Author | Stoilov, Todor. author |
---|---|
Title | Noniterative Coordination in Multilevel Systems [electronic resource] / by Todor Stoilov, Krassimira Stoilova |
Imprint | Dordrecht : Springer Netherlands, 1999 |
Connect to | http://dx.doi.org/10.1007/978-94-009-0017-2 |
Descript | XIV, 270 p. online resource |
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 โsuggestion-correctionโ 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 -- 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 -- IV Noniterative Coordination applying Rational Pade Functions -- 4.1. Pade approximation of x(X) -- 4.2. Modified optimization problem -- 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