Journal of Optimization Theory and Applications

, Volume 41, Issue 1, pp 37–53 | Cite as

Return sets of a linear control process

  • R. Conti
Contributed Papers


Given a realn ×n matrixA and a nonempty set Γ of the Euclidean space ℝ n , the linear control process
$$\dot x = Ax - c,c(t) \in \Gamma ,$$
defines several kinds of transferable (or reachable) sets. Among these, we study in detail return sets whose points are transferable into themselves after a certain period, and we consider the problem of minimizing such period.

Key Words

Linear control processes minimum period 


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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • R. Conti
    • 1
  1. 1.Istituto Matematico Ulisse DiniUniversità di FirenzeFirenzeItaly

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