Abstract:

The author considered the stability problem of linear singularly perturbed systems with timedelay. Under the norm bounded uncertain matrix constraints, a new sufficient stability criterion was proposed by Lyapunov stability theory and matrix analysis method. This method is expressed in terms of linear matrix inequalities that does not require the system decomposition and reduction technique. Thus, the method is simple and feasible, which can be applied to both standard and nonstandard singularly perturbed systems with timedelay.

Key words: singularly perturbed systems, timedelay system, uncertain system, stability analysis, linear matrix inequality (LMI), LyapunovKrasovskii functional