DC microgrids (MGs) are complex systems connecting a number of renewable energy sources to different types loads based on distributed networks. However, the strong reliance communication networks makes MGs vulnerable intentional cyber-attacks. In this paper, attack detection scheme is presented for MG system by proposing an observer. The proposed detector able detect attacks with only local kno...

A new result that allows the selection of sliding hyperplane coeecients in Observer-Based Discrete-Time Sliding Mode Control (OBDSMC) is presented. Selection of co-eecients is done by analyzing the tracking error dynamics inside the boundary layer-where the closed-loop system has a linear state feedback connguration-rather than assuming that the sliding function has already converged to zero. T...

In this paper we study mathematically the eigenvalue problem for stochastic elliptic partial differential equation of Wick type. Using the Wick-product and the Wiener-Itô chaos expansion, the stochastic eigenvalue problem is reformulated as a system of an eigenvalue problem for a deterministic partial differential equation and elliptic partial differential equations by using the Fredholm altern...

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...

The minimum-gain eigenvalue assignment/pole placement problem (MGEAP) is a classical in linear time-invariant systems with static state feedback. In this article, we study the MGEAP when feedback has arbitrary sparsity constraints. We formulate sparse as an equality-constrained optimization and present analytical characterization of its locally optimal solution terms eigenvector matrices closed...

This paper models and analyses downlink power assignment feasibility in Code Division Multiple Access (CDMA) mobile networks. By discretizing the area into small segments, the power requirements are characterized via a matrix representation that separates user and system characteristics. We obtain a closed-form analytical expression of the so-called Perron-Frobenius eigenvalue of that matrix, w...