Existence principles for inclusions of Hammerstein type involving noncompact acyclic multivalued maps.
Anti-periodic solutions for second order differential inclusions.
Cauchy problem for derivors in finite dimension.
Strong stabilization of controlled vibrating systems
This paper deals with feedback stabilization of second order equations of the form + + = 0, ∈ [0, +∞[, where is a densely defined positive selfadjoint linear operator on a real Hilbert space with compact inverse and is a linear map in diagonal form. It is proved here that the classical sufficient ad-condition of Jurdjevic-Quinn and Ball-Slemrod with the feedback control = ⟨, ...
Strong stabilization of controlled vibrating systems
This paper deals with feedback stabilization of second order equations of
the form
Nonlinear feedback stabilization of a rotating body-beam without damping
Nonlinear observers in reflexive Banach spaces
On an arbitrary reflexive Banach space, we build asymptotic observers for an abstract class of nonlinear control systems with possible compact outputs. An important part of this paper is devoted to various examples, where we discuss the existence of persistent inputs which make the system observable. These results make a wide generalization to a nonlinear framework of previous works on the observation problem in infinite dimension (see [11, 18, 22, 26, 27, 38, 40] and other references therein).
Nonlinear feedback stabilization of a rotating body-beam without damping
This paper deals with feedback stabilization problem of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied to the rigid body and either a boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This feedback, which insures the exponential decay of the beam vibrations, extends the case studied by Laousy ...
Nonlinear observers in reflexive Banach spaces
On an arbitrary reflexive Banach space, we build asymptotic observers for an abstract class of nonlinear control systems with possible compact outputs. An important part of this paper is devoted to various examples, where we discuss the existence of persistent inputs which make the system observable. These results make a wide generalization to a nonlinear framework of previous works on the observation problem in infinite dimension (see [11,18,22,26,27,38,40] and other references therein).
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