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140122 ||| eng |
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|a 9781461242727
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| 100 |
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|a Subrahmanyam, M.Bala
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| 245 |
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|a Finite Horizon H∞ and Related Control Problems
|h Elektronische Ressource
|c by M.Bala Subrahmanyam
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| 250 |
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|a 1st ed. 1995
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| 260 |
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|a Boston, MA
|b Birkhäuser
|c 1995, 1995
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| 300 |
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|a X, 122 p
|b online resource
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| 505 |
0 |
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|a 1 Necessary Conditions for Optimality in Problems with Nonstandard Cost Functionals -- 1. Introduction -- 2. Preliminaries -- 3. Necessary Conditions For Optimality -- 4. Cost Functional Of The Form Of A Product -- 5. Certain Generalizations -- References -- 2 Synthesis of Suboptimal H? Controllers over a Finite Horizon -- Abstract -- 1. Introduction -- 2. Finite Horizon Problem -- 3. Computation Of
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Systems & Control: Foundations & Applications
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| 028 |
5 |
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|a 10.1007/978-1-4612-4272-7
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| 856 |
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|u https://doi.org/10.1007/978-1-4612-4272-7?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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| 520 |
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|a HIS book presents a generalized state-space theory for the analysis T and synthesis of finite horizon suboptimal Hoo controllers. We de rive expressions for a suboptimal controller in a general setting and propose an approximate solution to the Hoo performance robustness problem. The material in the book is taken from a collection of research papers written by the author. The book is organized as follows. Chapter 1 treats nonlinear optimal control problems in which the cost functional is of the form of a quotient or a product of powers of definite integrals. The problems considered in Chap ter 1 are very general, and the results are useful for the computation of the actual performance of an Hoo suboptimal controller. Such an application is given in Chapters 4 and 5. Chapter 2 gives a criterion for the evaluation of the infimal Hoc norm in the finite horizon case. Also, a differential equation is derived for the achievable performance as the final time is varied. A general suboptimal control problem is then posed, and an expression for a subopti mal Hoo state feedback controller is derived. Chapter 3 develops expressions for a suboptimal Hoo output feedback controller in a very general case via the solution of two dynamic Riccati equations. Assuming the adequacy of linear expressions, Chapter 4 gives an iterative procedure for the synthesis of a suboptimal Hoo controller that yields the required performance even under parameter variations
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