This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques, and its contents and capabilities are presented.Expand

We provide a tutorial introduction to certain numerical computations both in linear algebra and linear systems in the context of bounded arithmetic. The essential characteristics of bounded… Expand

IEEE Conference on Decision and Control including…

1978

In this paper a new algorithm for solving algebraic Riccati equations (both continuous-time and discrete-time versions) is presented. The method studied is a variant of the classical eigenvector… Expand

This book discusses vector spaces, linear transformations, eigenvalues and eigenvectors, and the singular value decomposition in the context of Kronecker products.Expand

Numerical issues related to the computational solution of the algebraic matrix Riccati equation are discussed. The approach presented uses the generalized eigenproblem formulation for the solution of… Expand

An algorithm is presented in this paper for computing state-space balancing transformations directly from a state-space realization. The algorithm requires no "squaring up" or unnecessary matrix… Expand

This method simultaneously triangularizes by orthogonal equivalences a sequence of matrices associated with a cyclic pencil formulation related to the Euler-Lagrange difference equations to extract a basis for the stable deflating subspace of the extended pencil, from which the Riccati solution is obtained.Expand

A new condition estimation procedure for general matrix functions is presented that accurately gauges sensitivity by measuring the effect of random perturbations at the point of evaluation. In this… Expand