In this work, N-periodic linear singular systems are considered. Feedbacks for obtaining positive N-periodic singular systems are analyzed. Some properties on the existence of these feedbacks are established. The concept of holdability of the setR+ is used for getting a positive trajectory of the closed-loop singular systems. This paper examines how feedbacks can be used to modify the trajector...

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...

We present in this paper a structural decomposition for linear multivariable singular systems. Such a decomposition has a distinct feature of capturing and displaying all the structural properties, such as the finite and infinite zero structures, invertibility structures, and redundant dynamics of the given system. As its counterpart for non-singular systems, we believe that the technique is a ...

in this paper, time-domain dynamic analysis of dam - infinite reservoir is studied. a numerical method, discrete singular convolution (dsc), which seems to be efficient and simple, has been used to model the mixed boundary conditions. after a brief introduction, dsc is applied to model the equation of motion of fluid-structure with constant cross section subjected to el-centro (1940) earthquake...

Consider the linear time-invariant singular system Eẋ(t) = Ax(t) + Bu(t) (1) where E, A ∈ Rn×n, B ∈ Rm×n ,C ∈ R p×n and D ∈ R p×m . The system is assumed to be regular det [s E − A] = 0. Systems of the above form are usually called singular systems, descriptor systems, generalized state space systems, semistate systems, etc. It is easily seen that when E is non-singular then (1) may be rewritte...