Computing Rational Solutions of Linear Matrix Inequalities

This paper provides an effective method to create an abstract simplicial complex homotopy equivalent to a given set S described by non-linear inequalities (polynomial or not). To

Iterative Solution of Linear Matrix Inequalities for the Combined Control and Observer Design of Systems with Polytopic Parameter Uncertainty and Stochastic Noise. Robust Control for

In this paper, after giving some preliminary material in Section 2, we propose verification protocols for classical properties of polynomial matrices — singularity, rank,

In Section 4, we demonstrate the proposed method on three types of radial distortion shapes and models and show how to incorporate the method into an overall camera

Our objective is to validate a linear F-16 short period aircraft model aug- mented with adaptive feedback, uncertain parameters, and flexible dynamics using our VV framework..

Whereas this sign determination is a delicate issue when using floating arithmetic and ap- proximate computation, it can be done exactly with spectra , since we represent the point x

Once an LMI relaxation of given order is solved, we expect vector y to contain approximate moments of the optimal occupation measure corresponding to the optimal trajectory (if it

Following a polynomial approach, many robust fixed-order controller design problems can be formulated as optimization problems whose set of feasible solutions is modelled