In this paper, a new approach based on structured singular value (μ -synthesis) is presented for the robust decentralized automatic generation controller design of a deregulated multi area power systems under the possible contracts. In each control area, the connections between this area and the rest of the system and the effects of possible contracts are treated as a set of new disturbance sig...

Many of the physical phenomena, like friction, backlash, drag, and etc., which appear in mechanical systems are inherently nonlinear and have destructive effects on the control systems behavior. Generally, they are modeled by hard nonlinearities. In this paper, two different methods are proposed to cope with the effects of hard nonlinearities which exist in friction various models. Simple inver...

Hopf-type nonlinearities have been recently found to be the basic mechanism of the mammalian cochlear response. Physiology requires that these nonlinearities be coupled. By suitably implementing a biomorphic coupling scheme of cochlear nonlinearities, we obtain a simple cochlea model that faithfully reproduces measured basilar membrane response, validating the utility of the Hopf amplifier conc...

The study of singular perturbations of the Dirichlet energy is at the core of the phenomenological-description paradigm in soft condensed matter. Being able to pass to the limit plays a crucial role in the understanding of the geometric-driven profile of ground states. In this work we study, under very general assumptions, the convergence of minimizers towards harmonic maps. We show that the co...

This paper introduces a sparse matrix discrete interpolation method to effectively compute matrix approximations in the reduced order modeling framework. The sparse algorithm developed herein relies on the discrete empirical interpolation method and uses only samples of the nonzero entries of the matrix series. The proposed approach can approximate very large matrices, unlike the current matrix...

We investigate time dependent parabolic problems of diiusion type on open subsets of R N+1 and on networks, where the domains are possibly unbounded or non-cylindrical. The coeecients are assumed to be continuous and may be singular or degenerate at the boundary. We are looking for solutions which belong locally to suitable Sobolev spaces and vanish at the boundary. The well-posedness of the ho...

‎This paper presents two main results that the singular values of the Hadamard product of normal matrices $A_i$ are weakly log-majorized by the singular values of the Hadamard product of $|A_{i}|$ and the singular values of the sum of normal matrices $A_i$ are weakly log-majorized by the singular values of the sum of $|A_{i}|$‎. ‎Some applications to these inequalities are also given‎. ‎In addi...

Spectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability...