Graph and 2-D optimization theory and their application for discrete simulation of gas transportation networks and industrial processes with repetitive operations
In Chapter 1, the new algorithm for optimization of graph networks used the iterative procedure based on the principle of the decreasing suboptimality estimate and exploiting the duality theory. Also, 2-D system setting approach for studying optimal control programm for gas pressure and gas flow at the pipeline unit. In Chapter 2, the strong mathematical background for the 2-D control optimization problem where the existence and uniqueness of optimal solution (Theorem 5) is proved, the various representations form for optimal control (Theorem 7) including feedback control law (Theorem 10) are established. Also, a specific optimization problem via boundary data (Theorem 8) is solved. In Chapter 3, the optimality conditions in classic principle maximum form (Theorem 13) for a nonstationary repetitive process with general intermediate constraints. Also, the new constructive optimality (Theorem 14) and sub-optimality (Theorem 15) conditions for the particular stationary repetitive models. In Chapter 4, extension of the delay time system approach for studying differential repetitive processes and investigation of system theoretic properties such as controllability (Theorem 18) and optimality (Theorem 21) for the hybrid (time delayed differential - algebraic) with integral constraints (Theorem22).
info:eu-repo/classification/ddc/510, Kontrolltheorie, Optimierung, Mehrstoffsystem, Mathematisches Modell, Gastransport <Gasversorgung>, Netzwerkfluss, Zeitverzögertes System, Mathematik, Control theory, linear quadratic optimization, multidimensional systems, gas transportation networks, time delay system
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