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20162022
most citedApollonius Allocation Algorithm for Heterogeneous Pursuers to Capture Multiple Evaders

10 citations · 24 across the 16 of their papers we have counts for

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15 papers · 1 filter

math.OC2022

Distributionally Robust Covariance Steering with Optimal Risk Allocation

Venkatraman Renganathan, Joshua Pilipovsky, Panagiotis Tsiotras

This article extends the optimal covariance steering (CS) problem for discrete time linear stochastic systems modeled using moment-based ambiguity sets. To hedge against the uncert…

math.OC2022

Solving Feynman-Kac Forward Backward SDEs Using McKean-Markov Branched Sampling

Kelsey P. Hawkins, Ali Pakniyat, Evangelos Theodorou +1

We propose a new method for the numerical solution of the forward-backward stochastic differential equations (FBSDE) appearing in the Feynman-Kac representation of the value functi…

math.OC2021

Distribution Steering for Discrete-Time Linear Systems with General Disturbances using Characteristic Functions

Vignesh Sivaramakrishnan, Joshua Pilipovsky, Meeko M. K. Oishi +1

We propose to solve a constrained distribution steering problem, i.e., steering a stochastic linear system from an initial distribution to some final, desired distribution subject…

math.OC2020

Covariance Steering with Optimal Risk Allocation

Joshua Pilipovsky, Panagiotis Tsiotras

This paper extends the optimal covariance steering problem for linear stochastic systems subject to chance constraints to account for optimal risk allocation. Previous works have a…

math.OC202010 cited

Apollonius Allocation Algorithm for Heterogeneous Pursuers to Capture Multiple Evaders

Venkata Ramana Makkapati, Panagiotis Tsiotras

In this paper, we address pursuit-evasion problems involving multiple pursuers and multiple evaders. The pursuer and the evader teams are assumed to be heterogeneous, in the sense…

math.OC2020

Forward-Backward Rapidly-Exploring Random Trees for Stochastic Optimal Control

Kelsey P. Hawkins, Ali Pakniyat, Evangelos Theodorou +1

We propose a numerical method for the computation of the forward-backward stochastic differential equations (FBSDE) appearing in the Feynman-Kac representation of the value functio…