Scholars@Duke
Leila Bridgeman

Leila Bridgeman

Assistant Professor in the Thomas Lord Department of Mechanical Engineering and Materials Science
Thomas Lord Department of Mechanical Engineering and Materials Science
leila.bridgeman@duke.edu
219 North Building, Box 103957, Durham, NC 27708
North Building, Office 129, 304RESEARCH Dr-Box 103957, Durham, NC 27708

Scholarly Works - Preprints

Communication-Aware Dissipative Control for Networks of Heterogeneous Nonlinear Agents

Preprint · November 26, 2025 Communication-aware control is essential to reduce costs and complexity in large-scale networks. However, it is challenging to simultaneously determine a sparse communication topology and achieve high performance and robustness. This work achieves all thre ... Link to item Cite

Adaptive Meshing for CPA Lyapunov Function Synthesis

Preprint · November 25, 2025 Continuous piecewise affine (CPA) Lyapunov function synthesis is one method to perform Lyapunov stability analysis for nonlinear systems. This method first generates a mesh over the region of interest in the system's state space and then solves a linear pr ... Link to item Cite

Data driven synthesis of provable invariant sets via stochastically sampled data

Preprint · November 24, 2025 Positive invariant (PI) sets are essential for ensuring safety, i.e. constraint adherence, of dynamical systems. With the increasing availability of sampled data from complex (and often unmodeled) systems, it is advantageous to leverage these data sets for ... Link to item Cite

Dissipativity and L2 Stability of Large-Scale Networks with Changing Interconnections

Preprint · November 23, 2025 In this paper, the L2 stability of switched networks is studied based on the QSR-dissipativity of each agent. While the integration of dissipativity with switched systems has received considerable attention, most previous studies have focused on passivity, ... Link to item Cite