Spectral synthesis of Diophantine and nonlinear controllers of invertible dynamical systems (Q1595563)

The paper deals with a class of nonlinear invertible control systems \[ A(y,y',\dots, y^{(r- 1)}, \xi)y^{(r)}+ b(y, y',\dots, y^{(r- 1)}, \xi)+ \pi= u, \] where \(y\) is the controlled vector, \(u\) is the control vector, \(\xi\) is a parameter vector and \(\pi\) is the vector of uncontrollable inputs. Conditions are given for global controllability, decomposability and stabilizability of such systems.