5 papers
Plug-in Estimation Method for Topology and Admittance Estimation in Electric Grids
Norak Rin, Iman Shames, Ian R. Petersen +2
This paper proposes a scalable method for topology and admittance estimation in electric power grids. Our proposed plug-in estimation method incorporates precise phasor measurement…
Data Requirements for Electric Grid Topology and Admittance Estimation
Norak Rin, Iman Shames, Ian Petersen +1
Recent advances in precise phasor measurement units are enabling new approaches to estimate distribution and transmission grid parameters in real-time. In this paper, we investigat…
Pointwise and dynamic programming control synthesis for finite-level open quantum memory systems
Igor G. Vladimirov, Ian R. Petersen, Guodong Shi
This paper is concerned with finite-level quantum memory systems for retaining initial dynamic variables in the presence of external quantum noise. The system variables have an alg…
A Fundamental Convergence Rate Bound for Gradient Based Online Optimization Algorithms with Exact Tracking
Alex Xinting Wu, Ian R. Petersen, Iman Shames
In this paper, we consider algorithms with integral action for solving online optimization problems characterized by quadratic cost functions with a time-varying optimal point desc…
A Robust Control Approach to Asymptotic Optimality of the Heavy Ball Method for Optimization of Quadratic Functions
V. Ugrinovskii, I. R. Petersen, I. Shames
Among first order optimization methods, Polyak's heavy ball method has long been known to guarantee the asymptotic rate of convergence matching Nesterov's lower bound for functions…