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IEEE Transactions on Automatic Control

Issue 1 • February 1977

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Displaying Results 1 - 25 of 48
  • [Front cover and table of contents]

    Publication Year: 1977, Page(s): 0
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    Freely Available from IEEE
  • Postural stability of two biped models via Lyapunov second method

    Publication Year: 1977, Page(s):66 - 70
    Cited by:  Papers (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (418 KB)

    In biped locomotion, postural stability about vertical stance is of practical significance. Three problems related to postural stability are discussed here. Estimates of the region in the vicinity of vertical stance, where the biped model with linear feedback is stable, are derived. A method of designing nonlinear feedback is developed in which the combination of linear and nonlinear feedback prov... View full abstract»

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  • On a certain class of nonlinear control systems

    Publication Year: 1977, Page(s):119 - 121
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (280 KB)

    Nonlinear systems of the following type (I):dot{x}_{i} = Sigmamin{j=1}max{n} (a_{ij} + kdotb_{ij})dotx_{j} + Sigmamin{j=1}max{p} d_{ij}dotu_{j} + Sigmamin{j,k=1}max{n} n_{ijk}dotx_{j}dotx_{k} + Sigmamin{j,k,l=1} m_{ijkl}dotx_{j}dotx_{k}dotx_{l} (kinR^{1},kfeedback factor,i = 1,...,n) have recently been investigated from the point of view of practical stability [1]. This note ... View full abstract»

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  • Robust solutions of perturbed linear equations

    Publication Year: 1977, Page(s):123 - 124
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (166 KB)

    A perturbed system of linear equalitieslangle a_{i},x rangle = b_{i}, i = 1,2,...,n;a_{i} inA_{i};b_{i},inB_{i};xinX(the sets Aiand the intervals Biprescribed a priori) is said to be robust if a solution vectorx_{0}inXcan be found resulting inlangle a_{i},x_{0}rangle in B_{i}for alla_{i} inA_{i}and alli = 1, 2,...,n. A nu... View full abstract»

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  • An extension on a reformulation of the algebraic riccati equation problem

    Publication Year: 1977, Page(s):128 - 129
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (178 KB)

    In a recent paper [1], a reformulation of the algebraic Riccati equation problem has been introduced when the system has only real roots and under the hypothesis that certain restrictions on the choice of the synthetic output matrixCare fulfilled. In this note the formulation is extended to a wider class of Riccati problems. View full abstract»

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  • An algorithm to compute canonical forms in multivariable control systems

    Publication Year: 1977, Page(s):129 - 132
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (309 KB)

    A simple algorithm is presented in this correspondence to compute the nonfixed elements in the canonical forms (sim{A}, sim{B}, sim{C}) associated with the matrix triple (A,B,C) in a completely controllable and completely observable time invariant dynamical systems. View full abstract»

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  • Matrices satisfying Siljak's conjecture

    Publication Year: 1977, Page(s):132 - 133
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (195 KB)

    Siljak's conjecture on the existence of a symmetric positive definite matrixHhaving a specified structure and satisfying matrix equationHA + A^{T}H = - W, is shown to be true in cases whenAis a companion matrix of a polynomial,Ais a Schwarz matrix andAis a nonderogatory matrix in its Routh-canonical form, by actually constructing the matrix View full abstract»

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  • Output feedback decoupling and pole placement in linear time-invariant systems

    Publication Year: 1977, Page(s):142 - 143
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (176 KB)

    The question of closed-loop pole placement for linear multivariable systems decoupled by output feedback is considered. The class of decoupling feedback matrices is extended to include those which are proper functions ofs. This result insures that all uncancelled poles of the resulting closed-loop system can be reassigned to any desired location by suitable choice of the feedback matrix... View full abstract»

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  • Decoupling of multivariable systems using output feedback

    Publication Year: 1977, Page(s):146 - 149
    Cited by:  Papers (7)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (290 KB)

    Decoupling of linear, time-invariant multivariable systems described by a rectangular transfer function matrixT(s), using linear output feedback into single input-multioutput (SIMO) subsystems is analyzed. A set of necessary and sufficient conditions is derived through the structure of the desired transfer function matrix. View full abstract»

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  • Comments on "Linear systems and nonunity feedback"

    Publication Year: 1977, Page(s):150 - 151
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (197 KB)

    In the above paper generalized error coefficients were defined with respect to an equivalent transfer function for nonunity feedback systems. The inadequacy of the accepted definition of error in a particular situation and the distinction between the actuating error and system error in view of the nonunity feedback are brought to the fore in this correspondence. The most general definition of erro... View full abstract»

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  • Comments and corrections to "Optimization with trajectory sensitvity considerations"

    Publication Year: 1977, Page(s): 151
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (106 KB)

    First Page of the Article
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  • [Back cover]

    Publication Year: 1977, Page(s): 0
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    Freely Available from IEEE
  • Output feedback stabilization using a global method for solving polynomial inequalities

    Publication Year: 1977, Page(s):112 - 115
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (384 KB)

    Through the use of a symbolic computer language, a set of multivariable polynomial inequalities are generated using the Lienard-Chipart criterion. These inequalities represent the output feedback stabilization problem. If a solution exists, it is a member of an open set. Utilizing this fact, a method for solving these inequalities that has a global convergence property is formulated by incorporati... View full abstract»

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  • Inherent errors in asynchronous, redundant digital flight controls

    Publication Year: 1977, Page(s):60 - 66
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (648 KB)

    In current aerospace research, redundant digital computers, operating asynchronously for low cost and high reliability, are being considered for the control of high-performance aircraft. Asynchronous sampling in the control loops leads to inherent errors even under normal, failure-free operation. Such errors are defined and characterized by a useful approximation, and state equations are derived f... View full abstract»

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  • Controllability of a class of discrete time bilinear systems

    Publication Year: 1977, Page(s):78 - 83
    Cited by:  Papers (61)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (504 KB)

    In this paper the controllability of a class of discrete time bilinear systems is discussed. Necessary and sufficient conditions for complete controllability are derived. In addition a complete characterization of the controllable regions of this class of systems, when not completely controllable, is made. View full abstract»

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  • Gauss quadrature estimators

    Publication Year: 1977, Page(s):70 - 73
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    This paper presents an alternative method in dealing with nonlinear estimation problems. The principle is to approximate the integration of the conditional densities by using Gauss quadrature formulas and to set up the grid for the current filtering density simultaneously. The grid is centered at the filtering mean. The region where the grid locates is changed according to the conditional distribu... View full abstract»

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  • Robust properties of solutions to linear-quadratic estimation and control problems

    Publication Year: 1977, Page(s):138 - 139
    Cited by:  Papers (10)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (264 KB)

    In this note we demonstrate a minimax robustness property for linear-quadratic estimation and control problems and discuss the importance of this result as well as the relevance of the general philosophy of robust design in estimation and control. View full abstract»

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  • The broader automatic control community

    Publication Year: 1977, Page(s): 1
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (128 KB)

    First Page of the Article
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  • The interrelationship between observers and system sensitivity

    Publication Year: 1977, Page(s):144 - 146
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (288 KB)

    System observer theory and system sensitivity theory have developed as two distinct bodies of research literature. In this study an interrelationship between the two problem classes is considered. It is shown that the observer and the sensitivity problems are duals of each other. View full abstract»

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  • Exponential stability of linear equations arising in adaptive identification

    Publication Year: 1977, Page(s):83 - 88
    Cited by:  Papers (155)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (544 KB)

    The stability, properties are examined of various time-varying linear differential equations which arise in model reference adaptive identification schemes. Necessary and sufficient conditions for exponential stability are presented. View full abstract»

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  • Applications of algebraic geometry to systems theory--Part I

    Publication Year: 1977, Page(s):19 - 25
    Cited by:  Papers (69)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (696 KB)

    -Basic theorems of algebraic geometry are applied to prove some pole-placement theorems, including an improved version of pole placement with output feedback. Examples are given which show the limitations of the algebro-geometric theorems and their potential value for systems theory. This paper and those to follow might contribute towards making the powerful theorems of modern algebraic geometry a... View full abstract»

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  • A note on the algebraic matrix Riccati equation

    Publication Year: 1977, Page(s):143 - 144
    Cited by:  Papers (47)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (184 KB)

    The results in [1] and [2] for the matrix Lyapunov equation are extended to the case of an algebraic matrix Riccati equation. Some errors in [1] and [2] are pointed out by a counter example. The estimations obtained in this note are shown to be exact for certain cases. Similar results are possible for the discrete algebraic matrix Riccati equation. View full abstract»

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  • External solutions of Riemann-Stieltjes inequalities of linear optimal control

    Publication Year: 1977, Page(s):139 - 140
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (248 KB)

    The maximum and minimum solution of an integral inequality are identified arising in linear-quadratic control existence theory. The set of terminal weighting matrices for which a control problem has a solution is illuminated. View full abstract»

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  • Generalized dynamic covers for linear systems with applications to deterministic identification and realization problems

    Publication Year: 1977, Page(s):26 - 35
    Cited by:  Papers (14)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (752 KB)

    Several deterministic identification problems, with partial realization being a special case, are unified in the framework of the mathematical problem "generalized dynamic covers." An algorithm to find such a minimal dynamic cover as well as a uniqueness criterion is given, which yields several identifiability results. This problem also includes the "observer" and the "exact model matching" proble... View full abstract»

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  • Transformational solution of singular linear-quadratic control problems

    Publication Year: 1977, Page(s):57 - 60
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (512 KB)

    General linear-quadratic singular variational problems with free end-point are studied. An algorithm is presented, involving the execution of a sequence of coordinate basis transformations in the state and control space; the algorithm establishes whether a prescribed problem has a solution, determining the optimal control and performance index in case the solution exists. 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

Full Aims & Scope

Meet Our Editors

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