Problém priradenia parciálnych charakteristických hodnôt lineárnych riadiacich systémov použitím ortogonálnych závislostí The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant. In the paper, we propose a novel solution to the partial eigenvalue assignment problem of li...

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...

In this paper, we propose a parametric solution to the partial eigenvalue assignment problem by state feedback control for non-symmetric quadratic pencil in multi-input case using orthogonality relations between eigenvectors. Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding eigenvectors of non-symmetric quadratic pencil. We show that the number...

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...

Partial pole assignment in active vibration control refers to reassigning a small set of unwanted eigenvalues of the quadratic eigenvalue problem (QEP) associated with the second order system of a vibrating structure, by using feedback control force, to suitably chosen location without altering the remaining large number of eigenvalues and eigenvectors. There are several challenges of solving t...

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...

Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust eigenvalue assignment problem in descriptor linear systems via output feedback is solved. The problem aims to assign a set of finite closed-loop eigenvalues which have minimum sensitivities with respect to perturbations in the closed-loop coefficient matric...