## Optimization and design |

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### Contents

DECOMPOSITION OF STRUCTURED SYSTEMS | 373 |

DISCUSSION FOR DECOMPOSITION STUDY AND APPLICATIONS | 382 |

DIFFERENTIAL OPTIMIZATION OF STRUCTURED SYSTEMS | 389 |

Copyright | |

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algorithm applications approach approximation barrier function Boolean bound coefficients column components computed conjugate transform consider constrained derivatives constraint set convergence convex functions convex program corresponding cost cycle defined denote design problems differential direction dual problem dual program duality Duffin dynamic programming equations evaluations example feasible solution set Fiacco finite formulation geometric dual geometric programming given gradient heat exchange Hence Hessian matrix inequality constraints infimum input integer programming interior-point iteration Kuhn-Tucker Lagrange multiplier Lagrangian linear programming loop Math mathematical programming matrix maximizing methods Miele nonempty Nonlinear Programming objective function obtained optimal solution set optimization problem optimization theory optimum output parameter penalty function perturbation Peterson positive posynomial posynomial program primal procedure programming problem quadratic quadric satisfy sequence signomial solved stationary point step straints structure techniques temperature Theorem tion unconstrained minimization vector vertex Wilde Zener zero