We present an analysis for minimizing the condition number of nonsingular parameter-dependent 2 2 block-structured saddle-point matrices with a maximally rank-deficient (1,1) block. The matrices arise from an augmented Lagrangian approach. Using quasidirect sums, we show that a decomposition akin to simultaneous diagonalization leads to an optimization based on the extremal nonzero eigenvalues ...

Answer: The purpose of introducing a constant matrix X in Theorem 2 is to make a decoupling between the matrix function P (ri,j) and the system dynamic matrices in Theorem 1. This decoupling technique enables us to obtain a more easily tractable condition for the filter synthesis. Therefore, the matrix X cannot be selected to be parameter-dependent. It seems that some conservatism will be intro...

In this paper, we investigate the problem of robust dynamic parameter-dependent output feedback (RDP-DOF) stabilization underH∞ performance index for a class of linear time invariant parameter-dependent (LTIPD) systems with multi-time delays in the state vector and in the presence of normbounded non-linear uncertainties. Using Hamiltonian–Jacobi–Isaac (HJI) method and the idea of polynomial par...

In this work we discuss existence, uniqueness and asymptotic profiles of positive solutions to the quasilinear problem { −Δpu+ a(x)up−1 = −u in Ω, |∇u|p−2 ∂u ∂ν = λup−1 on ∂Ω for λ ∈ R, where r > p − 1 > 0, a ∈ L∞(Ω). We analyze the existence of solutions in terms of a principal eigenvalue, and determine their asymptotic behavior both when r → p− 1 and when r → ∞.

This paper presents parameter identification technique to quantify the faults in motor condition monitoring. Genetic Algorithm (GA) has been used as a key technique to estimate the motor parameters. The zero-sequence voltage equation for the stator has been used as a model to estimate motor stator parameters – the stator resistance and the stator leakage inductance. The comparison of the parame...

We investigate the spectrum of the differential operator Lλ defined by the Klein-Gordon s-wave equation y′′ +(λ−q(x))2y = 0, x ∈R+ = [0,∞), subject to the spectral parameterdependent boundary condition y′(0)−(aλ+b)y(0)= 0 in the space L(R+), where a≠±i, b are complex constants, q is a complex-valued function. Discussing the spectrum, we prove that Lλ has a finite number of eigenvalues and spect...

Copyright q 2012 Z. S. Aliyev and N. B. Kerimov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider the fourth-order spectral problem y 4 x − q x y′ x ′ λy x , x ∈ 0, l with spectral parameter in the boundary condition. W...

the effect of partial slip and temperature dependent fluid properties on the mhd mixed convection flow from a heated, non-linearly stretching surface in the presence of radiation and non-uniform internal heat generation/absorption is investigated. the velocity of the stretching surface was assumed to vary according to power-law form. thermal transport is analyzed for two types of non-isothermal...