383 citations · 773 across the 39 of their papers we have counts for
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A Tutorial on the Structure of Distributed Optimization Algorithms
Bryan Van Scoy, Laurent Lessard
We consider the distributed optimization problem for a multi-agent system. Here, multiple agents cooperatively optimize an objective by sharing information through a communication…
A Tutorial on a Lyapunov-Based Approach to the Analysis of Iterative Optimization Algorithms
Bryan Van Scoy, Laurent Lessard
Iterative gradient-based optimization algorithms are widely used to solve difficult or large-scale optimization problems. There are many algorithms to choose from, such as gradient…
Automated Lyapunov Analysis of Primal-Dual Optimization Algorithms: An Interpolation Approach
Bryan Van Scoy, John W. Simpson-Porco, Laurent Lessard
Primal-dual algorithms are frequently used for iteratively solving large-scale convex optimization problems. The analysis of such algorithms is usually done on a case-by-case basis…
Guaranteed Stability Margins for Decentralized Linear Quadratic Regulators
Mruganka Kashyap, Laurent Lessard
It is well-known that linear quadratic regulators (LQR) enjoy guaranteed stability margins, whereas linear quadratic Gaussian regulators (LQG) do not. In this letter, we consider s…