Computational complexity in robust controller synthesis

  • Shinji Hara
  • Yuji Yamada
Part A Learning And Computational Issues
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 241)


This paper is concerned with the computational complexity analysis in robust control problems. We first formulate a fairly general class of nonconvex optimization problem named “Matrix Product Eigenvalue Problem (MPEP)” and explain the connection to robust control problems. We next summarize the worst case computational complexity results and investigate the computational cost for the actual case. Finally, we make a comparison with an element-wise bounding for the BMI optimization problem and a matrix-based bounding for the MPEP.


Linear Matrix Inequality Relaxation Problem Static Output Feedback Nonconvex Optimization Problem Computational Complexity Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Shinji Hara
  • Yuji Yamada
    • 1
  1. 1.Department of Computational Intelligence and Systems ScienceTokyo Institute of TechnologyYokohamaJapan

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