Optimal Control of Singularly Perturbed and Weakly Coupled Bilinear Systems

  • Zoran Gajić
  • Xuemin Shen
Part of the Communications and Control Engineering Series book series (CCE)


The theory of singular perturbations has been a highly recognized and rapidly developing area of control systems research in the last twenty five years (Kokotovic et al. , 1986; Kokotovic and Khalil, 1986; Gajic et al. , 1990). Almost all important control aspects for linear systems have been studied so far and valuable and practically implementable results have been obtained. The extension of these results to the nonlinear systems happened to be a very difficult task. Only under very restrictive conditions and for very limited classes of nonlinear systems some results were obtained (Saberi and Khalil, 1984, 1985; O’Malley, 1974a, 1974b; Chow and Kokotovic, 1978a, 1978b, 1981; Suzuki, 1981).


Optimal Control Problem Algebraic Riccati Equation Bilinear System Singularly Perturb Fast Subsystem 
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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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