Noniterative Coordination in Multilevel Systems
Multilevel decision theory arises to resolve the contradiction between increasing requirements towards the process of design, synthesis, control and management of complex systems and the limitation of the power of technical, control, computer and other executive devices, which have to perform action...
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| Format: | eBook |
| Language: | English |
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Dordrecht
Springer Netherlands
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Nonconvex Optimization and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 3.3. Evaluation of the optimal coordination Xopt
- 3.4. Assessment of the approximations of x(X), H(X)
- 3.5. Approximation of the global optimization problem
- 3.6. Analytical solution of the general problem of quadratic programming
- 3.7. Noniterative coordination for block diagonal optimization problems
- 3.8. Analytical solution of the quadratic programming problem in the block diagonal case
- 3.9. Examples of block-diagonal problems
- 3.10. Global optimization problem with inequality constraints
- 3.11. Application of noniterative coordination to the general problem of quadratic programming
- 3.12. Application of noniterative coordination for the optimal management of traffic lights of neighbor junctions
- 3.13. Application of noniterative coordination for optimal wireless data communication
- 3.14. Conclusions
- IVNoniterative Coordination applying Rational Pade Functions
- 4.1. Pade approximation of x(X)
- 4.2. Modified optimization problem
- I Hierarchical Systems and Their Management
- 1.1 Hierarchical optimization of a catalytic cracking plant
- 1.2. Hierarchical optimization of a hydro and thermal power plant system
- 1.3. Hierarchical optimization and management of an interconnected dynamical system
- 1.4. Mathematical models in hierarchical multilevel system theory
- 1.5. Two level mathematical programming models
- 1.6. Hierarchical model applications
- 1.7. Mathematical modeling in hierarchical system theory - summary
- II One step Coordination as a Tool for Real Time System Management
- 2.1. Relations between multilevel and multilayer hierarchies
- 2.2. One step coordination “suggestion-correction” protocols - a new noniterative multilevel strategy
- 2.3. General mathematical modeling for noniterative coordination
- III Noniterative Coordination with Linear Quadratic Approximations
- 3.1. Analytical solution of the primal Lagrange problem
- 3.2. Evaluation of the matrix dx/dX
- 4.3. Dual Lagrange problem
- 4.4. Dual Lagrange problem with approximation
- 4.5. Application of noniterative coordination for optimal hierarchical control of interconnected systems
- 4.6. Application of noniterative coordination for fast solution of nonlinear optimization problems
- 4.7. Comparison between the SQP, QQ and LQ algorithms on optimization problem for vector X
- 4.7. Conclusions
- Epilogue
- Appendices
- References