The solvability, controllability & observability of infinite dimensional nonlinear control system using banach fixed point theorem

Abstract EN

In this paper, the theoretical results of the solvability, controllability and observability of the mild solution to the following nonlinear dynamic control system s=t s=0 h (t-s)g(s, u w(s)) ds(B w)(t) u w (0) =u0∫ d u w ( t )\ dt + A u w ( t )= f( t , u ( t)) + ∫s=t s=0 h (t-s)g(s, u w(s)) ds(B w)(t) u w (0) =u0 have been discussed and proved via Banach fixed point theorem and strongly continuous semi group theory.