336 citations · 562 across the 41 of their papers we have counts for
14 papers · 1 filter
Covariance-analytic performance criteria, Hardy-Schatten norms and Wick-like ordering of cascaded systems
Igor G. Vladimirov, Ian R. Petersen
This paper is concerned with linear stochastic systems whose output is a stationary Gaussian random process related by an integral operator to a standard Wiener process at the inpu…
Global convergence and asymptotic optimality of the heavy ball method for a class of non-convex optimization problems
Valery Ugrinovskii, Ian R. Petersen, Iman Shames
In this letter we revisit the famous heavy ball method and study its global convergence for a class of non-convex problems with sector-bounded gradient. We characterize the paramet…
Towards Online Optimization for Power Grids
Deming Yuan, Abhishek Bhardwaj, Ian Petersen +2
In this note, we discuss potential advantages in extending distributed optimization frameworks to enhance support for power grid operators managing an influx of online sequential d…
Structural Controllability on Graphs for Drifted Bilinear Systems over Lie Groups
Xing Wang, Bo Li, Jr-Shin Li +2
In this paper, we study graphical conditions for structural controllability and accessibility of drifted bilinear systems over Lie groups. We consider a bilinear control system wit…
Social Shaping of Competitive Equilibriums for Resilient Multi-Agent Systems
Yijun Chen, Razibul Islam, Elizabeth Ratnam +2
In this paper, we study multi-agent systems with decentralized resource allocations. Agents have local demand and resource supply, and are interconnected through a network designed…
Velocity-free Attitude Control of Quadrotors: A Nonlinear Negative Imaginary Approach
Ahmed G. Ghallab, Ian R. Petersen
In this paper, we propose a new approach to the attitude control of quadrotors, by which angular velocity measurements or a model-based observer reconstructing the angular velocity…