Quasilinearization and invariant imbedding : with applications to chemical engineering and adaptive control / E. Stanley Lee.

Format:

Book

Author/Creator:

Lee, E. Stanley (Eugene Stanley), 1930-

Series:

Mathematics in science and engineering ; v. 41.

Mathematics in science and engineering ; v. 41

Language:

English

Subjects (All):

Boundary value problems--Numerical solutions.

Boundary value problems.

Adaptive control systems.

Invariant imbedding.

Quasilinearization.

Physical Description:

1 online resource (351 p.)

Place of Publication:

New York : Academic Press, 1968.

Language Note:

English

Summary:

Quasilinearization and invariant imbedding, with applications to chemical engineering and adaptive control

Contents:

Front Cover; Quasilinearization and Invariant Imbedding; Copyright Page; Contents; Preface; Chapter 1. Introductory Concepts; 1. Introduction; 2. Quasilinearization; 3. Invariant Imbedding; 4. Invariant Imbedding versus the Classical Approach; 5. Numerical Solution of Ordinary Differential Equations; 6. Numerical Solution Terminologies; References; Chapter 2. Quasilinearization; 1. Introduction; 2. Nonlinear Boundary-Value Problems; 3. Linear Boundary-Value Problems; 4. Finite-Difference Method for Linear Differential Equations; 5. Discussion; 6. Newton-Raphson Method; 7. Discussion

8. Quasilinearization9. Discussion; 10. Existence and Convergence; 11. Existence; 12. Convergence; 13. Maximum Operation and Differential Inequalities; 14. Construction of a Monotone Sequence; 15. Approximation in Policy Space and Dynamic Programming; 16. Discussion; 17. Systems of Differential Equations; References; Chapter 3. Ordinary Differential Equations; 1. Introduction; 2. A Second-Order Nonlinear Differential Equation; 3. Recurrence Relation; 4. Computational Procedure; 5. Numerical Results; 6. Stability Problem in Numerical Solution-The Fixed Bed Reactor; 7. Finite-Difference Method

8. Systems of Algebraic Equations Involving Tridiagonal Matrices9. Numerical Results; 10. Stability Problem with High Peclet Number; 11. Adiabatic Tubular Reactor with Axial Mixing; 12. Numerical Results; 13. Discussion; 14. Unstable Initial-Value Problems; 15. Discussion; 16. Systems of Differential Equations; 17. Computational Considerations; 18. Simultaneous Solution of Different Iterations; References; Chapter 4. Parameter Estimation; 1. Introduction; 2. Parameter Estimation and the "Black Box" Problem; 3. Parameter Estimation and the Experimental Determination of Physical Constants

4. A Multipoint Boundary-Value Problem5. The Least Squares Approach; 6. Computational Procedure for a Simpler Problem; 7. Numerical Results; 8. Nonlinear Boundary Condition; 9. Random Search Technique; 10. Numerical Results; 11. Discussion; 12. Parameter Up-dating; 13. Discussion; 14. Estimation of Chemical Reaction Rate Constants; 15. Differential Equations with Variable Coefficients; 16. An Example; 17. Ill-Conditioned Systems; 18. Numerical Results; 19. Discussion; 20. An Empirical Approximation; 21. Numerical Results; 22. A Second Approximation; 23. Numerical Results

24. Differential Approximation25. A Second Formulation; 26. Computational Aspects; 27. Discussion; References; Chapter 5. Optimization; 1. Introduction; 2. Optimum Temperature Profiles in Tubular Reactors; 3. Numerical Results; 4. Discussion; 5. Back and Forth Integration; 6. Two Consecutive Gaseous Reactions; 7. Optimum Pressure Profile in Tubular Reactor; 8. Numerical Results; 9. Optimum Temperature Profile with Pressure as Parameter; 10. Numerical Results and Procedures; 11. Calculus of Variations with Control Variable Inequality Constraint

12. Calculus of Variations with Pressure Drop in the Reactor

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

1-282-61870-9

9786612618703

0-08-095549-5

OCLC:

700919059