297 KB)

    In this short paper several theorems related to the necessary and sufficient conditions for the characteristic roots (eigenvalues) of a matrixAto lie inside the unit circle are presented. In particular, the following conditions are proved. 1) Linear combinations biof the coefficients of λiin View full abstract»

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  • On the factorization of discrete-time rational spectral density matrices

    Publication Year: 1975, Page(s):535 - 537
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (289 KB)

    For a discrete-time rational spectral density matrixPhi(z), the relationship between the factorizationsPhi(z) = Z(z) + Z^{T} (z^{-1})andPhi(z) = W(z)QW^{T}(z), in terms of minimal state space realizations ofZ(z)andW(z), are derived in a straightforward way, without resorting to the use of the bilinear transformation. The obvious application of... View full abstract»

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  • Optimal control of multiplicative control systems arising from cancer therapy

    Publication Year: 1975, Page(s):537 - 542
    Cited by:  Papers (33)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (560 KB)

    This study deals with ways of curtailing the vapid growth of cancer cell populations. The performance functional that measures the size of the population at the terminal time as well as the control effort is devised. With use of the discrete maximum principle, the Hamiltonian for this problem is determined and the condition for optimal solutions are developed. The optimal strategy is shown to be a... View full abstract»

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  • Multirate sampled-data systems analysis via vector operators

    Publication Year: 1975, Page(s):548 - 551
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (320 KB)

    The primary difficulties of both the time-domain switch decomposition method and the frequency-domain decomposition method are overcome by introducing certain matrix operators and performing spectral factorization of resulting matrices of polynomials in thez-transform variable. Topological operations of the switch-decomposition method are simplified. This new approach eliminates the nee... View full abstract»

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  • New equations for the time-dependent regulator problem

    Publication Year: 1975, Page(s): 558
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (122 KB)

    This correspondence presents a derivation of an alternate set of equations for determination of the optimal feedback gain matrix for the time-dependent linear regulator problem. In contrast to the usual Riccati equation approach, the new system is composed of onlynmequations, wheremis the number of systems input terminals. As payment for this reduction in number of equations,... View full abstract»

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  • Comments on "Luenberger's canonical form revisited

    Publication Year: 1975, Page(s):558 - 559
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (203 KB)

    The purpose of this note is to point out an error in the proof of the main result given in the above paper. View full abstract»

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  • Author's reply

    Publication Year: 1975, Page(s): 559
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (101 KB)

    First Page of the Article
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  • The numerical solution ofX = A_{1}X + XA_{2} + D, X(0) = C

    Publication Year: 1975, Page(s):566 - 567
    Cited by:  Papers (22)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (186 KB)

    The numerical solution of the general matrix differential equationdot{X} = A_{1}X + XA_{2} + D, X(0) = CforXis considered where A1and A2are stable matrices. The algorithm proposed requires only8n^{2}words of memory (for largen) and converges in approximately50n^{3} mus where μ is the multiplication time of the digita... View full abstract»

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  • On the design of observers with specified eigenvalues

    Publication Year: 1975, Page(s):568 - 570
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (256 KB)

    This correspondence considers the problem of designing an observer with specified distinct eigenvalues to estimate a set of linear state functionals for a linear multivariable system. The conditions given for the design of anrth-order observer, wherer leq nu_{0} - 10is the observability index), represent an extension of the results of Murdoch [3] and Fortman... View full abstract»

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  • Conditions for a feedback transfer function matrix to be proper

    Publication Year: 1975, Page(s):570 - 571
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (191 KB)

    Given rational matrixhat{G}(s)and a constant matrixK, necessary and sufficient conditions are given for the ration matrixhat{H}(s) = hat{G}(s) [I + Khat{G}(s)]^{-1}to be proper. View full abstract»

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  • On a conjecture by Šiljak

    Publication Year: 1975, Page(s):572 - 573
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (185 KB)

    Results are given on the specification of the conditions a matrixAmust satisfy for the existence of the real symmetric positive definite matricesHandG. This represents a generalization of the two conjectures given by Siljak in order to make effective use of a result that requires the existence of these matrices for a given matrixA. View full abstract»

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  • Author's reply

    Publication Year: 1975, Page(s): 582
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (89 KB)

    First Page of the Article
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  • Comments on "Eigenvectors in modal control"

    Publication Year: 1975, Page(s): 582
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (89 KB)

    First Page of the Article
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  • Stochastic economics [Book Reviews]

    Publication Year: 1975, Page(s):583 - 585
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    Freely Available from IEEE
  • Frequency domain criteria for absolute stability [Book Reviews]

    Publication Year: 1975, Page(s): 583
    Cited by:  Papers (1)
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    Freely Available from IEEE
  • [Back cover]

    Publication Year: 1975, Page(s): 0
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    Freely Available from IEEE
  • Square-root algorithms for least-squares estimation

    Publication Year: 1975, Page(s):487 - 497
    Cited by:  Papers (131)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (952 KB)

    We present several new algorithms, and more generally a new approach, to recursive estimation algorithms for linear dynamical systems. Earlier results in this area have been obtained by several others, especially Potter, Golub, Dyer and McReynolds, Kaminski, Schmidt, Bryson, and Bierman on what are known as square-root algorithms. Our results are more comprehensive. They also show bow constancy of... View full abstract»

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  • Observers for systems characterized by semigroups

    Publication Year: 1975, Page(s):523 - 528
    Cited by:  Papers (52)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (568 KB)

    The theory of observers is generalized from finite dimensional linear systems to abstract linear systems characterized by semigroups on Banach spaces. Sufficient conditions are given for both identity and reduced-order observers to exist for the abstract system. It is shown that the spectrum of a closed-loop control system using an observer is the union of the spectrum of the observer and the spec... View full abstract»

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  • On the computation of the generalized Vandermonde matrix inverse

    Publication Year: 1975, Page(s):559 - 561
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

    Starting from the procedure described in [1], a modified method for finding the inverse of the Vandermonde matrix is presented. View full abstract»

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  • Disturbance localization in linear systems with simultaneous decoupling, pole assignment, or stabilization

    Publication Year: 1975, Page(s):518 - 523
    Cited by:  Papers (26)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (632 KB)

    For a class of constant linear dynamic systems with unmeasurable disturbances, geometric necessary and sufficient conditions are derived for the existence of a state-feedback controller that localizes the disturbances and simultaneously assigns the closed-loop poles or decouples the closed-loop system. These conditions are simple, intuitively appealing, and closely related to the known necessary a... 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