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.
On tight polyhedral estimates for reachable sets of linear differential systems
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria
AIP Conference Proceedings ; 1493 , 1 ; 579-586
2012-11-06
8 pages
Conference paper
Electronic Resource
English
On tight polyhedral estimates for reachable sets of linear differential systems
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