Further results on delay-dependent robust stability conditions of uncertain neutral systems

Abstract

SUMMARYThis paper deals with the problem of robust stability analysis for uncertain neutral systems. In terms of a linear matrix inequality (LMI), an improved delay-dependent asymptotic stability criterion is developed without using bounding techniques on the related cross product terms. Based on this, a new delaydependent LMI condition for robust stability is obtained. Numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

“…Using Theorem 3.1, the obtained value is 0.6704, which is much larger than those in [14,[6][7][8]25]. If setting C = 0, this system reduces to a retarded type time-delay system.…”

“…The maximum upper bounds on the delay obtained in [14,[6][7][8]25] are 0.5735, 0.5937, 0.6054, 0.6189 and 0.6612 respectively. Using Theorem 3.1, the obtained value is 0.6704, which is much larger than those in [14,[6][7][8]25].…”

“…Using the Lyapunov-Razumikhin functional approach or the Lyapunov-Krasovskii functional approach several stability criteria have been proposed for delay-independent [11,12] and delay-dependent stability criteria [13][14][15] cases. Since delayindependent conditions are usually more conservative than the delay-dependent conditions, more attention has been paid to the study of delay-dependent conditions.…”

Delay-dependent robust stabilization for a class of neutral systems with nonlinear perturbations

“…Therefore, for this example, the delaydependent stability condition in this note is more effective than that in [16]. Example 4 Consider the problem of finding a statefeedback stabilizing controller for a nominal system considered in [18] with…”

Synchronization of neutral complex dynamical networks with coupling time-varying delays

“…This kind of complex dynamical network is termed as neutral complex dynamical network, which contains delays both in its states and in the derivatives of its states [18]. Practically, the phenomena on neutral time delays often appear in the study of automatic control, population dynamics, partial element equivalent circuits and transmission lines in electrical engineering, controlled constrained manipulators in mechanical engineering, and so on [19][20][21]. For instance, when the complex dynamical network is used to model a stock transaction system, each node's state is defined as an agent's behavior, such as buying, selling and holding, which is driven dynamically by judging the situation at the time and the historical fluctuating rate records.…”