RT Book, Section SR 00 ID 10.1007/BFb0113306 A1 Kurzhanski, A.B. A1 Filippova, T.F. T1 Perturbation techniques for viability and control YR 1992 FD 1992 VO 180 SP 394 OP 403 AB 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. A2 Davisson, L.D. A2 MacFarlane, A.G.J. A2 Kwakernaak, H. A2 Masey, J.L. A2 Tsypkin T2 System Modelling and Optimization PB Springer Berlin Heidelberg PP Germany T3 Lecture Notes in Control and Information Sciences SN 978-3-540-47220-9 AV Published LK https://pure.iiasa.ac.at/id/eprint/14162/