eprintid: 14162 rev_number: 7 eprint_status: archive userid: 5 dir: disk0/00/01/41/62 datestamp: 2016-12-14 14:56:51 lastmod: 2021-08-27 17:41:44 status_changed: 2016-12-14 14:56:51 type: book_section metadata_visibility: show item_issues_count: 1 creators_name: Kurzhanski, A.B. creators_name: Filippova, T.F. creators_id: AL0216 title: Perturbation techniques for viability and control ispublished: pub divisions: prog_das abstract: The paper deals with the perturbation techniques for dynamic systems described by differential inclusions and state constraint relations. We replace the phase restrictions by a new differential inclusion with a small parameter multiplying the derivative and study the limit behaviour of the system combining two groups of differential inclusions, the former to be the given differential inclusion and the latter to be the introduced one. The idea based upon consideration of all matrix time-varying perturbations to this system allows one to describe the attainability sets of the primary differential inclusion under state constraints. Applications to the control and observation problems are also discussed. date: 1992 date_type: published publisher: Springer Berlin Heidelberg id_number: 10.1007/BFb0113306 creators_browse_id: 2088 full_text_status: none series: Lecture Notes in Control and Information Sciences volume: 180 place_of_pub: Germany pagerange: 394-403 refereed: TRUE isbn: 978-3-540-47220-9 book_title: System Modelling and Optimization editors_name: Davisson, L.D. editors_name: MacFarlane, A.G.J. editors_name: Kwakernaak, H. editors_name: Masey, J.L. editors_name: Tsypkin, coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/bookPart citation: Kurzhanski, A.B. & Filippova, T.F. (1992). Perturbation techniques for viability and control. In: System Modelling and Optimization. Eds. Davisson, L.D., MacFarlane, A.G.J., Kwakernaak, H., Masey, J.L., & Tsypkin, pp. 394-403 Germany: Springer Berlin Heidelberg. ISBN 978-3-540-47220-9 10.1007/BFb0113306 .