时滞广义时变系统的渐近稳定与镇定

The Asymptotic Stability and Stabilization for Singular Time-Varying Systems with Time-Delay

研究了时滞广义时变系统的渐近稳定和镇定问题。首先利用相关不等式,通过建立Lyapunov方程,给出了1个时滞广义时变系统无脉冲、渐近稳定性的充分条件。然后,基于这一工作,利用Riccati方程,进一步研究了时滞广义时变系统的镇定问题。最后,举例说明该结论的可行性。

In this paper, the problem of asymptotic stability and the problem of stabilization for singular timevarying systems with time-delay are studied. First of all, a sufficient condition is derived based on matrix inequality, in which the system is found to be impulse-free and asymptotic stable, furthermore, based on this result, the problem of stabilization is considered by using the Riccati equation corresponding to this Lyapunov equation. Finally an example is given to illustrate the validity of the main results proposed.