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Constrained controllability of semilinear systems with delays

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Abstract

In the paper, finite-dimensional dynamical control systems described by semilinear ordinary differential state equations with multiple point time-variable delays in control are considered. Using a generalized open mapping theorem, sufficient conditions for constrained local relative controllability are formulated and proved. It is generally assumed that the values of admissible controls are in a convex and closed cone with the vertex at zero. The special case of constant multiple point delays is also discussed. Moreover, some remarks and comments on the existing results for controllability of nonlinear and semilinear dynamical systems are also presented.

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  1. Institute of Automation, Silesian Technical University, Akademicka 16, 44-100, Gliwice, Poland

    Jerzy Klamka

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  1. Jerzy Klamka
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Correspondence to Jerzy Klamka.

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Klamka, J. Constrained controllability of semilinear systems with delays. Nonlinear Dyn 56, 169–177 (2009). https://doi.org/10.1007/s11071-008-9389-4

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  • DOI: https://doi.org/10.1007/s11071-008-9389-4

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