Nonnegative singular control systems using the Drazin projector

Nonnegative singular control systems using the Drazin projector

In this paper we study conditions to guarantee the nonnegativity of a discretetime singular control system. A first approach can be found in the literature for general systems by using the entire coefficient matrices. Also, the particular case of matrices of index 1 has been treated by using a block decomposition and the group-projector of the matrix that gives the singularity to the system. In...

Using discrepancy to control singular values for nonnegative matrices

We will consider two parameters which can be associated with a nonnegative matrix: the second largest singular value of the “normalized” matrix, and the discrepancy of the entries (which is a measurement between the sum of the actual entries in blocks versus the expected sum). Our main result is to show that these are related in that discrepancy can be bounded by the second largest singular val...

A Computational Method for Solving Optimal Control Problem of Time-varying Singular Systems Using the Haar Wavelets

Orthogonal polynomials and semi-iterative methods for the Drazin-inverse solution of singular linear systems

In this work we present a novel class of semi-iterative methods for theDrazin-inverse solution of singular linear systems,whether consistent or inconsistent. The matrices of these systems are allowed to have arbitrary index and arbitrary spectra in the complex plane. The methods we develop are based on orthogonal polynomials and can all be implemented by 4-term recursion relations independently...

Singular control systems pdf

A singular control system SG on G is defined by a pair E, D of.type for a single-input, control affine, nonlinear system in small dimension. Has on the optimality of singular controls when the control is replaced with.ABSTRACT A normal form for open loop control systems is provided, based on their interpretation as skew product flows and on normal forms for.Introduction. In this paper, the foll...