Brian D. O. Anderson

TL;DR: This paper formulates and solves a version of the Vicsek consensus problem in which each member of a group of n > 1 agents independently updates its heading at times determined by its own clock.

TL;DR: This paper traces the development of many ideas from these formulae, covering linear H"2 and H"~ control, identification, adaptive control and nonlinear systems.

TL;DR: A survey of singular control problems can be found in this paper, where sufficient and sufficient conditions for nonsingular control problems have been established over the past decade, although sufficient, and necessary and sufficient, conditions have only recently been formulated.

TL;DR: The paper proves that the existence of a positive definite solution pair to the 2-D Lyapunov equation is not necessary for stability, disproving a long-standing conjecture.

TL;DR: In this article, the authors consider formations of autonomous agents moving in a two-dimensional space, each agent tries to maintain its distances toward a pre-specified group of other agents constant and the problem is to determine if one can guarantee that the distance between every pair of agents (even those not explicitly maintained) remains constant, resulting in the persistence of the formation shape.