Controllability, robustness and invariance of invertible systems with nonlinear dynamics (Q1593949)

For a class of dynamical nonlinear systems whose equations are solvable with respect to control on a subspace, the author formulates criteria for invertibility and controllability, and derives robust and invariant control laws that ensure asymptotic stability and the desired character of relaxation. In addition, he gives estimates for robustness and investigates conditions for the invariance of invertible dynamical systems under parameter and external perturbations.