Local Controllability of Quasilinear Integrodifferential Evolution Systems in Banach Spaces
Copyright policy )Local Controllability of Quasilinear Integrodifferential Evolution Systems in Banach Spaces
The authors consider the quasilinear integrodifferential evolution system of the form \hskip 17mm \(x'(t)+ A(t, x(t)) x(t)= Bu(t)+ f(t,x(t), \int^t_0 g(t,s,x(s)) ds)\), \hskip 17mm \(t\in [0,T]\), \hskip 17mm \(x(0)= x_0\), where the state \(x(\cdot)\) takes values in a Banach space \(X\) and the control \(u(\cdot)\) is in \(L^2(J,U)\). The aim is to study the controllability of the system by using analytic semigroup theory and the Schauder fixed-point theorem.
- Pusan National University Korea (Republic of)
- Bharathiar University India
Controllability, Control/observation systems governed by functional-differential equations, controllability, quasilinear integrodifferential system, analytic semigroup, fixed point theorem, Applied Mathematics, Schauder fixed-point theorem, Control/observation systems in abstract spaces, analytic semigroup theory, quasilinear integrodifferential evolution system, controllability, Analysis
Controllability, Control/observation systems governed by functional-differential equations, controllability, quasilinear integrodifferential system, analytic semigroup, fixed point theorem, Applied Mathematics, Schauder fixed-point theorem, Control/observation systems in abstract spaces, analytic semigroup theory, quasilinear integrodifferential evolution system, controllability, Analysis
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