383 citations · 773 across the 39 of their papers we have counts for
47 papers
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…
Absolute Stability via Lifting and Interpolation
Bryan Van Scoy, Laurent Lessard
We revisit the classical problem of absolute stability; assessing the robust stability of a given linear time-invariant (LTI) plant in feedback with a nonlinearity belonging to som…
Optimal Control of Multi-Agent Systems with Processing Delays
Mruganka Kashyap, Laurent Lessard
In this article, we consider a cooperative control problem involving a heterogeneous network of dynamically decoupled continuous-time linear plants. The (output-feedback) controlle…