In this study, nonlinear vibration of a composite cable is investigated by considering nonlinear stress-strain relations. The composite cable is composed of an aluminum wire as reinforcement and a rubber coating as matrix. The nonlinear governing equations of motion are derived about to an initial curve and based on the fundamentals of continuum mechanics and the nonlinear Green-Lagrangian stra...

In the paper a linear-quadratic optimization problem (LCTOR) with unseparated two-point boundary conditions is considered. To solve this problem is proposed a new sweep algorithm which increases doubles the dimension of the original system. In contrast to the well-known methods, here it refuses to solve linear matrix and nonlinear Riccati equations, since the solution of such multi-point optimi...

quadratic equation is eigen-decomposed to build a linear This paper proposes a linear algorithm for metric equation to compute the projective-to-Euclidean trans-reconstruction from projective reconstruction. Metric formation matrix. reconstruction problem is equivalent to estimating the projective transformation matrix that converts projective reconstruction to Euclidean reconstruction. We buil...

The main difficulty in stability analysis of reset control systems comes from their state-dependent reset mechanism. It becomes more challenging when output matrix suffers from uncertainties which make the reset time instants uncertain. In this paper, existing quadratic stability results for uncertainty-free reset systems are extended to the case with uncertainty in the output matrix. By constr...

Abstract: This paper is concerned with the problem of H∞ filtering for continuous-time nonlinear quadratic systems. The aim is to design a full order dynamic filter that can also contain quadratic terms. The strategy relies on the use of a quadratic Lyapunov function and an inequality condition that assures an H∞ performance bound for the augmented quadratic system, composed by the original sys...

Martin Ohlson and Timo Koski, On the Distribution of Matrix Quadratic Forms, 2012, Communications in Statistics Theory and Methods, (41), 18, 3403-315. Communications in Statistics Theory and Methods is available online at informaworld TM : http://dx.doi.org/10.1080/03610926.2011.563009 Copyright: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis http://www....