Global Optimization in Control System Analysis and Design
V. Balakrishnan and S. Boyd
Book chapter in Control and Dynamic Systems: Advances in Theory and Aplications, C. T. Leondes, editor, part 1, 53:1-56, Academic Press, 1992. Conference paper appeared in The First IEEE Regional Conference on Aerospace Control Systems, pp.421-425, 1993.
We present branch and bound algorithms for the computation of several important quantities (best- and worst-case norms and best- and worst-case state decay rates) that arise in the analysis and design of parameter-dependent linear systems.