Exponential stability of time-delay switched systems with delayed impulses. (Chinese. English summary) Zbl 1438.93196
Summary: This paper concerns the exponential stability for a class of time-delay switching systems with impulsive effects. The concept of average impulsive interval is used to reduce the system stability requirements for each impulse interval length. In view of the influence of impulse and time-delay in the system, some conditions for restraining system state change are improved. By constructing a uniform Lypunov function which is suitable for switching subsystems and impulsive functions simultaneously, the evolution of system continuous state and impulsive moment state is analyzed. The exponential stability of switching system under bounded time-delay impulse and arbitrary time-delay impulse is proved respectively.
MSC:
93D23 | Exponential stability |
93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
93C27 | Impulsive control/observation systems |
93C43 | Delay control/observation systems |