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In this paper, stability analysis for linear discrete-time systems with multiple time-varying delays is studied. Main results are given in terms of linear matrix inequalities formulation. It provides an efficient numerical method to analysis stability conditions of these systems.

In this paper, an improved delay-dependent asymptotic stability criterion for singular time-delay systems in terms of a strict linear matrix inequality (LMI) is investigated. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to be conservative.

For energy-constrained wireless sensor networks (WSNs), the topology control issue is fundamental and important to maximize the overall network lifetime. Recently a two-tiered network model has been proposed for this purpose. It is a cluster-based network model composed of application and sensor nodes. In this model the application nodes are easy to run out of energy because they not only serve as cluster heads for aggregating data packets from the sensor nodes in their clusters but also are responsible for forming a connected network topology for information dissemination at the higher tier. In order to balance nodes' power consumption and extend the topological lifetime of a WSN with regard to a certain amount of initial energy provision, we propose a logical three-tiered network model which consist of relay nodes (RNs), application nodes (ANs) and sensor nodes (SNs). Under this architecture, the goal of lower-tier SNs is to sense the playing fields and middle-tier ANs only need to gather data from their clusters; Upper-tier RNs are designed to route information as efficiently as possible. In this paper, we first formulate the three-tiered WSN's model as well as the power consumption model of WSNs. Then considering one dimension relaying, we figure out the RNs' optimal placement for each AN which can considerably minimize the total power consumption for WSNs. Finally, we give some criteria for two-dimension relaying.

Guaranteed cost control problem for discrete-time interconnected fuzzy large-scale systems with parametric uncertainties is considered in this paper. DSFGCC (Decentralized States Feedback Guaranteed Cost Controllers) are designed for the uncertain fuzzy large-scale system via LMI technology, which not only ensure asymptotic stability of the closed-loop fuzzy large-scale system, but also minimize the upper bound of a quadratic performance measure. A numerical example is also provided to show the validity of the approach proposed in this paper.

In this paper, we consider the stabilization of a class of nonlinear switched system based on multiple Lyapunov functions. Using multiple Lyapunov functions method as the main tool, we provide that there exists a feedback controller such that the system (2) is asymptotically stable.