13 papers
Fluid Mixing and Incompressible Optimal Transport
Max Emerick, John Igraszek, Bassam Bamieh
The problem of incompressible fluid mixing is long-studied, yet many questions remain open. This paper aims to address the question ``what do efficient flow fields for mixing look…
Mean-Field Oscillator Ising Machines: Gradient Flows and Classification of Limit Solutions
Arvind R. Venkatakrishnan, Max Emerick, Bassam Bamieh +1
Oscillator Ising Machines (OIMs) have emerged as promising computational architectures for approximating solutions to combinatorial optimization problems. We derive and analyze the…
On the connection between input-output resonances and internal modes of linear time-invariant systems
Bassam Bamieh
It is shown that in general, there is no connection between the location of the internal modes of a Linear Time-Invariant (LTI) system and the shape of its input-output frequency r…
Least-Squares State Estimation, LQR and LQ-Tracking
Bassam Bamieh
This note is a tutorial on the Least-Squares State Estimator (LSSE) (the deterministic version of the Kalman-Bucy filter) and related topics. The LSSE is formulated as finding the…
An Interpolation-based Scheme for Rapid Frequency-Domain System Identification
Jared Jonas, Bassam Bamieh
We present a frequency-domain system identification scheme based on barycentric interpolation and weight optimization. The scheme is related to the Adaptive Antoulas-Anderson (AAA)…
On the Gaussian Limit of the Output of IIR Filters
Yashaswini Murthy, Bassam Bamieh, R. Srikant
We study the asymptotic distribution of the output of a stable Linear Time-Invariant (LTI) system driven by a non-Gaussian stochastic input. Motivated by longstanding heuristics in…
An iterative tangential interpolation algorithm for model reduction of MIMO systems
Jared Jonas, Bassam Bamieh
We consider model reduction of large-scale multi-input, multi-output (MIMO) systems using tangential interpolation in the frequency domain. Our scheme is related to the recently-de…
Incompressible Optimal Transport and Applications in Fluid Mixing
Max Emerick, Bassam Bamieh
The problem of incompressible fluid mixing arises in numerous engineering applications and has been well-studied over the years, yet many open questions remain. This paper aims to…
Optimal Assignment and Motion Control in Two-Class Continuum Swarms
Max Emerick, Stacy Patterson, Bassam Bamieh
We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the…
Causal Tracking of Distributions in Wasserstein Space: A Model Predictive Control Scheme
Max Emerick, Jared Jonas, Bassam Bamieh
We consider a problem of optimal swarm tracking which can be formulated as a tracking problem for distributions in the Wasserstein space. Optimal solutions to this problem are non-…
Linear-Quadratic Problems in Systems and Controls via Covariance Representations and Linear-Conic Duality: Finite-Horizon Case
Bassam Bamieh
Linear-Quadratic (LQ) problems that arise in systems and controls include the classical optimal control problems of the Linear Quadratic Regulator (LQR) in both its deterministic a…
A Convex Parameterization of Controllers Constrained to use only Relative Measurements
Walden Marshall, Bassam Bamieh, Emily Jensen
The optimal controller design problem for systems equipped with sensors that measure only relative, rather than absolute, quantities is considered. This relative measurement struct…
An Adaptation of the AAA-Interpolation Algorithm for Model Reduction of MIMO Systems
Jared Jonas, Bassam Bamieh
We consider the Adaptive Antoulas-Anderson (AAA) rational interpolation algorithm recently developed by Trefethen and co-authors, which can be viewed as a type of moment-matching t…