Аннотация:The treatment of problems in control and observation under various
types of uncertainty or partial information is often reduced to the
description of controlled set-valued dynamics, especially for
ellipsoidal-valued tubes. This paper indicates the statement and
solutions of target control problems for ellipsoidal-valued motions
which have to evolve while avoiding external obstacles and also
observing an internal bound that excludes degeneracy of the tubes
throughout the motion.
The techniques rely on Hamiltonian methods
for matrix differential equations. The motivations for such problems
include those of reachability, guaranteed state estimation, output feedback control
as well as coordinated multiagent team control and
distributed observation.