Ellipsoidal Techniques: The Problem of Control Synthesis

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3586 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3586 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3586 archive 351 disk0/00/00/35/60 2016-01-15 02:01:24 2021-08-27 17:14:05 2016-01-15 02:01:24 monograph show 2 Kurzhanski A.B. AL0216 Valyi I. AL1323 Ellipsoidal Techniques: The Problem of Control Synthesis pub iis_met iis_sys prog_sds This paper introduces a technique for solving the problem of control synthesis with constraints on the controls. Although the problem is treated here for linear systems only, the synthesized system is driven by a nonlinear control strategy and is therefore generically nonlinear. Taking a scheme based on the notion of extremal aiming strategies of N.N. Krasovski, the present paper concentrates on constructive solutions generated through ellipsoidal-valued calculus and related approximation techniques for set-valued maps. Namely, the primary problem which originally requires an application of set-valued analysis is substituted by one which is based on ellipsoidal-valued functions. This yields constructive schemes applicable to algorithmic procedures and simulation with computer graphics. 1991-03 published WP-91-003 WP-91-003 10 2088 2471 public working_paper IIASA, Laxenburg, Austria 29 FALSE info:eu-repo/semantics/book