A hierarchical optimization method of large-scale time-delay systems
University of New Mexico, Albuquerque, NM01/1982; DOI:10.1109/CDC.1981.269427 In proceeding of: Decision and Control including the Symposium on Adaptive Processes, 1981 20th IEEE Conference on, Volume: 20
Source: IEEE Xplore
ABSTRACT In this paper a large-scale time-delay system is decomposed into N non-delay subsystems. A sub-optimal control based on heirarchical optimization of large-scale systems is then proposed and an algorithm for it is given.
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ABSTRACT: A computationally efficient method based on a sensitivity approach is developed to obtain suboptimal control for nonstationary linear systems with multiple state and control delays and with quadratic cost. The proposed suboptimal control includes some truncated series whose terms are calculated in a recursive manner from nondelay system optimization.Journal of Optimization Theory and Applications 12/1979; 30(1):73-88. · 1.42 Impact Factor
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ABSTRACT: Merino breed female sheep (225 in total) were used to study the effects of age and reproductive state on the values of 31 physiological parameters. Of these 31 parameters, 23 were affected by the age of animals, by their reproductive state, or by the interaction between these two factors. The statistical weighing of each of the factors of variability was determined. This revealed that the effects produced by them were indeed systematic. In order to demonstrate the systematic nature of the factors of variability, an attempt was made to classify each animal with respect to its reproductive state and age group, given only the set of biochemical values relating to it. The number of correct assignments to an age group achieved was 84.41%, and this rose to 92.17% with regard to reproductive state. A figure of 100% of correct assignments was reached with the adult age group and animals in oestrus. Thus, although the range of values observed for physiological parameters can, on occasions, be very large, this must be seen as a result of physiological deviations from average. These deviations are systematic and quantifiable, whether analysed in isolation or together as part of a multivariate analysis.Zentralblatt für Veterinärmedizin. Reihe A 07/1997; 44(4):223-31.
Conference Proceeding: Time delays in large-scale systems[show abstract] [hide abstract]
ABSTRACT: The paper examines classes of large scale systems problems which have been tackled by methods associated with M-matrices and vector Lyapunov functions, and shows that the insertion of time delays into the interconnection terms will preserve exponential stability, assuming that such stability is present when no time delays exist. The key is to use new types of Lyapunov-like functions for analysing the behaviour of the delay-differential equations which are encountered. These functions allow the derivation of results for time-varying systems and systems including delay functions other than a pure delay.Decision and Control including the Symposium on Adaptive Processes, 1979 18th IEEE Conference on; 01/1980
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