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This paper proposes a novel Lyapunov-based excitation control (LEC) technique to deal with both global asymptotic stability and voltage regulation for the multi-machine power systems. Lyapunov function is built as a quadratic form of the control objectives consisted of active power offset, rotor speed offset and terminal voltage offset. A completely controllable linear system is constructed to design...
Using the Givone-Roesser model for m-D systems, a method for distributed information processing in rectangular grid based sensor networks is presented. The method enables a distributed implementation of linear systems on a sensor network. Nonlinearities caused by quantization schemes used for in node computations and inter node communication are modeled. Global asymptotic stability of the system under...
How to define an integral type mixed potential for a transmission line that is arbitrarily terminated on both ends by current or voltage controlled type nonlinear resistors, was exhibited to derive Brayton - Miranker's equations of the transmission line circuit providing complete stability (global asymptotic stability) conditions.
This paper investigates the problems of L2 stability and H∞ control problem of a class switched homogeneous nonlinear system via the semi-tensor product (STP) of matrices method. First, a homogeneous Lyapunov-like function in the form of STP is constructed. Based on this, the system in question is limited on to the unit sphere to be investigated, a switching law is designed to make sure that the normal...
How to define an integral type mixed potential for a transmission line circuit with one-port elements at the line ends was exhibited to derive Brayton - Moser's equations of the transmission line circuits. Moreover complete stability (global asymptotic stability) conditions of the transmission line circuits were established by using the integral type mixed potential and Brayton - Moser's equations...
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