Add to ORKGThis paper surveys existing necessary conditions, and gives new conditions based on homogeneous resonance, for a homogeneous system to admit a homogeneous (of correct order) continuous, asymptotically stabilizing, state, feedback control. Such conditions are basic in utilizing high order, homogeneous, approximations of non-linear systems to construct asymptotically stabilizing feedback controls when linear approximations of the nonlinear system are not locally controllable. For a class of three dimensional, homogeneous, locally controllable, systems, we determine at which resonance values they can be stabilized
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
summary:In this paper, we study the problem of stabilization via homogeneous feedback of single-inpu...
. This paper focuses on the problem of exponential stabilization of controllable, driftless systems ...
This paper surveys existing necessary conditions, and gives new conditions based on homogeneous reso...
1 Introduction and Motivation We address a special case of the general problem of finding continuous...
. A machinery is developed for the explicit construction of locally Holder continuous feedback laws ...
If a smooth nonlinear affine control system has a controllable linear approximation, a standard tec...
We introduce a new notion of generalized homogeneous approximation at the origin and at infinity whi...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and hom...
This paper presents an example of a homogeneous planar controllable system which is stabilizable whi...
peer reviewedWe provide necessary conditions for the stabilization of nonlinear control systems wit...
The paper generalizes the concept of homogeneous approximations to a class of unbounded operators sa...
summary:In this paper, we study the problem of stabilization via homogeneous feedback of single-inpu...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
summary:In this paper, we study the problem of stabilization via homogeneous feedback of single-inpu...
. This paper focuses on the problem of exponential stabilization of controllable, driftless systems ...
This paper surveys existing necessary conditions, and gives new conditions based on homogeneous reso...
1 Introduction and Motivation We address a special case of the general problem of finding continuous...
. A machinery is developed for the explicit construction of locally Holder continuous feedback laws ...
If a smooth nonlinear affine control system has a controllable linear approximation, a standard tec...
We introduce a new notion of generalized homogeneous approximation at the origin and at infinity whi...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and hom...
This paper presents an example of a homogeneous planar controllable system which is stabilizable whi...
peer reviewedWe provide necessary conditions for the stabilization of nonlinear control systems wit...
The paper generalizes the concept of homogeneous approximations to a class of unbounded operators sa...
summary:In this paper, we study the problem of stabilization via homogeneous feedback of single-inpu...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
summary:In this paper, we provide an explicit homogeneous feedback control with the requirement that...
summary:In this paper, we study the problem of stabilization via homogeneous feedback of single-inpu...
. This paper focuses on the problem of exponential stabilization of controllable, driftless systems ...