Search Results for author: Margaret P. Chapman

Found 10 papers, 5 papers with code

Risk-Aware Stability of Discrete-Time Systems

no code implementations22 Nov 2022 Margaret P. Chapman, Dionysios S. Kalogerias

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized.

Information-theoretic multi-time-scale partially observable systems with inspiration from leukemia treatment

no code implementations26 Apr 2022 Margaret P. Chapman, Emily Jensen, Steven M. Chan, Laurent Lessard

We study a partially observable nonlinear stochastic system with unknown parameters, where the given time scales of the states and measurements may be distinct.

Management

A Non-linear Differentiable Model for Stormwater-based Irrigation of a Green Roof in Toronto

1 code implementation26 Oct 2021 Chia-Hui Yeh, Margaret P. Chapman

We study the problem of reusing stormwater to irrigate a green roof in Toronto, where potable water is the current irrigation source.

CVaR-based Safety Analysis in the Infinite Time Horizon Setting

1 code implementation15 Aug 2021 Chuanning Wei, Michael Fauss, Margaret P. Chapman

We develop a risk-averse safety analysis method for stochastic systems on discrete infinite time horizons.

Management

Classical Risk-Averse Control for a Finite-Horizon Borel Model

no code implementations29 Jul 2021 Margaret P. Chapman, Kevin M. Smith

We study a risk-averse optimal control problem for a finite-horizon Borel model, where a cumulative cost is assessed via exponential utility.

On Optimizing the Conditional Value-at-Risk of a Maximum Cost for Risk-Averse Safety Analysis

1 code implementation1 Jun 2021 Margaret P. Chapman, Michael Fauss, Kevin M. Smith

We prove that the optimal CVaR of a maximum random cost enjoys an equivalent representation in terms of the solutions to these dynamic programs under appropriate assumptions.

Toward a Scalable Upper Bound for a CVaR-LQ Problem

no code implementations3 Mar 2021 Margaret P. Chapman, Laurent Lessard

We study a linear-quadratic, optimal control problem on a discrete, finite time horizon with distributional ambiguity, in which the cost is assessed via Conditional Value-at-Risk (CVaR).

Risk-sensitive safety analysis using Conditional Value-at-Risk

1 code implementation28 Jan 2021 Margaret P. Chapman, Riccardo Bonalli, Kevin M. Smith, Insoon Yang, Marco Pavone, Claire J. Tomlin

In addition, we propose a second definition for risk-sensitive safe sets and provide a tractable method for their estimation without using a parameter-dependent upper bound.

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