Control of linear time-delay switched systems with convergent speed constraints

This paper concerns the control of linear time-delay switched systems with convergent speed constraints, namely interval exponential stability control. In the stability analysis, the interval exponential stability condition is acquired by introducing new inequalities to control the norm of the state between two about time exponents. Compared with the existing exponential stability conditions, the interval exponential stability criterion can more accurately judge the speed of the system tending to stability. Then, the method of constructing state feedback controller is given by the above stability analysis, which can restrict the stabilization speed and ensure the exponential stability of the system. Finally, a numerical example is employed to corroborate the usefulness of the method.