On the approximation of the set of trajectories of control system described by a Volterra integral equation
2014 ◽
Vol 19
(2)
◽
pp. 199-208
◽
Keyword(s):
In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded.
2015 ◽
Vol 20
(4)
◽
pp. 502-515
◽
2016 ◽
Vol 7
(1)
◽
pp. 59-65
◽
2012 ◽
Vol 17
(5)
◽
pp. 686-695
◽
2014 ◽
Vol 59
(3)
◽
pp. 303-317
◽
2015 ◽
Vol 288
(16)
◽
pp. 1891-1899
◽
Keyword(s):
2016 ◽
Vol 2016
(1)
◽
Keyword(s):
2017 ◽
Vol 7
(3)
◽
pp. 145-154
2021 ◽
Vol 24
(3)
◽
pp. 735-741