Current Issue : July - September Volume : 2013 Issue Number : 3 Articles : 5 Articles
This paper discusses the global exponential stability of a class of difference equations.\r\nSufficient and necessary conditions for the global exponential stability are derived.\r\nParticularly, the equivalent relationship between the global exponential stability of\r\ndifference equations and the contractive property of the nonlinear operator of the\r\nsystems is shown....
A new quantization-dependent Lyapunov function is proposed to analyze the\r\nquantized feedback stabilization problem of systems with multiplicative noise. For\r\nconvenience of the proof, only a single-input case is considered (which can be\r\ngeneralized to a multi-input channel). Conditions for the systems to be quantized\r\nmean-square poly-quadratically stabilized are derived, and the analysis of H8\r\nperformance and controller design is conducted for a given logarithmic quantizer.\r\nThe most significant feature is the utilization of a quantization-dependent Lyapunov\r\nfunction, leading to less conservative results, which is shown both theoretically and\r\nthrough numerical examples....
In this study we investigate the possibility of broken bar fault detection in an\r\ninduction machine rotor using spectral analysis of the stator currents. The numerical\r\nmethod, presented in this work, based on the Hilbert transform shows the possibility\r\nof improving the detection of faults in electrical machines.\r\nThe results obtained using this method are validated experimentally on a test\r\nbench with an induction motor of 5.5 kW....
In this paper, we propose a discrete Lotka-Volterra competition system with infinite\r\ndelays and feedback controls. Sufficient conditions which ensure the global\r\nattractivity of the system are obtained. An example together with its numerical\r\nsimulation shows the feasibility of the main results....
Abstract\r\nIn this paper, a numerical solution of partial differential-algebraic equations (PDAEs) is\r\nconsidered by multivariate Pad�© approximations. We applied this method to an\r\nexample. First, PDAE has been converted to power series by two-dimensional\r\ndifferential transformation, and then the numerical solution of the equation was put\r\ninto a multivariate Pad�© series form. Thus, we obtained the numerical solution of\r\nPDAEs....
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