Showing papers in "IFAC Proceedings Volumes in 1963"

TL;DR: A statement of optimal control problems on systems with distributed parameters for a fairly broad class of systems described by non-linear integral equations under arbitrary constraints is given and a maximum principle is formulates, which gives the necessary conditions for determining optimal controls.

TL;DR: Criteria of optimality based on Liapunov's method of functions, worked out for systems with after-action, and brought up to date in accordance with the principles of dynamic programming are given.

TL;DR: In this article, a synthesis procedure for a wide class of optimal processes is presented, where linear processes are considered under the following types of optimization criteria and constraints: (1) under control amplitude constraint, either minimize control effort or minimize time.

TL;DR: In this article, the Loeve and Karhunen integral equation (LKE) was used to estimate the electricity demand in a large area several hours in advance. But the LKE was not applied to the problem of estimating the electrical demand in large areas.

TL;DR: In this paper, the stability of the trivial solution of $ = A (t, x) x is considered and it is shown that if x is directed towards the interior of a certain region H (bounded by hyperplanes) at each of its vertices, whenever A is within some closed region G (of the space En2 of the elements of A) then, subject to A ∊ G for all t ≥ t0 and all x, the solution x = 0 is generally asymptotically and uniformly stable.

TL;DR: Dual control problems are considered in this paper, for discrete-time systems, when a change in the plant's characteristics represents a discrete Markov process.

TL;DR: In this paper, the authors considered non-linear pulse control systems which consist of a nonlinear element and a linear pulse part (LP) and established a sufficient criterion of absolute stability from the frequency characteristic of the LP.

TL;DR: A scheme for a learning machine, which is being constructed in the form of a mechanical tortoise which takes its name from its laboratory origin, in which the machine explores the possibilities of its future actions with a view to modifying its performance.

TL;DR: In this paper, necessary and sufficient conditions for the roots of a real polynomial to lie inside the unit circle are given in table form, and the connection and identity existing between the stability criterion established in this paper and that of a previously obtained criterion is discussed.

TL;DR: In this paper, the concept of functional Taylor series is applied directly to the functional relation between the solution and forcing function of a large class of differential equations, yielding the Volterra series.

TL;DR: In this paper, the optimal time problem is considered for multiple input systems, where each input may be subject to a separate and possibly different type of constraint, and the problem is to find the set of inputs ui(t) which satisfy the constraints and which will make the plant outputs equal to a set of desired outputs in minimum time T.

TL;DR: In the determination and continuous adaptation of the optimum settings of a continuous process the influence of disturbances and dynamic effects can be ruled out by using random test signals superposed on the adjustable parameters.

TL;DR: In this article, a general midcourse guidance problem is formulated as an optimal control problem, which consists of bringing a vehicle on to a nominal trajectory with a minimum expenditure of fuel, and an amplitude constraint is placed on the thrust (or control) vector.

TL;DR: A method of optimal control for a class of any-order non-linear systems based on prediction of the optimal motion of all the system coordinates, using high-speed iterative computers is described.

TL;DR: This investigation demonstrates the possibility of building a simple computer for the search of an extremum using analogue and sequential circuits and the self-adaptive properties of the computer even in the presence of fast perturbations and the stability of the method.

TL;DR: In this paper, the stability and response characteristics of extrema seeking adaptive systems, in which sinusoidal perturbations of the adaptive parameter (parameters) provide the derivative action necessary to determine direction and magnitude of the criterion surface gradient at the operating point, are analysed.

TL;DR: An analytic solution to the inverse describing function problem which results in expressions in the form of Volterra integral equations is provided and the conditions under which the representation for the non-linear element is unique are discussed and additional requirements for the unique definition of non-single-valued non- linear elements are given.

TL;DR: It is shown that the increase in statistical inaccuracy with this procedure can be diminished by taking more samples within the given observation time of the signals, and in certain cases the zero crossings and the extreme values of the correlation function do not shift with respect to the x axis.

TL;DR: In this article, a cost function with a multiplied K is introduced for regions beyond the boundaries in phase space, and it is shown that in the limit of K approaching infinity, both the added cost and the maximum excursion of the optimal path beyond the boundary approach zero, thus deriving the optimal control condition.

TL;DR: In this article, an axiomatic development of the theory of control systems can systematize important concepts, such as stability and invariance of a set, and a weak form of these properties can be defined for general control systems.

TL;DR: A new class of discrete data control systems in which a portion of the system makes use of pulse frequency modulation, a concept arose as an abstraction from the study of neural communication links in physiological control systems.

TL;DR: In this article, the authors presented a method of synthesis of the optimal control function for constant as well as with variable coefficients, and illustrative examples for the synthesis problem were given.

TL;DR: In this paper, a non-linear controller operating linearly in the small-signal range and approximately "bang-bang" in the large signal-to-noise ratio is proposed.

TL;DR: Application of the statistical computer ISAC greatly simplifies the experimental work and the usefulness of the method is illustrated, as well as some experimental results.

TL;DR: The method of auxiliary operator for the determination of the gradient of index of the quality of control with respect to tuned parameters for continuous self-tuning with random disturbances is considered.

TL;DR: Three explicit approximation techniques are described, one a trajectory method, and the others function space methods, which describe approximate computer methods of finding numerical solutions to suitable engineering accuracy.

TL;DR: In this paper, the authors studied the optimum control of multi-variable systems by considering the behaviour of the two-variable on-off system described by the equation x ¨ + A x ˙ = u where u1, u2 = ± 1.

TL;DR: In this article, an approximate method is derived for assessing the importance of non-linear effects in feedback systems with Gaussian random inputs, subject to the restriction that the nonlinearity be of the zero-memory type.

TL;DR: Three-dimensional guidance about a time-optimal rendezvous flight path is examined within the framework of a quasi-circular orbital dynamics assumption, based formally upon the approximate construction of a field of neighbouring optimal rendezvous paths, following a method developed by Kelley in an earlier paper.