activity
20132023
most citedImitation and Transfer Learning for LQG Control

12 citations · 28 across the 10 of their papers we have counts for

collaborators

14 papers

eess.SY2023★ 12 cited

Imitation and Transfer Learning for LQG Control

Taosha Guo, Abed AlRahman Al Makdah, Vishaal Krishnan +1

In this paper we study an imitation and transfer learning setting for Linear Quadratic Gaussian (LQG) control, where (i) the system dynamics, noise statistics and cost function are…

math.OC2022★ 6 cited

Data-Driven Feedback Linearization using the Koopman Generator

Darshan Gadginmath, Vishaal Krishnan, Fabio Pasqualetti

This paper contributes a theoretical framework for data-driven feedback linearization of nonlinear control-affine systems. We unify the traditional geometric perspective on feedbac…

math.OC2022

Direct vs Indirect Methods for Behavior-based Attack Detection

Darshan Gadginmath, Vishaal Krishnan, Fabio Pasqualetti

We study the problem of data-driven attack detection for unknown LTI systems using only input-output behavioral data. In contrast with model-based detectors that use errors from an…

eess.SY2022

Behavioral Feedback for Optimal LQG Control

Abed AlRahman Al Makdah, Vishaal Krishnan, Vaibhav Katewa +1

In this work, we revisit the Linear Quadratic Gaussian (LQG) optimal control problem from a behavioral perspective. Motivated by the suitability of behavioral models for data-drive…

math.OC2021

On Direct vs Indirect Data-Driven Predictive Control

Vishaal Krishnan, Fabio Pasqualetti

In this work, we compare the direct and indirect approaches to data-driven predictive control of stochastic linear time-invariant systems. The distinction between the two approache…

cs.LG2021★ 1 cited

Learning Lipschitz Feedback Policies from Expert Demonstrations: Closed-Loop Guarantees, Generalization and Robustness

Abed AlRahman Al Makdah, Vishaal Krishnan, Fabio Pasqualetti

In this work, we propose a framework to learn feedback control policies with guarantees on closed-loop generalization and adversarial robustness. These policies are learned directl…

math.OC2021

A Multiscale Analysis of Multi-Agent Coverage Control Algorithms

Vishaal Krishnan, Sonia Martínez

This paper presents a theoretical framework for the design and analysis of gradient descent-based algorithms for coverage control tasks involving robot swarms. We adopt a multiscal…

cs.LG2020★ 5 cited

Lipschitz Bounds and Provably Robust Training by Laplacian Smoothing

Vishaal Krishnan, Abed AlRahman Al Makdah, Fabio Pasqualetti

In this work we propose a graph-based learning framework to train models with provable robustness to adversarial perturbations. In contrast to regularization-based approaches, we f…

eess.SY2020

Data-Driven Attack Detection for Linear Systems

Vishaal Krishnan, Fabio Pasqualetti

This paper studies the attack detection problem in a data-driven and model-free setting, for deterministic systems with linear and time-invariant dynamics. Differently from existin…

math.OC2018

A Probabilistic Framework for Moving-Horizon Estimation: Stability and Privacy Guarantees

Vishaal Krishnan, Sonia Martínez

This work proposes a unifying probabilistic framework for the design of robustly asymptotically stable moving-horizon estimators (MHE) for discrete-time nonlinear systems, and a me…

math.OC2018★ 4 cited

Distributed Online Optimization for Multi-Agent Optimal Transport

Vishaal Krishnan, Sonia Martínez

We propose a scalable, distributed algorithm for the optimal transport of large-scale multi-agent systems. We formulate the problem as one of steering the collective towards a targ…

math.OC2017

Identification of critical nodes in large-scale spatial networks

Vishaal Krishnan, Sonia Martínez

The notion of network connectivity is used to characterize the robustness and failure tolerance of networks, with high connectivity being a desirable feature. In this paper, we dev…

math.OC2017

Distributed Control for Spatial Self-Organization of Multi-Agent Swarms

Vishaal Krishnan, Sonia Martínez

In this work, we design distributed control laws for spatial self-organization of multi-agent swarms in 1D and 2D spatial domains. The objective is to achieve a desired density dis…

math.DS2013

Synchronization and semistability analysis of the Kuramoto model of coupled nonlinear oscillators

Vishaal Krishnan, Arun D. Mahindrakar, Somashekhar S. Hiremath

An interesting problem in synchronization is the study of coupled oscillators, wherein oscillators with different natural frequencies synchronize to a common frequency and equilibr…