Extremal Solutions of Inequations over Lattices with Applications to Supervisory Control

@article{Kumar1995ExtremalSO,
  title={Extremal Solutions of Inequations over Lattices with Applications to Supervisory Control},
  author={Ratnesh Kumar and Vijay K. Garg},
  journal={Theor. Comput. Sci.},
  year={1995},
  volume={148},
  pages={67-92}
}
We study the existence and computation of extremal solutions of a system of inequations de ned over lattices. Using the Knaster-Tarski xed point theorem, we obtain su cient conditions for the existence of supremal as well as in mal solution of a given system of inequations. Iterative techniques are presented for the computation of the extremal solutions whenever they exist, and conditions under which the termination occurs in a single iteration are provided. These results are then applied for… CONTINUE READING
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