Brian D. O. Anderson

TL;DR: In this article, a distributed control law for maintaining a triangular formation in the plane consisting of three point-modelled, mobile autonomous agents is proposed and analyzed, and it is shown that the control law under consideration can cause any initially non-collinear, positively-oriented [resp. negatively-oriented] triangular formation to converge exponentially fast to a desired positively oriented [resp., negatively]-biased triangular formation.

TL;DR: In this paper, the authors demonstrate identifiability for generic parameter values using the population second moments of the observations and display a constructive algorithm for the parameter values and establish the continuity of the mapping attaching the high frequency parameters to these second moments.

TL;DR: In this article, a new approach for robust controller design using Iterative Feedback Tuning (IFT) method is introduced, based on some robustness principles a new criterion is proposed reflecting both performance and robustness specifications.

TL;DR: In this paper, it was shown that the positive-definite solution of the algebraic equation PF + F?P?PGR?1G?P + S = 0, provided that it exists and is unique, can be obtained as the limiting solution of a quadratic matrix difference equation.

TL;DR: In this paper, the existence and calculation of Hermitian solutions of a linear matrix inequality corresponding to the spectral factorization of a proper rational spectral density was studied, and it was shown explicitly that each such imaginary-axis eigenvalue defines a fixed part of all solutions.