New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities

Delay-dependent condition for absolute stability of Lurie control systems with multiple time delays and nonlinearities

“…Furthermore, a convex optimization determine the maximum upper bound h max on the admissible delay such that the Lurie system with multiple time delays and nonlinearities will be guaranteed to be absolute stable for all time delays such that h h max . The numerical example demonstrates that our condition is less conservative than that in [9][10][11][12][13][14].…”

“…. , k), as used in [14] and using the descriptor model transformation method which was first outlined in [17] combined with Newton-Leibniz formula. The original system is transformed to:…”

“…Based on this, the delay-dependent absolute stability conditions are surveyed and proposed in [9][10][11][12][13][14]. By employing the approach of linear matrix inequality (LMI), many novel conditions for delaydependent absolute stability of Lurie system are obtained in [13,14]. The advantage of this method is that it uses free weighting matrices to express those relationships.…”

“…Based on the descriptor system approach and using the method of decomposing the matrices mentioned in [14], the problem of absolute stability for Lurie system with multiple delays and nonlinearities is considered in our paper. Based on LMI approach, a delay-dependent sufficient condition for the absolute stability as the feasibility problem of a certain LMI system is derived in this paper.…”

“…These criterions are not suitable to the closed-loop systems which are open-loop unstable and are needed to be stabilized by inputting delays. Based on this, the delay-dependent absolute stability conditions are surveyed and proposed in [9][10][11][12][13][14]. By employing the approach of linear matrix inequality (LMI), many novel conditions for delaydependent absolute stability of Lurie system are obtained in [13,14].…”