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Article information
2004 , Volume 9, ¹ 5, p.54-72
Kostousova E.K.
Outer polyhedral estimates of reachable sets in the "extended" phase space for linear discrete systems with integral bounds on controls
A problem of constructing the outer estimates of reachable sets of linear discrete systems with integral nonquadratic bounds on controls (including systems with phase constraints) is considered. The families of estimates in the form of parallelepipeds and special polytopes are introduced for reachable sets in the "initial" and "extended" spaces. The properties of these estimates are investigated.
[full text] Classificator Msc2000:- *93B03 Attainable sets
- 93B40 Computational methods
- 93C05 Linear systems
Keywords: state estimation via parallelotopes, parallel computations, control applications of optimization
Author(s):
Kostousova Elena Kirillovna
Dr. , Senior Scientist
Position: Leading research officer
Office: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
Address: 620990, Russia, Ekaterinburg, 16, S.Kovalevskaya str.
Phone Office: (343) 375-35-01
E-mail: kek@imm.uran.ru
SPIN-code: 8563-6036
Bibliography link:
Kostousova E.K. Outer polyhedral estimates of reachable sets in the "extended" phase space for linear discrete systems with integral bounds on controls // Computational technologies. 2004. V. 9. ¹ 5. P. 54-72
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