In this note we address the problem of set-point control of robot manipulators with uncertain gravity knowledge by combining several previous contributions to PID control. The main contribution is a linear PID controller which ensures global asymptotic stability of the closed loop. The key feature of the controller is that the integration is started after a short transient. In the case of unmea...

Abstract. We study the global stability of two models for the HIV virus dynamics, that take into account the CTL immune response and antigenic variation. We show that both models are globally asymptotically stable, by using appropriate Lyapunov functions. For both models, we characterise the stable equilibrium points for the entire biologically relevant parameter range. In the model with antige...

In this paper, the global uniform asymptotic stability is studied for a class of delayed neutral-type neural networks with reactiondiffusion terms. By constructing appropriate Lyapunov-Krasovskii functional and using the linear matrix inequality (LMI) approach, several sufficient conditions are obtained for ensuring the system to be globally uniformly asymptotically stable. A numerical example ...

The robust stabilization problem of chaos suppression for permanent magnet synchronous motors (PMSM) drive system is investigated in presence of parametric uncertainties. Based on control Lyapunov function (CLF) approach, a new state feedback controller is designed to realize the state of the system globally asymptotically stable. The stability of the proposed control scheme is verified via Lya...

A fictitious play algorithm with a unit memory length within an evolutionary environment is considered. The aggregate average behavior model is proposed and analyzed. The existence, uniqueness and global asymptotic stability of equilibrium is proved for games with a cycling property. Also, a noisy version of the algorithm is considered, which gives rise to a system with a unique, globally asymp...

This paper aims to give sufficient conditions for a cascade composed of nonlinear timevarying systems that are uniformly globally practically asymptotically stable (UGPAS) to be UGPAS. These conditions are expressed as relations between the Lyapunov function of the driven subsystem and the interconnection term. Our results generalise previous theorems that establish the uniform global asymptoti...

A complete stability analysis is performed on a planar system of the form _ = ( ) where is a Hurwitz matrix and is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable (GAS) or to have a closed trajectory are explicitly given in terms of the entries of . These conditions also indicate that the system always has a closed trajectory if i...

We consider the higher-order nonlinear difference equation xn 1 α xn / A Bxn xn−k , n 0, 1, . . ., where parameters are positive real numbers and initial conditions x−k, . . . , x0 are nonnegative real numbers, k ≥ 2. We investigate the periodic character, the invariant intervals, and the global asymptotic stability of all positive solutions of the abovementioned equation. We show that the uniq...

This note is concerned with the stabilization of control systems using an estimated state feedback. The global stabilization problem for a relatively broad class of nonlinear plants is discussed. Moreover, using the “input to state stability” property introduced by Sontag [l-4] and detectability condition, we show that the system citn be globally asymptotically stable using a state detection. @...

The problem of global finite-time stabilization is investigated in this paper. Using the finite-time Lyapunov stability theorem and the nonsmooth feedback design method developed recently, with a suitable twist, we prove that it is possible to achieve global finite-time stabilizability for a significant class of nonlinear systems which has been known not to be smoothly stabilizable, even locall...