The application of auxiliary simultaneous equations to the problem in the stabilization of singular and impulsive large scale systems

The auxiliary simultaneous equations in the theory of large scale systems play an important role. This method is first applied to the problem in the stabilization of singular and impulsive large scale systems (SILSS) in this paper. The coefficient matrix expression of the auxiliary simultaneous equations that can be written out directly following the Lyapunov function of subsystems and the coefficient matrix of the original system with the operation of block matrix are given. Some explicit algebraic criteria of stabilization for the system are established. An example is given to illustrate the effectiveness of the method. >

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