Stability analysis for neutral systems with mixed delays

Authors:
Xin-Ge Liu;Min Wu;Ralph Martin;Mei-Lan Tang
Affiliations:
School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, China and School of Information Science and Engineering, Central South University, Changs ...;School of Information Science and Engineering, Central South University, Changsha, Hunan 410083, China;School of Computer Science, Cardiff University, Cardiff, UK;School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

Relationships between system states contained in the neutral equation are used to address the delay-dependent stability of a neutral system with time-varying state delay. Using linear matrix inequalities, we present a new asymptotic stability criterion, and a new robust stability criterion, for neutral systems with mixed delays. Since the criteria take into account the sizes of the neutral delay, discrete delay and the derivative of discrete delay, they are less conservative than those produced by previous approaches. Numerical examples are presented to demonstrate that these criteria are indeed more effective.