12 papers
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…