Singular nonlinear systems has been of interest to some investigators [4, 12], however no closed-form solution was given in [4, 12]. In some analysis of neural networks, both singular systems [8] and bilinear systems [16] have been used. For singular bilinear systems, Lewis et al. [11] applied the Walsh function (WF) approach for time-invariant singular bilinear systems and Hsiao and Wang [9] u...

the problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues ...

The synthesis of a feedforward unit for H2 optimal decoupling of measurable or previewed signals in discrete-time linear time-invariant systems is considered. It is shown that an H2 optimal compensator can be achieved by connecting a finite impulse response (FIR) system and a stable dynamic unit. To derive the FIR system convolution profiles an easily implementable computational scheme based on...

This paper discussed an improvement algorithm of image digital watermarking based on the discrete wavelet transform (DWT) and singular value decomposition (SVD). In this algorithm, a good characteristic of multiresolution and time-frequency local analysis of discrete wavelet transform combining with image intrinsic algebraic properties of SVD. After decomposing the original host image into four...

In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order given by w''-1/r w'=w^2/(2r^2 )+1/2 λ r^2. The problem depends on the parameter λ and admits multiple solutions. Therefore, it is difficult to...

This paper investigates the problems of asymptotic and robust stability for large-scale discrete state-delayed systems. By means of discrete-type sum inequality approach, an augmented Lyapunov-Krasovskii functional and discrete-type singular model transformation strategy, a new delay-dependent criterion is derived in order to guarantee the robust stability of the above systems. The proposed sta...