Stabilization of switched neural networks with time‐varying delay via bumpless transfer control

Abstract

This paper investigates the stabilization of switched neural networks with time‐varying delay. In order to overcome the drawback that the classical switching state feedback controller may generate the bumps at switching time, a new switching feedback controller which can smooth effectively the bumps is proposed. According to mode‐dependent average dwell time, new exponential stabilization results are deduced for switched neural networks under the proposed feedback controller. Based on a simple corollary, the procedures which are used to calculate the feedback control gain matrices are also obtained. Two simple numerical examples are employed to demonstrate the effectiveness of the proposed results.

H∞ bumpless transfer control of switched systems with time‐varying delays

“…In Nojoumian et al [19], the asynchronous bumpless stabilization results for uncertain linear switched positive systems with mixed time delay were deduced. According to the linear gain interpolation, the bumpless stabilization results for delayed switched neural networks are gained in Liu et al [20]. The finite‐time $$$ {H}_{\infty } $$$ control problem was captured for the switched systems with constant delays by designing both bumpless transfer controller and state‐dependent switching rule [21].…”