In this paper, the problem of delay-dependent robust absolute stability of uncertain multiple time-delayed Lur'e systems with sector-bounded nonlinearity is investigated. The nonlinearity is assumed to be both time-invariant and time-varying. Based on the Lyapunov-Krasovskii stability theory and matrix decomposition method, some delay-dependent sufficient conditions for the robust absolute stab...

Human controllers as pilots or drivers can be described by linear time invariant systems cascaded with time delay. Inspired by this, we ‘generalize’ the definition of passivity index to irrational transfer functions and use the passivity index to examine passivity of some existing human models. The results show that the human model is non-passive due to the time delay which represents inherent ...

An important consideration in traffic signal control is that traffic arrivals are not deterministic. The effect of stochastic arrivals in the past has been mainly dealt with by introducing stochastic terms in delay formulae. While convenient, this approach is somewhat indirect. Moreover, when the degree of saturation is high, the system becomes highly transient; it is debatable whether a static...

Abstract—Decentralized control of bilateral teleoperation systems with time delays is considered within the H optimization framework. We demonstrate that the problem is quadratically invariant and can be split into two independent model matching optimizations with partial multiplicative delay. The recent loop shifting techniques for delayed systems control are used then to find a complete analy...

The delay-dependent decentralized stabilization problem of multi-channel singular time-delay time-invariant systems subject to multiple internal and external incommensurate constant point delays is discussed based on the descriptor integral-inequality approach. The descriptor integral-inequality Lemma is firstly established. Based on the new Lemma and the Lyapunov-Krasovskii functional approach...

Starting from delay equations that model field retardation effects, we study the origin of runaway modes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are small, we argue that the physically significant solutions belong to the so-called slow manifold of the system and we identify this invariant manifold with th...

Starting from delay equations that model field retardation effects, we study the origin of runaway modes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are small, we argue that the physically significant solutions belong to the so-called slow manifold of the system and we identify this invariant manifold with th...

Starting from delay equations that model field retardation effects, we study the origin of runaway modes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation effects are small, we argue that the physically significant solutions belong to the so-called slow manifold of the system and we identify this invariant manifold with th...

Abstract: This paper considers the problemof persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the desig...

Abstract: The decentralized robust servomechanism problem, which is to design decentralized stabilizing controllers such that each decentralized output robustly tracks a given reference signal in the presence of certain disturbances, is considered for linear time-invariant time-delay systems of neutral type with discrete delays. The reference signals and the disturbance are assumed to satisfy a...