we develop and apply the product integration method to a large class of linear weakly singular volterra systems. we show that under certain sufficient conditions this method converges. numerical implementation of the method is illustrated by a benchmark problem originated from heat conduction.

We address exponential stability of switched nonlinear singular systems with time-delay in which delay is time varying and presents in the states. For switched nonlinear singular time-delay systems with average dwell-time switching signals, we provide sufficient conditions, in terms of linear matrix inequalities (LMIs) to guarantee the exponential stability of such systems. By using Lyapunov–li...

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive singular perturbed systems with time-varying delay is investigated by employing Lyapunov functions. The nonlinear delay system is built based on the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for global expo...

Abstract. A nonlinear measure, namely multi-interdependency, is proposed to detect the essential nodes in heterogeneously dynamical networks. The method is based upon the conceptions of the nearest conditional neighbors and singular value decomposition (SVD). Numerical results show that the value of multi-interdependency is positively correlated with the degree of nodes, which is beneficial to ...

Implicit time stepping procedures for the time dependent Stokes problem lead to stationary singular perturbation problems at each time step. These singular perturbation problems are systems of saddle point type, which formally approach a mixed formulation of the Poisson equation as the time step tends to zero. Preconditioners for discrete analogous of these systems are discussed. The preconditi...

In this work we study the concept of instantaneous time mirrors that were recently introduced in physics literature [V. Bacot et al., Nature Phys., 12 (2016), pp. 972--977]. They offer a new...

This paper concerns the asynchronous stabilization problem of switched singular systems with interval time-varying delays. In ideal cases, the stabilizing controller is designed under the assumption that the switching times between the system and the controller are exactly the same. In fact, there are time-delays in the switching signal of the controller, which results in asynchronous switching...