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The differential equations describing a large class of biological and biochemical control systems are examined from the point of view of stability using the following methods: The stability properties of the equations transformed to the Lur'e canonical form are examined by methods based on the second Lyapunov method. These results illustrate that sustained concentration oscillations cannot arise in...
In highly complex metabolic systems, composed of interlocking and overlapping biosynthetic and degradative pathways, the control of certain strategic enzyme activities is more critical to the maintenance of fine balance between the various metabolic functions than is the control of others. The overall regulatory plan of such pathways depend largely on the nature of the biochemical reactions, the extent...
This paper presents the use of maximum likelihood estimation, optimization theory, and discrete invariant imbedding in the development of algorithms for the maximum likelihood estimation of bias coefficients in discrete linear systems with stochastic inputs and disturbances.
Cooperative effects in the binding of oxygen to hemoglobin have been known and studied for some time. The degree of cooperativity is reflected in the S or sigmoid saturation curve (i.e. percentage of oxygenated hemoglobin as a function of the partial pressure of oxygen) showing that the binding of a few oxygen molecules favours the binding of more and that binding occurs best at high oxygen concentrations.
Sequential search strategies for the determination of a minimum cost control alternative from a finite set in a stochastic environment are considered. The problem is equivalent to search of a "hill of uncertainty" in a decision space; any strategy defines a particular path descending the hill. Optimal decision strategies are identified for the two distinct cases of on-line or adaptive control,...
This paper presents some aspects of a special multimodality in a two-person game-renju (a Japanese alignment game on a board); the authors believe such a renju multimodality will surely be a new base of ideas and understanding of adaptive processes in artificial intelligence requiring multimodal optimum search. After introducing renju rules, and basic renju technical terms and strategies, this paper...
The Theory of Cooperative N-Person Stochastic Differential Games is shown to be applicable for solving a Multicriterion Stochastic Optimal Control Problem as a game without sidepayments and with equal information to each of the players. Utilizing the Mash-Harsanyi solution for such a game, a noninferior control law can be obtained as the solution to the Multicriterion Stochastic Optimal Control Problem...
This paper is concerned with the behavior of an adaptive routing system in a large communications network. The adaptive routing algorithm described uses stochastic switching matrices to automatically find and complete the traffic paths through a system. A realistic network and traffic which were derived from military field exercises are used to illustrate the real time behavior of the algorithm. Simulation...
The problem model considered here is y(k+1) = A(k)y(k) + ??G(k)w(k) (1) x(k) = ??y(k) (2) z(k) = ??C(k)x(k) + v(k) (3) where x(k) is a Gauss-Markov n vector, the state of the system, w(k), the plant noise vector, is a white gaussian m vector with known mean and variance, v(k) is the observation noise vector and is zero mean gaussian r vector, z(k) is the r vector of observation, A(k), G(k), and C(k)...
The Bayes optimal m-ary digital communication receiver structure is derived using a recursive formula from the theory of unsupervised learning pattern classification. The receiver structure is optimal for a model which includes intersymbol interference, Markov symbol and noise sequences, and unknown parameters. The optimum receiver is found as a function of the noise density. In the particular case...
This paper presents an analysis of an optimally controlled linear plant subjected to additive random distrubances and jump type parameter uncertainties. In practice, these jump type parameter uncertainties arise whenever the system goes through some sudden changes in the environmental conditions, or suffers a loss of some component in the plant and/or controller parameters. The dynamic behavior of...
A study is made of the applicability of two direct search techniques to the problem of optimizing the performance of a system operating in a switching environment. The techniques are modified to extend their applicability in such environments. The methods considered are (1) the stochastic automaton method and (2) the adaptive random optimization method. Pattern recognition techniques are used to identify...
Practical algorithms are developed for recognizing the characteristic signature of a statistically modelled target when given a data record from a sensor observing a fixed spatial resolution element. Any one of many background objects could be present instead of the target. Since the background statistics may be poorly known, the objective is to devise an easily implemented detection method which...
An estimator is developed for the class of systems which can be modeled as a partial differential equation with input disturbances having Gaussian statistics. The errors associated with output observations are considered to be additive and Gaussian in nature. The estimator is shown to be a linear distributed dynamic system whose input is the observation process. Under the requirement that the estimate...
Optimal state estimation in linear systems with time delay is investigated. The application of optimum control theory leads to a split boundary value problem. The existence of the solution to the two-point boundary value problem is investigated. It is shown that the adjoint system (costate equations) must be completely controllable to a function (complete observability) with respect to the initial...
One of the most difficult problem areas encountered in advanced avionic systems is the verification by testing that the delivered product meets the agreed-to and specified design requirements. In a majority of cases, the details and the criteria, by which seller will assure buyer that the product meets the design commitments, are left to be defined after contract award. This invariably leads to disagreements...
The high rate of production desired in blooming and slabbing mills calls for a computer control system to calculate a pass schedule on-line for minimizing mill operating times by predicting roll force and roll torque. In predicting these control variables with high accuracy, three adaptive control methods are devised. These are: 1) Adaptive control to the latter passes of an ingot with use of rolling...
This paper describes the results of a simulation study carried out to demonstrate the feasibility of a Self Adaptive ACLS. Results indicate that such a system can successfully reduce system errors due to nonlinearities and noise effects.