1981 20th IEEE Conference on Decision and Control Including the Symposium on Adaptive Processes 1981
DOI: 10.1109/cdc.1981.269352
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Hierarchical aggregation of linear systems with multiple time scales

Abstract: Abstrucf -In this paper we carry out a detailed analysis of the multiple time scale behavior of singularly perturbed linear systems of the formwhere A ( < ) is analytic in the small parameter e. Our basic result is a uniform asymptotic approximation to exp A ( e ) r that we obtain under a certain multiple semistability condition.This asymptotic approximation gives a complete multiple time scale decomposition of the above system and specifies a set of reduced order models valid at each time scale.Our contributi… Show more

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Cited by 7 publications
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“…' 190 Hierarchical aggregation of linear systems with multiple time scales was considered by Coderch and colleagues, 86 and provided a mathematical study of nested hierarchical controllers. ' 190 Hierarchical aggregation of linear systems with multiple time scales was considered by Coderch and colleagues, 86 and provided a mathematical study of nested hierarchical controllers.…”
Section: Meystel's Nested Architecturementioning
confidence: 99%
“…' 190 Hierarchical aggregation of linear systems with multiple time scales was considered by Coderch and colleagues, 86 and provided a mathematical study of nested hierarchical controllers. ' 190 Hierarchical aggregation of linear systems with multiple time scales was considered by Coderch and colleagues, 86 and provided a mathematical study of nested hierarchical controllers.…”
Section: Meystel's Nested Architecturementioning
confidence: 99%