Robust Stability Of Large-scale Systems Research Articles

Robust Stability of Large-Scale Systems with Aftereffect

This article is devoted to the robust stability analysis of large-scale systems involving both discrete and distributed delays. Here, the robustness property is relative to uncertainties on the time-delay function as well as on model parameters. Differential inequalities and comparison principle lead to consider a simpler system, which stability implies the stability of original one. An application to Hopfield's neural networks illustrates the work.

Robust stabilization of large-scale systems with nonlinear uncertainties via decentralized state feedback

The present paper is concerned with the decentralized stabilization problem for a class of large-scale systems with time-varying interconnected matrices and nonlinear uncertainties. A new sufficient condition is proposed for asymptotically stabilizing the large-scale perturbed systems with a prescribed stability degree by using decentralized state-feedback controllers. All the information needed here is only the possible bounds of the time-varying interconnected matrices and nonlinear uncertainties. This condition is shown to be less conservative than the ones reported recently. The results can be extended to a class of large-scale systems with delays. Two illustrative examples are included to demonstrate the superiority of the obtained results.

Robust stability of large-scale systems which contain time-invariant lur'e-type uncertainties in subsystems and norm-bounded uncertainties in interconnections

In this paper a new frequency-domain condition for the robust stability of a class of large-scale systems is derived. It is assumed that each subsystem contains one time-invariant nonlinearity satisfying a sector condition, and that the interconnecting functions are linearly bounded by the norms of the scalar outputs of subsystems. In deriving the above such Lur'e-type Lyapunov functions of subsystems are constructed so that their weighted sum is a Lyapunov function of the overall system. This condition is potential to give a sharper result than the circle-condition-type result which was obtained previously. Furthermore, a method to estimate the domain of attraction using the above Lyapunov function is also given when the sector condition is satisfied only locally.