no code implementations • 22 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.
no code implementations • 26 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.
1 code implementation • 26 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.
no code implementations • 18 Sep 2021 • Yuheng Wang, Margaret P. Chapman
Our second contribution is to unify the concepts of risk and autonomous systems.
1 code implementation • 15 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.
1 code implementation • 3 Aug 2021 • Kevin M. Smith, Margaret P. Chapman
An objective cost is a realization $y$ of a random variable $Y$.
no code implementations • 29 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.
1 code implementation • 1 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.
no code implementations • 3 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).
1 code implementation • 28 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.