eprintid: 4761 rev_number: 6 eprint_status: archive userid: 351 dir: disk0/00/00/47/61 datestamp: 2016-01-15 02:07:05 lastmod: 2021-08-27 17:36:20 status_changed: 2016-01-15 02:07:05 type: book metadata_visibility: show item_issues_count: 1 creators_name: Kurzhanski, A.B. creators_name: Valyi, I. creators_id: AL0216 creators_id: AL1323 title: Ellipsoidal Calculus for Estimation and Control ispublished: pub internal_subjects: iis_met internal_subjects: iis_sys divisions: prog_sds abstract: The investigation of control and estimation problems under unknown but bounded errors and disturbances, as well as those of differential games and related issues, may lead to solutions and procedures formulated in terms of sets and set-valued functions. However, the relevant mathematical tools are usually complicated and not easy to apply, even in the linear-convex case. This book gives an account of an ellipsoidal calculus and ellipsoidal techniques, developed by the authors, that allows presentation of the set-valued solutions to these problems in terms of approximating ellipsoidal-valued functions. Such an attack leads to effective computation schemes and opens the way to applications and implementations with computer animation, particularly in decision support systems. The problems treated in this volume are those that involve calculation of attainability domains, of control synthesis under bounded controls, state constraints and unknown input disturbances, as well as those of "viability" and of the "bounding approach" to state estimation. The text ranges from a specially developed theory of exact set-valued solutions to the description of ellipsoidal calculus, related ellipsoidal-based methods and examples worked out with computer graphics. The calculus given may also be interpreted as a generalized technique of the "interval analysis" type with an impact on scientific computation. date: 1996 date_type: published publisher: Birkhaeuser iiasapubid: XB-96-004 iiasa_bibref: Birkhaeuser, Boston, MA, USA [1996] iiasa_bibnotes: [ISBN 0-8176-3699-4] creators_browse_id: 2088 creators_browse_id: 2471 full_text_status: none place_of_pub: Boston pages: 344 refereed: TRUE isbn: 0-8176-3699-4 related_url_url: http://www.springer.com/us/book/9780817636999 related_url_type: pub coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Kurzhanski, A.B. & Valyi, I. (1996). Ellipsoidal Calculus for Estimation and Control. Boston: Birkhaeuser. ISBN 0-8176-3699-4