Search Results for author: Shaunak D. Bopardikar

Found 11 papers, 0 papers with code

Shortest Trajectory of a Dubins Vehicle with a Controllable Laser

no code implementations19 Mar 2024 Shivam Bajaj, Bhargav Jha, Shaunak D. Bopardikar, Alexander Von Moll, David W. Casbeer

We formulate a novel planar motion planning problem for a Dubins-Laser system that consists of a Dubins vehicle with an attached controllable laser.

Motion Planning Position

Matrix Concentration Inequalities for Sensor Selection

no code implementations9 Mar 2024 Christopher I. Calle, Shaunak D. Bopardikar

Since our selection of sensors is randomly chosen, the estimation error covariance of the Kalman filter is also a stochastic quantity.

FlipDyn with Control: Resource Takeover Games with Dynamics

no code implementations23 Oct 2023 Sandeep Banik, Shaunak D. Bopardikar

We present the FlipDyn, a dynamic game in which two opponents (a defender and an adversary) choose strategies to optimally takeover a resource that involves a dynamical system.

A Multi-Fidelity Bayesian Approach to Safe Controller Design

no code implementations21 Apr 2023 Ethan Lau, Vaibhav Srivastava, Shaunak D. Bopardikar

Safely controlling unknown dynamical systems is one of the biggest challenges in the field of control.

A Concentration-Based Approach for Optimizing the Estimation Performance in Stochastic Sensor Selection

no code implementations14 Mar 2023 Christopher I. Calle, Shaunak D. Bopardikar

As a consequence, we derive concentration inequalities to bound the estimation error covariance of the Kalman filter in the semi-definite sense.

Perimeter Defense using a Turret with Finite Range and Service Times

no code implementations4 Feb 2023 Shivam Bajaj, Shaunak D. Bopardikar, Alexander Von Moll, Eric Torng, David W. Casbeer

Specifically, in the offline version, we establish that in general parameter regimes, this problem is equivalent to solving a Travelling Repairperson Problem with Time Windows (TRP-TW).

Cooperative Evasion by Translating Targets with Variable Speeds

no code implementations19 Jun 2021 Shivam Bajaj, Eloy Garcia, Shaunak D. Bopardikar

We also characterize a fundamental limit on the total time taken by the pursuer to capture all evaders when the number of evaders is large.

Competitive Perimeter Defense on a Line

no code implementations22 Mar 2021 Shivam Bajaj, Eric Torng, Shaunak D. Bopardikar

We consider a perimeter defense problem in which a single vehicle seeks to defend a compact region from intruders in a one-dimensional environment parameterized by the perimeter size and the intruder-to-vehicle speed ratio.

Probabilistic Performance Bounds for Randomized Sensor Selection in Kalman Filtering

no code implementations20 Mar 2021 Christopher I. Calle, Shaunak D. Bopardikar

We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise.

Sequential Randomized Matrix Factorization for Gaussian Processes: Efficient Predictions and Hyper-parameter Optimization

no code implementations19 Nov 2017 Shaunak D. Bopardikar, George S. Eskander Ekladious

First, we formalize an approach to compute the inverse of the kernel matrix using randomized matrix factorization algorithms in a streaming scenario, i. e., data is generated incrementally over time.

Computational Efficiency Gaussian Processes

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