We present the principle of trajectory space comparison for text-independent speaker recognition and some solutions to the space comparison problem based on vector quantization. The comparison of recognition rate of diierent solutions is reported. Experimental system achieved 99.5% text-independent speaker recognition rate for 23 speakers, using 5 phrases for training and 5 for test. A speaker-...

We present a new comparison principle by introducing a notion of upper quasi-monotone nondecreasing and obtain the practical stability criteria for set valued differential equations in terms of two measures on time scales by using the vector Lyapunov function together with the new comparison principle.

This paper studies discrete impulsive hybrid systems. The comparison principle and uniform stability are established for such hybrid systems. Moreover, the attraction region is estimated. As applications, the comparison principle is used to study the robust stability problem for linear interval discrete impulsive hybrid systems and a class of nonlinear uncertain discrete impulsive hybrid systems.

The spectral flow is a well-known quantity in theory that measures the variation of spectra about 0 along paths selfadjoint Fredholm operators. aim this work twofold. Firstly, we consider homotopy invariance properties and establish simple formula which comprises its classical yields comparison theorem for under compact perturbations. We apply our result to existence non-trivial solutions bound...