分数阶线性时滞微分系统的有限时间稳定性.

The finite-time stability of fractional-order linear differential systems with time delays was studied. Firstly, with a new Lyapunov function and the linear matrix inequality, some sufficient conditions for the finite-time stability of fractional linear differential systems with time delays were derived. Then, under the action of a state feedback controller, some conditions for the finite-time stability of fractional differential closed-loop systems with time delays were given, and the design method for the controller was given. In the end, the effectiveness of the theoretical results was illustrated with two examples. [ABSTRACT FROM AUTHOR]