Publikationsserver der RWTH Aachen University
Graph and 2-D optimization theory and their application for discrete simulation of gas transportation networks and industrial processes with repetitive operations
Abstract
dc:descriptionIn 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).
Degree
thesis:*- Grantor dc:publisher
- Publikationsserver der RWTH Aachen University
- Year dc:date
- 2007
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Dymkou, Siarhei Michailovic
- Contributors dc:contributor
-
- Jank, Gerhard
Subjects
dc:subject × 14Rights
dc:rights- Statement dc:rights
-
- info:eu-repo/semantics/openAccess
- Language dc:language
- eng
Identifiers
dc:identifier.*- OAI identifier oai:identifier
- oai:publications.rwth-aachen.de:62464