In this paper, global finite-time stabilization via output-feedback is investigated for a class of stochastic nonlinear systems. By introducing a homogeneous observer, we design an output-feedback control law by adding one power integrator technique and homogeneous domination approach. Based on stochastic finite-time stability theorem, it is proved that the closed-loop system is globally finite...

In this paper we consider finite time stabilization and finite time boundedness control problems for time-varying discrete-time systems. We give the sufficient conditions for the existence of observer-based output feedback controllers that make a system finite time stable and finite time bounded, in terms of difference LMIs. We then reduce the obtained results to time-invariant discrete-time sy...

This paper gives sufficient conditions for finite time stability and stabilization for perturbed nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given...

This paper investigates the stochastic finite-time stabilization and H∞ control problem for one family of linear discrete-time systems over networks with packet loss, parametric uncertainties, and time-varying norm-bounded disturbance. Firstly, the dynamic model description studied is given, which, if the packet dropout is assumed to be a discrete-time homogenous Markov process, the class of di...

With the growing population and density in metropolitan areas, higher tendency to live in high-rise buildings, and increasing demand for parking lots, it seems necessary to excavate soil to construct underground spaces. During excavation work, as the height of the wall increases, special care should be taken to the wall stabilization to avoid any consequent damage including extensive property d...

When dealing with the stability of a system, a distinction should be made between classical Lyapunov Stability and Finite-Time Stability (FTS) (or ShortTime Stability). The concept of Lyapunov Asymptotic Stability is largely known to the control community; on the other hand a system is said to be finite-time stable if, once we fix a time-interval, its state does not exceeds some bounds during t...

Abstract In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the num...