12 research outputs found
Exact controllability of non-Lipschitz semilinear systems
We present sufficient conditions for exact controllability of a semilinear infinite-dimensional dynamical system. The system mild solution is formed by a noncompact semigroup and a nonlinear disturbance that does not need to be Lipschitz continuous. Our main result is based on a fixed point-type application of the Schmidt existence theorem and illustrated by a nonlinear transport partial differential equation
On existence of solutions of a impulsive stochastic partial functional integro-differential equation with the measure of noncompactness
Viability for feedback control systems in Banach spaces via Caratheodory closed-loop control
Optimal feedback control for a semilinear evolution equation
In this paper, we consider a minimization problem of a cost functional associated to a nonlinear evolution feedback control system with a given boundary condition which includes the periodic one as a particular case. Specifically, by using an existence result for a system of inclusions involving noncompact operators (see Ref. 1), we first prove that the solution set of our problem is nonempty. Then, from the topological properties of this set, we derive the existence of a solution of the minimization problem under consideration