Abstract
In this paper, we study the approximate controllability with preassigned responses of the nonlinear delay systems x′(t)=A(t)x(t)+f(t, x(t), x(δ(t)), u(t)) and L(x(t), x′(t))=A(t)x(t)+f(t, x(t), x(δ(t)), u(t)). The controllability is not governed by an associated linear system, but by conditions on f or A involving the domain of A(t). No compactness assumptions are imposed in the main results.
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Bian, W.M. Controllability of Nonlinear Evolution Systems with Preassigned Responses. Journal of Optimization Theory and Applications 100, 265–285 (1999). https://doi.org/10.1023/A:1021726017996
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DOI: https://doi.org/10.1023/A:1021726017996