线性时滞不确定性系统的稳定性

Stability of Linear Systems With Time-delay and Uncertainties

研究了一类线性时滞不确定性的动态系统的时滞无关渐近稳定性。利用Lyapunov稳定性理论,通过求解一个矩阵代数不等式,导出了时滞无关渐近稳定性的充分条件,并给出了几个简单易验证的代数判据。

The stability T of a class of linear dynamic systems with time-delay and uncertainties is investigated. Utilizing the Lyapunov stability theory, a sufficient condition for delay-independent stability is drived by means of solving a matrice algebraic inequality. Several algebraic criteria, which are simple and easy checked, are presented.