Abstract
In this paper the control system with limited control resources is studied, where the behavior of the system is described by a nonlinear Volterra integral equation. The admissible control functions are chosen from the closed ball centered at the origin with radius µ in L p (p > 1). It is proved that the set of trajectories generated by all admissible control functions is Lipschitz continuous with respect to µ for each fixed p, and is continuous with respect to p for each fixed µ. An upper estimate for the diameter of the set of trajectories is given.
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Huseyin, A., Huseyin, N. Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation. Appl Math 59, 303–317 (2014). https://doi.org/10.1007/s10492-014-0056-4
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DOI: https://doi.org/10.1007/s10492-014-0056-4