An algorithm for invariance kernels of differential inclusions. (English) Zbl 0794.49005

Kurzhanskii, Alexander B. (ed.) et al., Set-valued analysis and differential inclusions. A collection of papers resulting from a workshop held in Pamporovo, Bulgaria, September, 1990. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 16, 171-181 (1993).
Summary: We investigate a differential inclusion whose solutions have to remain in a given closed set. The invariance kernel is the set of the initial conditions starting at which, all solutions to the differential inclusion remain in this closed set. We provide an algorithm which determines this set.
For the entire collection see [Zbl 0782.00079].


49J24 Optimal control problems with differential inclusions (existence) (MSC2000)