Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation

作者：Huseyin Anar^*; Huseyin Nesir

来源：Applications of Mathematics, 2014, 59(3): 303-317.

DOI：10.1007/s10492-014-0056-4

• nonlinear Volterra integral equation
• control system
• integral constraint

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 A mu 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 A mu for each fixed p, and is continuous with respect to p for each fixed A mu. An upper estimate for the diameter of the set of trajectories is given.

• 出版日期2014-6