Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach

作者：Deng Shaojiang; Liao Xiaofeng^*; Guo Songtao

来源：Mathematics and Computers in Simulation, 2009, 79(10): 2981-2993.

DOI：10.1016/j.matcom.2009.01.005

• Neutral differential equations
• Linear matrix inequality
• Asymptotic stability
• Delay-dependent/delay-independent criteria

Based on the descriptor and "neutral type" model transformation, some corresponding Lyapunov-Krasovskii functionals are introduced for stability analysis of certain neutral differential equations. Delay-dependent and delay-independent stability criteria are given in terms of linear matrix inequalities. The proposed criteria are less conservative and restrictive than other existing criteria since they are based on an equivalent neutral model transformation or parameterized transformation. Examples are given to illustrate advantages of our approach.

• 出版日期2009-6
• 单位重庆大学