Technical communique: A new delay-dependent absolute stability criterion for a class of nonlinear neutral systems

By Qing-Long Han. 2008

77 citations recorded by the source corpus.

This paper deals with absolute stability for a class of nonlinear neutral systems using a discretized Lyapunov functional approach. A delay-dependent absolute stability criterion is obtained and formulated in the form of linear matrix inequalities (LMIs). The criterion is valid not only for systems with small delay, but also for systems with non-small delay. Neither model transformation nor bounding technique for cross terms, nor free weighting matrix method is involved through derivation of the stability criterion. Numerical examples show that for small delay case, the results obtained in this paper significantly improve the estimate of the stability limit over some existing result in the literature; for non-small delay case, the ideal results can also be achieved.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/4f1e77c9fa0ecd7aadca00344e5277d541834d69

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Mou Chen
2. Wen‐Hua Chen

In Computer Networks and Communications

1. Mou Chen
2. Wen‐Hua Chen
3. Shaocheng Tong
4. Xu Jin

In Control and Systems Engineering

1. Mou Chen
2. Wen‐Hua Chen
3. Shuzhi Sam Ge
4. Rongxin Cui
5. Gang Tao
6. Qingxian Wu
7. Shaocheng Tong
8. Xu Jin

Citations in the corpus

• Disturbance-observer-based robust control for time delay uncertain systems (2010, background): “Han [ 7 ] studied the absolute stability for a class of nonlinear neutral systems using a discretized Lyapunov functional approach.”