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IEEE Transactions on Automatic Control

Issue 1 • February 1975

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Displaying Results 1 - 25 of 60
  • [Front cover and table of contents]

    Publication Year: 1975, Page(s): 0
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  • Minimal dimension inverses of linear sequential circuits

    Publication Year: 1975, Page(s):42 - 52
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (707 KB)

    The concept of an elementary null sequence of a linear sequential circuit is introduced. Its properties are used to formulate a necessary and sufficient condition for the invertibility of a linear sequential circuit and to determine the minimal dimension of anL-delay inverse. A general method is given for constructing a minimal dimension inverse which utilizes the state description of t... View full abstract»

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  • On the calculation of the transfer function matrix

    Publication Year: 1975, Page(s):134 - 135
    Cited by:  Papers (6)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (207 KB)

    Given the state space realization{A,B,C}of a linear time-invariant multivariable dynamic system, a computational algorithm for calculating elements of the corresponding transfer function matrix is presented. The algorithm neither requires cofactor calculation, nor applies any state transformation. The only requirement is calculation of the coefficients of characteristic equations of giv... View full abstract»

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  • Generalization of Leverrier's algorithm to polynomial matrices of arbitrary degree

    Publication Year: 1975, Page(s): 136
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (87 KB)

    Leverrier's algorithm to find the determinant of (sI_{r}-A) is generalized to the polynomial matrices of arbitrary degree which are in the formI_{r}s^{n} + H_{n-1}s^{n-1} + ... + H_{1}s + H_{0}. View full abstract»

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  • Geometric interpretation of complex vectors arising in the frequency-domain analysis of multivariable systems

    Publication Year: 1975, Page(s):157 - 158
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (213 KB)

    It is shown that ann-dimensional vector whose components are complex numbers can be visualized as a plane ellipse in geometricn-space. The length and direction of a complex vector are interpreted in terms of the ellipse axes thus giving a deeper insight into the eigenstructure of system transfer matrices. The system characteristic ellipse is introduced and its application to ... View full abstract»

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  • Some new results in linear time-varying systems

    Publication Year: 1975, Page(s):159 - 161
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (266 KB)

    This correspondence presents some new results for linear time-varying systemsdot{x}(t)=A(t)x(t). These new results include, 1) an explicit necessary and sufficient condition of stability that can be determined directly by joint eigenvalues of two constant matrices, and 2) a new class of reducible systems which needs not be periodic, as is required in Floquet theory. View full abstract»

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  • Formulation of a definite class of Lyapunov functions

    Publication Year: 1975, Page(s):174 - 176
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (243 KB)

    The process presented in this correspondence will generate a Lyapunov function with a negative-definite time derivative for all systems in phase variable form which satisfy the conditions of Lyapunov's first method and one extra continuity condition. For annth-order system, in order to determine a set ofn - 1constants, the method requires a calculation of one inverse of a mat... View full abstract»

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  • Comments on "Estimation in linear delayed discrete-time systems with correlated state and measurement noises"

    Publication Year: 1975, Page(s):176 - 177
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (193 KB)

    In a recent paper, equations were derived for the state estimation and the error covariance of a linear discrete-time delayed system involving correlated noises. However, there appears to be a fundamental mistake in the procedure given and this is corrected. View full abstract»

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  • Comments on "A simplification of Jury's tabular form

    Publication Year: 1975, Page(s):177 - 178
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

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  • Author's reply

    Publication Year: 1975, Page(s): 178
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (88 KB)

    The author thanks Dr. Jury for his comments. The auxiliary constraints, based on evaluation of F(1) and F(-1), can be used to shorten the necessary computation, particularly in the singular cases. (In the nonsingular case, evaluation of F(1) and F(-1) is comparable to the steps saved in the tabular form.) It is to be noted, however, that the simplicity of the proposed method and the directness wit... View full abstract»

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  • Comments on "On the Routh-Hurwitz criterion"

    Publication Year: 1975, Page(s):178 - 179
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (153 KB)

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  • Author's reply

    Publication Year: 1975, Page(s): 179
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (84 KB)

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  • Author's reply

    Publication Year: 1975, Page(s): 180
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (88 KB)

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  • Comments on "On the simplification of linear systems"

    Publication Year: 1975, Page(s):180 - 181
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (167 KB)

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  • Author's reply

    Publication Year: 1975, Page(s): 181
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (98 KB)

    The author appreciates very much the comments on his work and the commenter's supplement of other important references related to the subject of system order reduction. With respect to the comment on the physical basis of the criterion he describes, the author maintains he has clearly stated in his article that the criterion is based on the philosophy that the low order model L(s) is chosen to app... View full abstract»

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  • [Back cover]

    Publication Year: 1975, Page(s): 0
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    Freely Available from IEEE
  • Output feedback stabilization and related problems-solution via decision methods

    Publication Year: 1975, Page(s):53 - 66
    Cited by:  Papers (131)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1384 KB)

    Given an unstable finite-dimensional linear system, the output feedback problem is, first, to decide whether it is possible by memoryless linear feedback of the output to stabilize the system, and, second, to determine a stabilizing feedback law if such exists. This paper shows how this and a number of other linear system theory problems can be simply reformulated so as to allow application of kno... View full abstract»

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  • Rapid estimation and detection scheme for unknown discretized rectangular inputs

    Publication Year: 1975, Page(s):142 - 144
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (232 KB)

    An algorithm to detect unknown discretized rectangular inputs and to estimate the state simultaneously, has been described in this note. The discretized rectangular input is represented by a sequence of equal magnitude inputs to the state. Four alternate hypotheses are formed at every stage of observation and Bayes risks are compared to determine the correct one. A minimum variance estimate of the... View full abstract»

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  • Optimal parameter selection by imbedding techniques

    Publication Year: 1975, Page(s):166 - 167
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (176 KB)

    Dynamical systems controlled only by parameters are often met in the study of chemical processes. Boltyanskii [1, p. 263] has given certain necessary conditions for the selection of optimal parameters. In this correspondence a computational procedure using the continuation method is presented, a two-point boundary-value problem of anticipative type is reduced to an initial value problem, and an ex... View full abstract»

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  • Input regularity of cascaded systems

    Publication Year: 1975, Page(s):120 - 123
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (368 KB)

    Necessary and sufficient conditions for the input regularity of a tandem connection of two multivariable systems are given. The results are specialized to the case of state-space equations, in which case input regularity is equivalent to controllability. Also the problem is considered whether the composite system can be made input regular by means of a suitable connection of the two subsystems. View full abstract»

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  • Backward-forward smoothing interpretation of the a posteriori process noise estimate

    Publication Year: 1975, Page(s):138 - 139
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

    The a posteriori discrete-time process noise estimate is interpreted as the combination of two independent estimates: the a priori estimate (which is white noise) and the optimum estimate based on the observations. Equivalence to previous formulations is demonstrated. View full abstract»

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  • Compensator design for linear multivariable systems

    Publication Year: 1975, Page(s):113 - 116
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    A configuration and an orderly procedure for the design of linear multivariable control systems are presented. This procedure employs transfer function matrices to specify the system response to set point changes and disturbances. Neither a state-variable formulation nor solution of the matrix Riccati equation are required. The design procedure is illustrated by a simple example involving an unsta... View full abstract»

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  • On the computation of optimal stochastic observer gains

    Publication Year: 1975, Page(s):145 - 146
    Cited by:  Papers (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (192 KB)

    The design of a reduced-order continuous-time optimal stochastic observer has been based on the solution of a full-order covariance equation which restricts the implementation benefits of the reduced-order estimator. In this correspondence, it is shown that the gains of the reduced-order observer can be obtained by solving a reduced-order covariance equation, thus gaining the benefits of the reduc... View full abstract»

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  • Improved convergence of Lyapunov model reference adaptive systems by a parameter misalignment function

    Publication Year: 1975, Page(s):132 - 134
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (280 KB)

    A modified approach is presented for the design of Lyapunov model reference adaptive systems. The approach introduces the use of a function of the parameter misalignment, which can be generated with minor demands for additional hardware. Simulation confirms the acceleration in convergence of the system error compared to previous design procedures. View full abstract»

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  • An extension of Bass' algorithm for stabilizing linear continuous constant systems

    Publication Year: 1975, Page(s):153 - 154
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (200 KB)

    A stabilization algorithm of Bass originally developed for controllable systems is extended to include systems which are stabilizable. 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