| Description |
1 online resource (viii, 136 pages) |
| Series |
Mathematics in science and engineering ; v. 56 |
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Mathematics in science and engineering ; v. 56.
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| Contents |
Front Cover; Functional Analysis and Time Optimal Control; Copyright Page; CONTENTS; Preface; PART I: FUNCTIONAL ANALYSIS; 1. Logical Foundations; 2. Topological Considerations; 3. Ways of Generating a Topology; 4. Linear Topological Spaces; 5. Convex Sets and the Hahn-Banach Theorem; 6. Dual Variational Problems and the Foundations of Moment Problems; 7. Weak and Weak * Topologies; 8. Extreme Points, Exposed Points, and the Liapunov Theorem; 9. Finite-Dimensional Vector Space; 10. Linear Differential Equations; PART II: LINEAR TIME OPTIMAL CONTROL; 11. The General Linear Time Optimal Problem |
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12. General Properties of the Reachable Set and the Bang-Bang Principle13. General Theorems on Optimal Control; 14. Questions of Uniqueness and Properties of the Boundary of the Reachable Set; 15. Unique Determination of the Control by the Necessary Condition. Normal Systems; 16. Normality of Systems with Constant Coefficients; 17. Sufficient Conditions for Optimal Control for a Special Problem. Proper Systems; 18. Transversatility and a Sufficient Condition for the General Problem; 19. Controllability with Unlimited Control; PART III: NONLINEAR TIME OPTIMAL CONTROL; 20. General Theory |
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21. Nonlinear Problems with Control Appearing Linearly22. Two-Dimensional, Autonomous, Nonlinear Systems with Control Appearing Linearly; 23. A Further Look at the Maximum Principle and Singular Arcs; References; Subject Index |
| Summary |
Functional analysis and time optimal control |
| Bibliography |
Includes bibliographical references (pages 132-133) and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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Print version record |
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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Control theory.
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Functional analysis.
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TECHNOLOGY & ENGINEERING -- Automation.
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TECHNOLOGY & ENGINEERING -- Robotics.
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Control theory
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Functional analysis
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| Form |
Electronic book
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| Author |
LaSalle, Joseph P
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| ISBN |
9780080955650 |
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0080955657 |
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