With explosion of data size and limited storage space at a single location, data are often distributed at different locations. We thus face the challenge of performing largescale machine learning from these distributed data through communication networks. In this paper, we study how the network communication constraints will impact the convergence speed of distributed machine learning optimizat...

This paper considers H∞ performance for Markovian jump systems with Time-varying delays. The systems under consideration involve disturbance signal, Markovian switching and timevarying delays. By using a new Lyapunov-Krasovskii functional and a convex optimization approach, a delay-dependent stability condition in terms of linear matrix inequality (LMI) is addressed, which guarantee asymptotica...

This paper is concerned with the stability analysis of networked control systems (NCSs) with random delays in the control loop. The time delay between sensor and controller is modeled as a Markov process, the time delay between controller and actuator is assumed constant. A sampled-data system approach is considered. We assume that the controller is able to monitor the transmission delay which ...

In this paper, the delay-dependent robust resilient H∞ control is investigated for singular time-delay systems with norm-bounded parameter uncertainty. First, a new delaydependent bounded real lemma (BRL) for the nominal singular time-delay system is established. Then the problem of robust resilient H∞ control is solved via a resilient controller with respect to additive and multiplicative cont...

Convex conditions, expressed as linear matrix inequalities (LMIs), for stability analysis and robust design of uncertain discrete-time systems with time-varying delay are presented in this paper. Delaydependent and delay-independent convex conditions are given. This paper is particularly devoted to the synthesis case where convex conditions are proposed to consider maximum allowed delay interva...

Abstract: In this paper, the robust D-stability problem for discrete uncertain multiple time-delay systems is examined on the basis of their such reduced-order models (the slow and fast subsystems), which are obtained by time-scale separation method. Under the condition that the slow and fast subsystems of the nominal system are both D(α, r)-stable, a D-stability criterion for the slow and fast...

A network of noisy bistable elements with global timedelayed couplings is considered. A dichotomous mean field model has recently been developed describing the collective dynamics in such systems with uniform time delays near the bifurcation points. Here the theory is extended and applied to systems with nonuniform time delays. For strong enough couplings the systems exhibit delay-independent s...

The stability of discrete systems with time-varying delay is considered. New delaydependent stability criteria are devised, which are dependent on the minimum and maximum delay bounds. An initial analysis leads to a criterion depending on an inequality involving certain matrices that can be freely chosen. By carefully choosing them to reflect the appropriate relationship between states at diffe...

This paper is mainly concerned with the globally exponential stability in mean square of uncertain neutral stochastic systems with mixed delays and Markovian jumping parameters. The mixed delays are comprised of the discrete interval time-varying delays and the distributed time delays. Taking the stochastic perturbation and Markovian jumping parameters into account, some delaydependent sufficie...

Abstract This paper studies the problem of stability analysis for descriptor systems with time-varying delay. By developing a delayed decomposition approach, information of the delayed plant states can be taken into full consideration, and new delay-dependent sufficient stability criteria are obtained in terms of linear matrix inequalities (LMIs). Then, based on the Lyapunov method, delaydepend...