This paper shows that coprime right factorizations exist for the input to state mapping of a
continuous time nonlinear system provided that the smooth feedback stabilization problem …

The stabilizability problem can be considered a modern version of the classical stability
problem for equilibrium positions of ordinary differential equations. It has been largely …

We survey recent advances on the stabilization problem for two and three dimensional,
single input, affine nonlinear systems. Among the new results given here is a theorem which …

In this paper we study single-input bilinear systems in the plane. We give a complete
characterization of the systems which admit a local asymptotic smooth stabilizer. The …

The present article will appear 30 years after Hermann's report [840] was published; in that
report, the foundations of a new direction in optimal control theory, later called geometrical …

This survey paper deals with the stabilization of nonlinear systems by analyzing the
controlling method in terms of state feedback and output feedback. A brief overview of some …

Coprime right factorizations are shown to exist for the input to state mapping of a continuous-
time nonlinear system, provided that the smooth feedback stabilization problem be solvable …

Controllability and stabilisability are two fundamental properties of control systems and it is
intuitively appealing to conjecture that the former should imply the latter; especially so when …

The automated design of non-linear control systems has long eluded the control engineer,
because of the lack of sufficient mathematical tools to solve the design problem. Indeed it is …

We survey recent advances on the stabilization problem for two and three dimensional,
single input, affine nonlinear systems. Among the new results given here is a theorem which …