This paper studies robustness of Kelly’s source and link control laws in (J. Oper. Res. Soc. 49 (1998) 237) with respect to disturbances and time-delays. This problem is of practical importance because of unmodelled $ows, and propagation and queueing delays, which are ubiquitous in networks. We ;rst show Lp-stability, for p∈ [1;∞], with respect to additive disturbances. We pursue L∞-stability w...

This paper studies robustness of a gradient-type CDMA uplink power control algorithm with respect to disturbances and time-delays. This problem is of practical importance because unmodeled secondary interference effects from neighboring cells play the role of disturbances, and propagation delays are ubiquitous in wireless data networks. We first show Lp -stability, for p ∈ [1,∞] , with respect ...

We consider a control problem for a single bioreaction occuring in a continuous and well mixed bioreactor, assuming that the bioreaction’s kinetics is not represented by a validated model. We develop a nonlinear controller and prove the global asymptotic stability of the closed loop system towards the equilibrium corresponding to the set point. Since this control law needs the knowledge of some...

Global asymptotic stability of BAM neural networks with time-varying delays Bao-Zhu ZHAO, Juan HE , Xiu-Hong GUO 1 Foundation department, Sichuan TOP Vocational Institute of Information Technology, Chengdu, Sichuan, China 611743 E-mail: [email protected] Received: 3-03-2012; Accepted: 5-10-2012 *Corresponding author Abstract This paper presents a sufficient condition for the existence, uniqueness...

This paper considers the problem of robust stabilization for a class of uncertain nonlinear systems which involve a base system with a control input and a forwarding structure. Both parts of the system are allowed to be nonlinear, multidimensional, and containing uncertain parameters. We present a new approach to design stabilizing controllers which assure both robust global asymptotic stabilit...

We establish, as far as we know, the first proof of uniform global asymptotic stability for a mechanical system (Euler-Lagrange) in closed loop with a dynamic controller which makes use only of position measurements. The controller is fairly simple, it is reminiscent of the so-called PadenPanja controller [20] where unavailable generalized velocities are replaced by approximate differentiation ...

The Lotka-Volterra competition model with diffusion and time delays has been the object of analysis by numerous authors under different approaches. For the case of two species, Ruan and Zhao 1 considered uniform persistence and global extinction; Lu 2 studied global attractivity, and Gourley and Ruan 3 analyzed stability and traveling fronts. The periodic case has also been considered, Feng and...

This paper deals with the global asymptotic stability problem for Hopfield neural networks with time-varying delays. By resorting to the integral inequality and constructing a Lyapunov-Krasovskii functional, a novel delay-dependent condition is established to guarantee the existence and global asymptotic stability of the unique equilibrium point for a given delayed Hopfield neural network. This...

This paper is concerned with the stability problem with two additive time-varying delay components. By choosing one augmented Lyapunov-Krasovskii functional, using some new zero equalities, and combining linear matrix inequalities (LMI) techniques, two new sufficient criteria ensuring the global stability asymptotic stability of DNNs is obtained. These stability criteria are present in terms of...

This paper studies robustness of Kelly’s source and link control laws in [1] with respect to disturbances and time-delays. This problem is of practical importance because of unmodeled flows, and propagation and queueing delays, which are ubiquitous in networks. We first show Lp-stability, for p ∈ [1,∞], with respect to additive disturbances. We pursue L∞-stability within the input-to-state stab...