Although interval systems have received a great deal of attention, so far there is few work on neutral stochastic interval systems (NSIS) . The purpose of this paper is to initiate the study of NSIS. Using R^umikhin-t...Although interval systems have received a great deal of attention, so far there is few work on neutral stochastic interval systems (NSIS) . The purpose of this paper is to initiate the study of NSIS. Using R^umikhin-type technique, a sufficient condition of exponential stability on NSIS is given. It is interesting that the NSIS changes into general stochastic interval system when the neutral item disappeared. So the results in this paper generalize some conclusions existed.展开更多
An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criter...An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criteria of exponential stability are obtained based on norm inequality methods. A numerical example is given todemonstrate that those criteria are useful to analyzing the stability of nonlinear NCSs.展开更多
The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this co...The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this conjecture for complete k partite graph was proved, and the incidence chromatic number of complete k partite graphs was calculated.展开更多
基金This work was supported by the National Natural Science Foundation of China(No.60074008,60274007,60274026)the National Doctoral Foundation of China(No.20010487005)the Post-doctoral Fundation of China.
文摘Although interval systems have received a great deal of attention, so far there is few work on neutral stochastic interval systems (NSIS) . The purpose of this paper is to initiate the study of NSIS. Using R^umikhin-type technique, a sufficient condition of exponential stability on NSIS is given. It is interesting that the NSIS changes into general stochastic interval system when the neutral item disappeared. So the results in this paper generalize some conclusions existed.
文摘An uncertain nonlinear discrete-time system model with time-varying input delays for networked control systems (NCSs) is presented. The problem of exponential stability for the system is considered and some new criteria of exponential stability are obtained based on norm inequality methods. A numerical example is given todemonstrate that those criteria are useful to analyzing the stability of nonlinear NCSs.
文摘The concept of the incidence chromatic number of a graph was introduced by Brualdi and Massey. They conjectured that every graph G can be incidence colored with Δ (G) +2 colors. In this paper, the trueness of this conjecture for complete k partite graph was proved, and the incidence chromatic number of complete k partite graphs was calculated.
