A Generalization of Bellman's Equation with Application to Path Planning, Obstacle Avoidance and Invariant Set Estimation M Jones, M Peet Automatica 127, 109510, 2021 | 29 | 2021 |
Estimating the region of attraction using polynomial optimization: A converse Lyapunov result M Jones, H Mohammadi, MM Peet 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 1796-1802, 2017 | 23 | 2017 |
Using SOS and sublevel set volume minimization for estimation of forward reachable sets M Jones, MM Peet IFAC-PapersOnLine 52 (16), 484-489, 2019 | 20 | 2019 |
Using SOS for Optimal Semialgebraic Representation of Sets: Finding Minimal Representations of Limit Cycles, Chaotic Attractors and Unions M Jones, MM Peet 2019 American Control Conference (ACC), 2084--2091, 2019 | 17 | 2019 |
Solving dynamic programming with supremum terms in the objective and application to optimal battery scheduling for electricity consumers subject to demand charges M Jones, MM Peet 2017 IEEE 56th Annual Conference on Decision and Control (CDC), 1323-1329, 2017 | 17 | 2017 |
Converse Lyapunov Functions and Converging Inner Approximations to Maximal Regions of Attraction of Nonlinear Systems M Jones, MM Peet arXiv preprint arXiv:2103.12825, 2021 | 15 | 2021 |
Relaxing the Hamilton Jacobi Bellman equation to construct inner and outer bounds on reachable sets M Jones, MM Peet 2019 IEEE 58th Conference on Decision and Control (CDC), 2397-2404, 2019 | 13 | 2019 |
Extensions of the dynamic programming framework: Battery scheduling, demand charges, and renewable integration M Jones, MM Peet IEEE Transactions on Automatic Control 66 (4), 1602-1617, 2020 | 12 | 2020 |
Polynomial approximation of value functions and nonlinear controller design with performance bounds M Jones, MM Peet arXiv preprint arXiv:2010.06828, 2020 | 11 | 2020 |
A converse sum of squares Lyapunov function for outer approximation of minimal attractor sets of nonlinear systems M Jones, MM Peet arXiv preprint arXiv:2110.03093, 2021 | 6 | 2021 |
Combining trajectory data with analytical Lyapunov functions for improved region of attraction estimation LL Fernandes, M Jones, L Alberto, M Peet, D Dotta IEEE Control Systems Letters 7, 271-276, 2022 | 3 | 2022 |
A dynamic programming approach to evaluating multivariate gaussian probabilities M Jones, MM Peet 23rd International Symposium on Mathematical Theory of Networks and Systems, 2018 | 3 | 2018 |
Sparse identification of nonlinear dynamics with side information (SINDy-SI) GF Machado, M Jones 2024 American Control Conference (ACC), 2879-2884, 2024 | 2 | 2024 |
Sublevel Set Approximation in The Hausdorff and Volume Metric with Application to Path Planning and Obstacle Avoidance M Jones IEEE Transactions on Automatic Control, 2024 | 1 | 2024 |
Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems M Jones, MM Peet 2023 American Control Conference (ACC), 4130-4135, 2023 | 1 | 2023 |
Model Predictive Bang-Bang Controller Synthesis via Approximate Value Functions M Jones, Y Nie, MM Peet arXiv preprint arXiv:2402.08148, 2024 | | 2024 |
Learning Polynomial Representations of Physical Objects with Application to Certifying Correct Packing Configurations M Jones arXiv preprint arXiv:2312.06791, 2023 | | 2023 |
Excitation Optimization for Estimating Battery Health Parameters using Reinforcement Learning considering Information Content and Bias R Huang, M Jones, X Lin 2023 American Control Conference (ACC), 3093-3098, 2023 | | 2023 |
Extensions of the Dynamic Programming Framework M Jones Arizona State University, 2021 | | 2021 |