A controller is presented for point stabilization of the extended chained form system. The extended chained form system can not be stabilized by means of continuous pure-state feedback. Moreover, it can not be exponentially stabilized by smooth feedback, since the linearization around equilibrium points is uncontrollable. In this paper, a controller is given that ρ-exponentially stabilizes the ...

The aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎It is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...

The cornerstone of functional neurosurgery historically has been the modulation of known neural circuits and neuroanatomic pathways to achieve a predictable therapeutic effect. A lack of suitable alternatives once made lesioning the primary treatment for certain severe medically refractory movement, psychiatric, and chronic pain disorders. Vast improvements in lesioning techniques were accompli...

An iterative learning controller for steering chained-form systems is presented. The learning algorithm relies on chained-form systems being linear under piecewise-constant inputs. The proposed control scheme requires the execution of a limited number of experiments in order to reach the desired state in finite time, with nice convergence and robustness properties with respect to modeling inacc...