In this paper, a decentralized adaptive neural controller is proposed for a class of large-scale nonlinear systems with unknown nonlinear, non-affine subsystems and unknown nonlinear time-delay interconnections. The stability of the closed loop system is guaranteed through Lyapunov-Krasovskii stability analysis. Simulation results are provided to show the effectiveness of the proposed approache...

In this article we establish the uniqueness of solutions to first-order matrix dynamic equations on time scales. These results extend the results presented in [16], to more complex systems of n × n matrices. Following the ideas in [5, Chap 5], we identify Lipschitz conditions that are suitable for generalizing n× n models on time scales.

We introduce multi-scale filtering by the way of certain double convolution systems. We prove stability theorems for these systems and make connections with function theory in the poly-disc. Finally, we compare the framework developed here with the white noise space framework, within which a similar class of double convolution systems has been defined earlier.

-In this paper, an asymptotically stabilizing composite feedback control is proposed for a class of two-time-scale neutral systems with multiple time delays. The state feedback controls for the asymptotic stability of the slow neutral subsystem and the fast subsystem are first presented. Moreover, a stability bound   of small positive parameter  is given such that the original system under t...

* 0-7803-7952-7/03/$17.00 © 2003 IEEE Abstract In this paper, the robust stability problem for a class of uncertain two-time-scale neutral systems subject to unstructured perturbations is investigated. The properties of ∞ H -norm are used throughout this paper to derive the robust stability criterion. A frequency-domain delay-dependent criterion for the asymptotic stability of the slow neutral ...