140 citations · 680 across the 37 of their papers we have counts for
6 papers · 1 filter
On the Relaxation of Hybrid Dynamical Systems
Tyler Westenbroek, S. Shankar Sastry, Humberto Gonzalez
Hybrid dynamical systems have proven to be a powerful modeling abstraction, yet fundamental questions regarding the dynamical properties of these systems remain. In this paper, we…
Event-Selected Vector Field Discontinuities Yield Piecewise-Differentiable Flows
Samuel A. Burden, S. Shankar Sastry, Daniel E. Koditschek +1
We study a class of discontinuous vector fields brought to our attention by multi-legged animal locomotion. Such vector fields arise not only in biomechanics, but also in robotics,…
Incentive Design and Utility Learning via Energy Disaggregation
Lillian J. Ratliff, Roy Dong, Henrik Ohlsson +1
The utility company has many motivations for modifying energy consumption patterns of consumers such as revenue decoupling and demand response programs. We model the utility compan…
Model Reduction Near Periodic Orbits of Hybrid Dynamical Systems
Samuel A. Burden, Shai Revzen, S. Shankar Sastry
We show that, near periodic orbits, a class of hybrid models can be reduced to or approximated by smooth continuous-time dynamical systems. Specifically, near an exponentially stab…
A Dynamical Systems Approach to Energy Disaggregation
Roy Dong, Lillian Ratliff, Henrik Ohlsson +1
Energy disaggregation, also known as non-intrusive load monitoring (NILM), is the task of separating aggregate energy data for a whole building into the energy data for individual…
Dimension Reduction Near Periodic Orbits of Hybrid Systems
Samuel Burden, Shai Revzen, S. Shankar Sastry
When the Poincaré map associated with a periodic orbit of a hybrid dynamical system has constant-rank iterates, we demonstrate the existence of a constant-dimensional invariant sub…