Ian R. Petersen

TL;DR: In this article, the authors considered a class of nonlinear systems consisting of a linear part with an external input and a nonlinear feedback with a backlash, and established estimates for the Lyapunov exponents which quantify the rate of convergence of the system trajectories to a forced periodic regime when the input is a periodic function of time.

TL;DR: In this article , the necessary and sufficient conditions under which a class of nonlinear systems are state feedback equivalent to nonlinear negative imaginary (NI) systems with positive definite storage functions were investigated.

TL;DR: In this article , a suboptimal, coherent quantum LQG controller is designed to solve a quantum equalization problem, which involves reformulating the problem as a control problem and then designing a classical LQGM controller and implementing it as a quantum system.

TL;DR: The main result of the paper presents a scheme for constructing such a collection of decentralized controllers which stabilizes the system and is optimal with respect to a quadratic performance index.

TL;DR: In this paper, the authors discuss potential advantages in extending distributed optimization frameworks to enhance support for power grid operators managing an influx of online sequential decisions, and discuss the connection and difference between offline and online distributed optimization.