We use a topology optimization method to design 1-3 piezocomposites with optimal performance characteristics for hydrophone applications. The performance characteristics we focus on are the hydrostatic charge coefficient d spd h , the hydrophone figure of merit d spd h g spd h , and the electromechanical coupling factor k spd h . The piezocomposite consists of piezoelectric rods embedded in an ...

In this paper, we define (h(x), g(y))-extension of the Fibonacci p-numbers. We also define golden (p, h(x), g(y))-proportions where p (p = 0, 1, 2, 3, · · · ) and h(x)(> 0), g(y)(> 0) are polynomials with real coefficients. The relations among the code elements of a new Fibonacci matrix, Gp,h,g, (p = 0, 1, 2, 3, · · · ), h(x) (> 0), g(y) (> 0) coincide with the relations among the code matrix f...

this paper undertakes the synthesis of a logic-based switching h2/h∞ state-feedback controller for continuous-time lti singular perturbation systems. our solution achieves a minimum bound on the h2 performance level, while also satisfying the h∞ performance requirements. the proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. a convex lmi-b...

This paper is concerned with a matrix inequality problem which arises in xed order output feedback control design. This problem involves nding two symmetric and positive deenitive matrices X and Y such that they each satisses a linear matrix inequality and that XY = I. It is well-known that many control problems such as xed order output feedback stabilization, H 1 control, guaranteed H 2 contro...

This paper deals with the consensus control of a multi-agent system with state and measurement disturbances, and proposes a distributed dynamic output feedback protocol. By defining an appropriate controlled output, the consensus control problem is reformulated as an H∞ control problem. Using H∞ techniques, a sufficient condition in terms of linear matrix inequalities (LMIs) is given to ensure ...

II. LINEAR ALGEBRA Linear Algebra is the study of linear transformations. We used the following result on how to diagonalize an Hermitian matrix: II.1. Theorem: Diagonalization of Hermitian Matrix (Notes on Linear Algebra Theorem 6) Let H ∈ Cn×n be a Hermitian matrix, i.e., such that H = H∗. The eigenvalues λ1, . . . , λn of H are real (they are not necessarily distinct); H has n orthonormal ei...

When k = q1, q2, q1q2, q1q4, q2q3N , q3q4N , where q1, q2 and q3 are prime powers, and where q1 ≡ 1 (mod 4), q2 ≡ 3 (mod 8), q3 ≡ 5 (mod 8), q4 = 7 or 23, N = 23t, a, b = 0 or 1, t = 0 is an arbitrary integer, we prove that there exist regular Hadamard matrices of order 4k, and also there exist SBIBD(4k, 2k + k, k + k). We find new SBIBD(4k, 2k + k, k + k) for 233 values of k. ∗ The second auth...

In this paper, we propose a new multi-level power series solution method for solving large surface and volume electric field integral equation-based H-Matrix. The proposed converges in fixed number of iterations is solved at each level the H-Matrix computation. avoids computation full matrix, as it can be independently level, starting from leaf level. Solution used final solution, thus saving m...

Let B be an m × n (m ≥ n) complex (or real) matrix. It is known that there is a unique polar decomposition B = QH, where Q * Q = I, the n × n identity matrix, and H is positive definite, provided B has full column rank. If B is perturbed to B, how do the polar factors Q and H changes? This question has been investigated quite extensively, but most work so far was on how the perturbation changed...