Relative controllability of fractional dynamical systems with delays in control

Relative controllability of nonlinear fractional delay integrodifferential systems with multiple delays in control

“…Balachandran and Dauer [4] studied the controllability problems for both linear and nonlinear delay systems. The relative controllability of nonlinear fractional dynamical system with multiple delays and distributive delays in control have been discussed by Balachandran et al [5,6,7]. Klamka [18,19] established the controllability of both linear and nonlinear systems with time variable delay in control.…”

Cone-type constrained relative controllability of semilinear fractional systems with delays

“…Balachandran et al in [4] proposed some controllability criteria for nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. In [5] the global relative controllability of semilinear fractional dynamical systems with multiple delays in control without constraints for finite dimensional spaces was discussed.…”

“…In [5] the global relative controllability of semilinear fractional dynamical systems with multiple delays in control without constraints for finite dimensional spaces was discussed. The results in [4] and [5] were obtained by using the Schauder fixed point theorem. Sufficient conditions for the controllability of nonlinear fractional delay systems obtained by using fixed point arguments were proposed also by Balachandran in [6].…”

Controllability criteria for time–delay fractional systems with a retarded state

“…The controllability of fractional systems with delays in control was analyzed by Trzasko (2008), Kaczorek (2011), Balachandran et al, (2012c;2012a), Wei (2012) as well as Kaczorek and Rogowski (2015). The controllability of fractional systems with delays in the state was discussed by Zhang et al (2013) and Busłowicz (2014).…”