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

neutral systems Related Publications

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

Authors: I. Davies, O. 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, Lyapunov method, infinite delays, neutral systems, linear matrix inequality

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1 Delay-Dependent Stability Criteria for Linear Time-Delay System of Neutral Type

Authors: Sangmoon Lee, Myeongjin Park, Ohmin Kwon, Juhyun Park

Abstract:

This paper proposes improved delay-dependent stability conditions of the linear time-delay systems of neutral type. The proposed methods employ a suitable Lyapunov-Krasovskii’s functional and a new form of the augmented system. New delay-dependent stability criteria for the systems are established in terms of Linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. Numerical examples showed that the proposed method is effective and can provide less conservative results.

Keywords: Stability, time-delay, neutral systems, LMI, Lyapunovmethod

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