Many impulsive phenomena from physics, control theory, and economics urge us toinvestigate measure large scale systems. In this paper, the variation of parameters formulaof the large scale systems containing measures ...Many impulsive phenomena from physics, control theory, and economics urge us toinvestigate measure large scale systems. In this paper, the variation of parameters formulaof the large scale systems containing measures is established. By means of inequality methods and comparison theory, the stability, uniform stability, asymptotic stability, uniformasymptotic stability, and exponential stability properties of linear measure large scale systems are studied.展开更多
This paper is devoted to the investigation of stability for singular and time-delay measure differential large scale systems with impulsive solution.With the help of Drazin inverse,the variation of parameters formula ...This paper is devoted to the investigation of stability for singular and time-delay measure differential large scale systems with impulsive solution.With the help of Drazin inverse,the variation of parameters formula of large scale singular systems containing measures and delays is obtained.Employing inequality methods and comparison theory,the stability properties of large scale systems are studied.展开更多
This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measur...This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measure differential large scale systems is first established. An application of the vector comparison theorem is given to demonstrate the effectiveness of our result.展开更多
文摘Many impulsive phenomena from physics, control theory, and economics urge us toinvestigate measure large scale systems. In this paper, the variation of parameters formulaof the large scale systems containing measures is established. By means of inequality methods and comparison theory, the stability, uniform stability, asymptotic stability, uniformasymptotic stability, and exponential stability properties of linear measure large scale systems are studied.
文摘This paper is devoted to the investigation of stability for singular and time-delay measure differential large scale systems with impulsive solution.With the help of Drazin inverse,the variation of parameters formula of large scale singular systems containing measures and delays is obtained.Employing inequality methods and comparison theory,the stability properties of large scale systems are studied.
文摘This paper is devoted to the investigation of Lyapunov's second method for the stability of measure differential large scale systems containing impulses. The vector comparison principle of the stability of measure differential large scale systems is first established. An application of the vector comparison theorem is given to demonstrate the effectiveness of our result.
