| Accessibility Under Sampling (1982) | |||||||||||||||
Abstract | |||||||||||||||
| This note addresses the following problem: Find conditions under which a continuous-time (nonlinear) system gives rise, under constant rate sampling, to a discrete-time system which satisfies the accessibility property. * Research supported in part by US Air Force Grant AFOSR 80-0196 ** Research supported in part under an NSF Grant 2 1. INTRODUCTION We consider systems of the form (1.1) (dx/dt)(t) = f(x(t),u(t)). States x(t) evolve in an analytic (paracompact) n-dimensional manifold M. Control values u(t) belong to a subset U of an analytic manifold P, such that int(U) is connected and U Í clos(int(U)) --for instance, U = a m m convex subset of R and P is R or any open set containing U. Further, we assume that f: M×P ® TM is analytic (this can be weakened for many of the results) and that (1.1) is complete, in the sense that solutions are defined for all t, for any x(0) and any piecewise constant u(.) with values in P (again, this assumption could be dropped for many of the argu... | |||||||||||||||
Publication details | |||||||||||||||
| |||||||||||||||