In this expository paper, we deal with several questions related to stability and stabilization of nonlinear finite-dimensional continuous-time systems. We review the basic problem of feedback stabilization, placing an emphasis upon relatively new areas of research which concern stability with respect to “noise” (such as errors introduced by actuators or sensors). The topics covered are as foll...

This paper investigates the feedback stabilization problem for networked control systems (NCSs) with unbound process noise, where sensors and controllers are connected via noiseless digital channels carrying a finite number of bits per unit time. A sufficient condition for stabilization of NCSs, which relies on a variable-rate digital link used to transmit state measurements, is derived. A lowe...

Stabilization involves finding feedback controllers which stabilize the closed-loop system in the finite-time sense. Stability and control have been developed in the literature using Lyapunov-like method. In this paper, we develop a general framework for stabilization of linear differential-algebraic equations with time-varying delay. Based on Lyapunov-like function method and new bound estimat...

This paper investigates the velocity-free feedback control problem associated with finite time attitude stabilization of a rigid spacecraft subject to external disturbance and input saturation. First of all, to address the lack of angular velocity measurement, a novel, fast, finite time convergent observer is proposed to recover the unknown angular velocity information in a finite time under ex...

In this paper we propose stabilized finite element methods for both Stokes’ and Darcy’s problems that accommodate any interpolation of velocities and pressures. Apart from the interest of this fact, the important issue is that we are able to deal with both problems at the same time, in a completely unified manner, in spite of the fact that the functional setting is different. Concerning the sta...

This article studies the multiagent control problem for affine, rigid, and translational formation, with aim of developing a unified distributed strategy global finite-time convergence. Global stabilization rigid formation in arbitrary dimensional spaces still remains open challenging. provides general solution to this based on sliding mode idea. The law design consists two parts: main force re...