The bifurcations of control systems with a single input are studied. Based on the normal
forms of control systems, the equilibrium sets are classified. A set of quadratic invariants for …

An intrinsic characteristic of musical sounds is the qualitative evolution of their timbre (tone
colour). In this paper, we interpret each qualitative change by a bifurcation. We employ …

Qualitative changes in sound intensities frequently occur in musical signals and Hopf
bifurcation control is the most natural mathematical approach to study them. We propose a …

In this paper, control systems with two uncontrollable modes on the imaginary axis are
studied. The main contributions include the local orientation control of periodic solutions and …

The center manifold theorem is a model reduction technique for determining the local
asymptotic stability of an equilibrium of a dynamical system when its linear part is not …

Nonlinear discrete-time control of systems with a Naimark–Sacker bifurcation -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

The slow passage through a Hopf bifurcation leads to the delayed appearance of large-
amplitude oscillations. We construct a smooth scalar feedback control which suppresses the …

UNIQUENESS OF LOCAL CONTROL SETS Page 1 UNIQUENESS OF LOCAL CONTROL SETS
FRITZ (COLONIUS gand MARCO) SPADINI ABSTRACT. The local controllability behavior near …

In this paper, we use a feedback to change the orientation and the shape of the center
manifold of a system with uncontrollable linearization. This change directly affect the …

Linear and quadratic normal forms of nonlinear systems with a pair of imaginary
uncontrollable modes are derived. Based on the normal form, formulae of feedbacks are …