On tight polyhedral estimates for reachable sets of linear differential systems.

The paper deals with polyhedral (parallelotope-valued) estimates for reachable sets of linear differential systems and is devoted to investigation of so called tight estimates. First, we construct the new families of tight internal and external estimates. Second, we study properties of boundedness and unboundedness on the infinite time interval of external estimates for reachable sets of systems with stable matrices and present new results concerning the family of the tight external estimates. [ABSTRACT FROM AUTHOR]