We discuss the relation between exponential stabilization and asymptotic controllability of nonlinear control systems with constrained control range at singular points. Using a discounted optimal control approach, we construct discrete feedback laws minimizing the Lyapunov exponent of the linearization. Thus we obtain an equivalence result between uniform exponential controllability and uniform...

In this research work adopted the frequency domain watermarking scheme which is embedded using discrete wavelet transform (DWT) and singular value decomposition (SVD). By singular values factoring it represent smaller set of values and it can preserve constructive feature of an original image. After that, apply discrete wavelet transform in decomposed in low frequency sub-band on both images to...

Abstract First, this paper uses the Lyapunov stability function to construct time-space implicit calculus equation model of integrated manufacturing single-chip microcomputers for abnormal diffusion phenomenon. Secondly, we use differential data fusion algorithm modeling discrete system and introduce method. Finally, article singular boundary method give simulation results. The study found that...