A discrete-time system under finite wordlength implementation may demonstrate instability in its behavior. This instability is enhanced further in the presence of delays and parameter uncertainties. This paper, therefore, considers the problem of global asymptotic stability of a class of discrete-time systems in the presence of finite wordlength nonlinearities (combination of quantization and o...

We present a process-algebraic framework for performance evaluation of discrete-time discrete-event systems. The modeling of the system builds on a process algebra with conditionallydistributed discrete-time delays and generally-distributed stochastic delays. In the general case, the performance analysis is done with the toolset of the modeling language χ by means of discrete-event simulation. ...

This paper is concerned with the problem of robust static output feedback guaranteed cost control for a class of nonlinear discrete systems with mixed time-varying delays. The proposed controller uses the output measurement to robustly exponentially stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of improved Lyapunov-Krasovskii funct...

In this paper, we study the synchronization control problem for a class of discrete-time complex dynamical networks (CDNs) under an event-triggered mechanism (ETM). First, distributed periodic ETM is developed based on communication measurement. Under mechanism, signal sampled in manner, but whether updated or not depends pre-designed triggering condition. The sampling designed as measurement c...

Many of the distributed power control algorithms for wireless networks in the literature ignore the fact that while the algorithms necessitate communication among users, time-delays do exist in the network. This problem is of vital importance, since time-delays are omnipresent in wireless networks. The Foschini-Miljanic (FM) algorithm is provably stable if there are no time-delays in the execut...

Finite time synchronization, which means synchronization can be achieved in a settling time, is desirable in some practical applications. However, most of the published results on finite time synchronization don't include delays or only include discrete delays. In view of the fact that distributed delays inevitably exist in neural networks, this paper aims to investigate the finite time synchro...

In this paper, a generalized model of impulsive neural networks with periodic coefficients and both time-varying and distributed delays is investigated. By employing analytic methods, inequality technique and M -matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of the periodic oscillatory solution for impulsive neural networks with bot...