Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

neutral systems Related Abstracts

2 Delay-Independent Closed-Loop Stabilization of Neutral System with Infinite Delays

Authors: Iyai Davies, Olivier L. C. Haas

Abstract:

In this paper, the problem of stability and stabilization for neutral delay-differential systems with infinite delay is investigated. Using Lyapunov method, new delay-independent sufficient condition for the stability of neutral systems with infinite delay is obtained in terms of linear matrix inequality (LMI). Memory-less state feedback controllers are then designed for the stabilization of the system using the feasible solution of the resulting LMI, which are easily solved using any optimization algorithms. Numerical examples are given to illustrate the results of the proposed methods.

Keywords: Stability, linear matrix inequality, Lyapunov method, infinite delays, neutral systems

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1 Advanced Stability Criterion for Time-Delayed Systems of Neutral Type and Its Application

Authors: S. H. Lee, M. J. Park, O. M. Kwon, C. H. Lee

Abstract:

This paper investigates stability problem for linear systems of neutral type with time-varying delay. By constructing various Lyapunov-Krasovskii functional, and utilizing some mathematical techniques, the sufficient stability conditions for the systems are established in terms of linear matrix inequalities (LMIs), which can be easily solved by various effective optimization algorithms. Finally, some illustrative examples are given to show the effectiveness of the proposed criterion.

Keywords: Stability, time-delay, neutral systems, LMI, Lyapnov method

Procedia PDF Downloads 180