no code implementations • 19 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.
no code implementations • 9 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.
no code implementations • 23 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.
no code implementations • 21 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.
no code implementations • 14 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.
no code implementations • 4 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).
no code implementations • 19 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.
no code implementations • 22 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.
no code implementations • 20 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.
no code implementations • 9 Nov 2020 • Arnab Bhattacharya, Thiagarajan Ramachandran, Sandeep Banik, Chase P. Dowling, Shaunak D. Bopardikar
Adversary emulation is an offensive exercise that provides a comprehensive assessment of a system's resilience against cyber attacks.
no code implementations • 19 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.