Brian D. O. Anderson

TL;DR: In this paper, the Popov criterion for the stability of a system containing a simple memoryless nonlinearity has been generalized to the case of systems containing an arbitrary number of nonlinearities, and the main result is established, with an application to deriving a subsidiary result, already discovered by other techniques.

TL;DR: A canonical form for a multivariable linear control system is described, which enables a linear-feedback law to be chosen to produce arbitrary characteristic modes in the closed-loop system.

TL;DR: In this article, the setpoint sequence is persistently exciting and the plant is linear, finite-dimensional, time-invariant and possesses a stable inverse, and a trajectory-following adaptive control algorithm, with exponential forgetting recursive least squares, is exponentially stable.

TL;DR: In this article, a novel opinion dynamics model is proposed to study how a discrepancy can arise in general social networks of interpersonal influence, where each individual in the network has both a private and an expressed opinion: an individual's private opinion evolves under social influence from the expressed opinions of the individual's neighbours, while the individual determines his or her expressed opinion under a pressure to conform to the average expressed opinion of his or his neighbours, termed the local public opinion.

TL;DR: For continuous-time systems the class includes an infinite set, whereas for discrete-time the class has only two members as mentioned in this paper, which illustrates the freedom available in a model reduction procedure.