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Small-Time Reachable Sets of Linear Systems with Integral Control Constraints: Birth of the Shape of a Reachable Set

Author

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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)

Abstract

The paper is concerned with small-time reachable sets of a linear dynamical system under integral constraints on control. The main result is the existence of a limit shape of the reachable sets as time tends to zero. A precise estimate for the rate of convergence is given.

Suggested Citation

  • Elena Goncharova & Alexander Ovseevich, 2016. "Small-Time Reachable Sets of Linear Systems with Integral Control Constraints: Birth of the Shape of a Reachable Set," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 615-624, February.
    • Handle: RePEc:spr:joptap:v:168:y:2016:i:2:d:10.1007_s10957-015-0754-4
    DOI: 10.1007/s10957-015-0754-4
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    References listed on IDEAS

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    1. Elena Goncharova & Alexander Ovseevich, 2013. "Limit Behavior of Reachable Sets of Linear Time-Invariant Systems with Integral Bounds on Control," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 400-415, May.
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