Sanjay Lall
- Associate Professor of Electrical Engineering
- Associate Professor of Aeronautics and Astronautics
- Vance D. and Arlene C. Coffman Faculty Scholar
- Stanford University
Positive Forms and Stability of Linear Time-Delay Systems
We consider the problem of constructing Lyapunov functions for linear differential equations with delays. For such systems it is known that exponential stability implies the existence of a positive Lyapunov function which is quadratic on the space of continuous functions. We give an explicit parameterization of a sequence of finite-dimensional subsets of the cone of positive Lyapunov functions using positive semidefinite matrices. This allows stability analysis of linear time-delay systems to be formulated as a semidefinite program.
Links
Current Courses
- Autumn 09-10 EE 263: Introduction to Linear Dynamical Systems
- Winter 09-10 Engr207b: Linear Control Systems 2
Past Courses
- Engr207a Linear Control Systems 1
- Engr207c Linear Control Systems 3
- Engr210a v1Robust Control Analysis and Synthesis
- Engr210a v2Introduction to Stochastic Control
- Engr210bAdvanced Topics in Computation for Control
Contact
- Web: Sanjay Lall
- Email: lall@stanford.edu
Electrical Engineering
- Office: 235 Packard
- Phone: (650) 723-1343
- Fax: (650) 723-8473
- Assistant: Pat Oshiro
- Email: poshiro@stanford.edu
- Phone: (650) 723-2681
Aeronautics and Astronautics
- Office: 261 Durand
- Phone: (650) 723-4432
- Fax: (650) 723-3738
- Assistant: Sherann Ellsworth
- Email: sheranne@stanford.edu
- Phone: (650) 723-3389