Nonsurjective Satellite Operators and Piecewise-linear Concordance

Approximate Solution of Sensitivity Matrix of Required Velocity Using Piecewise Linear Gravity Assumption

In this paper, an approximate solution of sensitivity matrix of required velocity with final velocity constraint is derived using a piecewise linear gravity assumption. The total flight time is also fixed for the problem. Simulation results show the accuracy of the method. Increasing the midway points for linearization, increases the accuracy of the solution, which this, in turn, depends on the...

The implications of piecewise linear process of normal accruals

The present study investigates whether the basic assumption in the Jones model, which normal accruals are a linear function of change in sales, is empirically valid. It also discusses and addresses the implications of the assumption violation in the earnings management detection tests. The research employs a sample of 2832 observations of the annual information of firms listed in Tehran Stock E...

Piecewise Constant Controlled Linear Fuzzy Systems

Ill-conditioned Convex Processes and Linear Inequalities

We prove the smallest possible norm of a linear perturbation making a closed convex process nonsurjective is the inverse of the norm of the inverse process. This generalizes the fundamental property of the condition number of a linear map. We then apply this result to strengthen a theorem of Renegar measuring the size of perturbation necessary to make an inequality system inconsistent.

A Study on Piecewise Linear Approximation in the L1 Optimal Control Problem of Sampled-Data Systems

This paper studies a mathematical basis of piecewise linear approximation in the L1 optimal control problem of sampled-data systems, which aims at minimizing the L∞induced norm of sampled-data systems. To take into account of intersample behavior, we first consider the lifted representation of sampled-data systems. The sampling interval [0, h) is then divided into M subintervals with an equal w...