#### Analysis of Nonlinear Systems using Sum-of-Squares
Optimization

##### Peter Seiler, Honeywell Labs

The talk will be split into two parts. The first part of the talk will
give an overview of research projects being done in the Guidance and Control
Group at the Honeywell Labs. In particular, the flight control systems for
Boeing 777/787 and the collision avoidance system for an RMAX helicopter will
be discussed. The second part of the talk will focus on using sum-of-squares
optimization to analyze the performance of polynomial systems. The proposed
method uses simulation data to intelligently construct Lyapunov function
candidates. Sum-of-squares optimization is then used to compute provable
regions-of-attraction based on these candidates. The long term objective of
this research is to develop performance and robustness tools for nonlinear
systems.