Limit Behavior of Reachable Sets of Linear Time-Invariant Systems with Integral Bounds on Control

Elena Goncharova () and Alexander Ovseevich ()
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Elena Goncharova: Siberian Branch of the Russian Academy of Sciences
Alexander Ovseevich: Institute for Problems in Mechanics of the Russian Academy of Sciences

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 2, No 5, 400-415

Abstract: Abstract In this paper, a linear dynamic system is considered under L p -constraint on control. We establish the existence of the limit shape of reachable sets as time goes to infinity. Asymptotic formulas are obtained for reachable sets and their shapes. The results throw a bridge between the cases of geometric bounds on control and constraints on the total impulse of control, and create a unified picture of the structure of the limit shapes of reachable sets.

Keywords: Linear control systems; Reachable sets; Shapes of convex bodies (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0198-z

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