in this paper, a novel compensator based on magnetically controlled reactor with fixed capacitor banks (fc-mcr) is introduced and then power system stability in presence of this compensator is studied using an intelligent control method. the problem of robust fc-mcr-based damping controller design is formulated as a multi-objective optimization problem. the multi-objective problem is concocted ...

Quantum phase estimation algorithm finds the ground state energy, the lowest eigenvalue, of a quantum Hamiltonian more efficiently than its classical counterparts. Furthermore, with different settings, the algorithm has been successfully adapted as a sub frame of many other algorithms applied to a wide variety of applications in different fields. However, the requirement of a good approximate e...

We describe a new universality class for unitary invariant random matrix ensembles. It arises in the double scaling limit of ensembles of random n × n Hermitian matrices Z −1 n,N | det M | 2α e −N Tr V (M) dM with α > −1/2, where the factor | det M | 2α induces critical eigenvalue behavior near the origin. Under the assumption that the limiting mean eigenvalue density associated with V is regul...

The rational eigenvalue problem is an emerging class of nonlinear eigenvalue problems arising from a variety of physical applications. In this paper, we propose a linearization-based method to solve the rational eigenvalue problem. The proposed method converts the rational eigenvalue problem into a well-studied linear eigenvalue problem, and meanwhile, exploits and preserves the structure and p...

In this paper, the concepts of Pareto H -eigenvalue and Pareto Z -eigenvalue are introduced for studying constrained minimization problem and the necessary and sufficient conditions of such eigenvalues are given. It is proved that a symmetric tensor has at least one Pareto H -eigenvalue (Pareto Z -eigenvalue). Furthermore, theminimumPareto H -eigenvalue (or Pareto Z -eigenvalue) of a symmetric ...

In this paper, a fundamentally new method, based on the denition, is introduced for numerical computation of eigenvalues, generalized eigenvalues and quadratic eigenvalues of matrices. Some examples are provided to show the accuracy and reliability of the proposed method. It is shown that the proposed method gives other sequences than that of existing methods but they still are convergent to th...

The notes below will serve as the basis for the module lectures to be given on the topics of Jordan form, nonnegative matrices, and Markov chains. As you'll see, most of the proofs have been omitted in the notes. The intention is to sketch the proofs during the lectures, but also to have the students work through some of the details (using references such as those listed at the end of this docu...