Abstract :
Let us consider a nonlinear system x = f (t, x) + g (t, x)u (1) where the vector-function f(t, x) is defined and continuous in the domain D = {(t, x) | t ≥ 0, x ∈ Rn}. We presuppose in addition, that f(t, x) is a homogeneous vector-function of order m > 1 of the argument x. It has the continuous and bounded partial derivatives ∂fi(t, x)/∂xj, ij = 1, n in the domain G = {(t, x) |t ≥ 0, ||x|| ≤ H} for any H > 0.
Keywords :
nonlinear control systems; set theory; vectors; attainability set; bounded partial derivatives; continuous partial derivatives; homogeneous vector-function; nonlinear controllable systems; qualitative analyses; Educational institutions; Electronic mail; Integral equations; Mercury (metals); Nonlinear systems; Trajectory;
