Leila Bridgeman

Leila Bridgeman

Postdoctoral Associate

Leila Bridgeman will join Duke as an assistant professor of mechanical engineering and materials science on January 1, 2018.

She received B.Sc. and M.Sc. degrees in Applied Mathematics in 2008 and 2010 from McGill University, Montreal. In 2016, she completed a Ph.D. in Mechanical engineering, also at McGill University.

Her doctoral research involved a return to the foundational work of George Zames, exploring how the theory of conic sectors can be used to design controllers that guarantee closed-loop input-output stability when more conventional methods fail to apply. Her graduate studies involved research semesters at University of Michigan, University of Bern, and University of Victoria, along with an internship at Mitsubishi Electric Research Laboratories (MERL) in Boston.

Through her research, Leila strives to bridge the gap between theoretical results in robust and optimal control and their use in practice. She explores how the tools of numerical analysis and input-output stability theory can be applied to the most challenging of controls problems, including the control of delayed, open-loop unstable, and nonminimum-phase systems.  Her focus has been on the development of readily-applicable controller synthesis and stability analysis methods based on the evaluation of linear matrix inequalities (LMIs). Resulting publications have considered applications of this work to robotic, process control, and time-delay systems.

She is also interested in model predictive control (MPC) especially when applied to switched systems. Bridgeman continues to collaborate with colleagues at MERL, enabling the use of MPC in novel applications including networked systems, vehicle control, heating, and ventilation.

Appointments and Affiliations

  • Postdoctoral Associate

Contact Information

  • Office Location: North Building, Office 129, 304 Research Dr-Box 103957, Durham, NC 27708
  • Office Phone: +1 919 660 1260
  • Email Address: leila.bridgeman@duke.edu
  • Websites:

Research Interests

Robust and optimal control, linear matrix inequalities (LMIs), model predictive control (MPC), delayed systems, input-output stability, passivity.

In the News

Representative Publications

  • Chee, SA; Bridgeman, L; Forbes, AJR, Norm- and Linear-Inequality-Constrained State Estimation: An LMI Approach, 1st IEEE Conference on Control Technology and Applications (2017) [abs].
  • Bridgeman, LJ; Forbes, JR, Conic Controller Synthesis that Minimizes an Upper Bound on the Closed-Loop $\mathcalH_2$-Norm, 2017 American Control Conference (2017) [abs].
  • Danielson, C; Bridgeman, LJ; Cairano, SD, Constraint Satisfaction for Switched Linear Systems with Restricted Dwell-Time, 2017 American Control Conference (2017) [abs].
  • Bridgeman, LJ; Forbes, JR, Conic Bounds for Systems Subject to Delays, IEEE Transactions on Automatic Control, vol 62 no. 4 (2017), pp. 2006-2013 [10.1109/TAC.2016.2596680] [abs].
  • Bridgeman, LJ; Forbes, JR, A Comparative Study of Input-Output Stability Results, IEEE Transactions on Automatic Control (2017), pp. 1-1 [10.1109/TAC.2017.2717898] [abs].