This book presents the parallel algorithms for optimal controllers of large scale linear dynamical systems inherently parallel in nature, namely for singularly perturbed and weakly coupled linear systems. The book is written in the spirit of parallel and distributed computations (Bertsekas and Tsitsiklis, 1989; 1991) and parallel processing of information in terms of the reduced-order controllers and filters (Gajic et al. , 1990). It covers almost all important concepts of the optimal linear control theory and its applications, in the context of continuous and discrete, deterministic and stochastic linear systems. A generalization of the presented methods to the optimal control of singularly perturbed and weakly coupled bilinear systems is also considered.


Optimal Control Problem Riccati Equation Algebraic Riccati Equation Bilinear System Fluid Catalytic Cracker 
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Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Zoran Gajić
    • 1
  • Xuemin Shen
    • 2
  1. 1.Department of Electrical and Computer EngineeringRutgers UniversityUSA
  2. 2.Department of Electrical EngineeringUniversity of AlbertaEdmontonCanada

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