SOSTOOLS and its control applications

作     者：Prajna, Stephen Papachristodoulou, Antonis Seiler, Peter Parrilo, Pablo A. 

作者机构：Control and Dynamical Systems California Institute of Technology Pasadena CA 91125 United States Mechanical and Industrial Engineering Dept. University of Illinois at Urbana-Champaign Urbana IL 61801 United States Automatic Control Laboratory Swiss Federal Institute of Technology CH-8092 Zürich Switzerland 

出 版 物：《Lecture Notes in Control and Information Sciences》 (Lect. Notes Control Inf. Sci.)

年 卷 期：2005年第312卷

页      面：273-292页

核心收录：

主　　题：MATLAB 

摘      要：In this chapter we present SOSTOOLS, a third-party MATLAB toolbox for formulating and solving sum of squares optimization problems. Sum of squares optimization forms a basis for formulating convex relaxations to computationally hard problems such as some that appear in systems and control. Currently, sum of squares programs are solved by casting them as semidefinite programs, which can in turn be solved using interior-point based numerical methods. SOSTOOLS helps this translation in such a way that the underlying computations are abstracted from the user. Here we give a brief description of the toolbox, its features and capabilities (with emphasis on the recently added ones), as well as show how it can be applied to solving problems of interest in systems and control. © Springer-Verlag Berlin Heidelberg 2005.