Local null controllability of nonlinear functional differential systems in Banach space

Controllability of Non-densely Defined Neutral Functional Differential Systems in Abstract Space*

“…Kwun et al [8] investigated the controllability and approximate controllability of delay Voltera systems by using a fixed point theorem. Recently Balachandran and his cooperators have studied the (local) controllability of abstract semilinear functional differential systems (see [9]) and the controllability of abstract integro-differential systems (see [10]). In paper [11] the author has extended the problem to neutral systems with unbounded delay.…”

“…More precisely, we consider the controllability problem of the following neutral system on a general Banach space X (with the norm · ): The problem of controllability of linear and nonlinear systems represented by ODE in finite dimensional space has been extensively studied. Many authors have extended the controllability concept to infinite dimensional systems in Banach space with unbounded operators (see [1][2][3][4][5][6][7][8][9][10][11] and the references therein). Triggiani [5] established sufficient conditions for controllability of linear and nonlinear systems in Banach space.…”

Controllability of Nonlinear Fractional Neutral Stochastic Dynamical Systems with Poisson Jumps

“…The controllability results for linear and nonlinear integral order dynamical systems in finite-dimensional space have discussed extensively (see [4]). Local null controllability of nonlinear functional differential systems in Banach space has been studied in [1]. Approximate controllability of fractional order semilinear systems with bounded delay has been studied (see [8]).…”

Null controllability of nonlocal Hilfer fractional stochastic differential equations

“…The stochastic differential equations arise in many mathematical models [5,14,18,20]. The problem of controllability of nonlinear stochastic or deterministic system has been discussed in [3,4,6,8,9,16,19].…”