Relative controllability of fractional dynamical systems with distributed delays in control

The controllability of nonlinear implicit fractional delay dynamical systems

“…Several results on the controllability of nonlinear fractional dynamical systems with multiple delays and distributed delays in control were derived by Balachandran and Kokila (2012; as well as Balachandran et al (2012a;2012c). Recently, Balachandran and Divya (2014) studied the controllability of nonlinear implicit fractional integrodifferential systems.…”

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

“…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.…”

“…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].…”

Stabilizability of fractional dynamical systems

“…The problem of controllability of linear systems represented by fractional differential equations in finite dimensional spaces has been extensively studied by many authors [1,12,21]. Balachandran et al [6,7,8,9, 10] established sufficient conditions for the controllability of nonlinear fractional dynamical systems with or without delays in finite dimensional spaces using fixedpoint techniques. More recently, controllability of higher order nonlinear fractional dynamical systems are also studied by Balachandran et al [4,5].…”