|
|
|
|
| LEADER |
03828nmm a2200445 u 4500 |
| 001 |
EB000615577 |
| 003 |
EBX01000000000000001348260 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
140122 ||| eng |
| 020 |
|
|
|a 9780817681821
|
| 100 |
1 |
|
|a Allen, Jefferey C.
|
| 245 |
0 |
0 |
|a H-infinity Engineering and Amplifier Optimization
|h Elektronische Ressource
|c by Jefferey C. Allen
|
| 250 |
|
|
|a 1st ed. 2004
|
| 260 |
|
|
|a Boston, MA
|b Birkhäuser
|c 2004, 2004
|
| 300 |
|
|
|a XXXIII, 249 p
|b online resource
|
| 505 |
0 |
|
|a 1 Electric Circuits for Mathematicians -- 2 The Amplifier Matching Problem -- 3 H? Tools for Electrical Engineers -- 4 Lossless N-Ports -- 5 The H? Framework -- 6 Amplifier Matching Examples -- 7 H? Multidisk Methods -- 8 State-Space Methods for Single Amplifiers -- 9 State-Space Methods for Multiple Amplifiers -- 10 Research Topics -- A The Axioms of Electric Circuits -- A.1 Krein Spaces and Angle Operators -- A.2 N-Ports ?Angle Operators -- A.3 Time Invariance ?Convolution -- A.4 Causality ? Analyticity -- Existence -- B Taylor’s Expansion and the Descent Lemma -- Taylor’s Expansion -- The Kolmogorov Criterion -- 237 -- 245
|
| 653 |
|
|
|a Optimization
|
| 653 |
|
|
|a Control, Robotics, Automation
|
| 653 |
|
|
|a Engineering mathematics
|
| 653 |
|
|
|a Control theory
|
| 653 |
|
|
|a Systems Theory, Control
|
| 653 |
|
|
|a System theory
|
| 653 |
|
|
|a Signal, Speech and Image Processing
|
| 653 |
|
|
|a Control engineering
|
| 653 |
|
|
|a Robotics
|
| 653 |
|
|
|a Engineering / Data processing
|
| 653 |
|
|
|a Applications of Mathematics
|
| 653 |
|
|
|a Signal processing
|
| 653 |
|
|
|a Mathematics
|
| 653 |
|
|
|a Automation
|
| 653 |
|
|
|a Mathematical optimization
|
| 653 |
|
|
|a Mathematical and Computational Engineering Applications
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b SBA
|a Springer Book Archives -2004
|
| 490 |
0 |
|
|a Systems & Control: Foundations & Applications
|
| 028 |
5 |
0 |
|a 10.1007/978-0-8176-8182-1
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-0-8176-8182-1?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 003
|
| 520 |
|
|
|a H-infinity engineering continues to establish itself as a discipline of applied mathematics. As such, this extensively illustrated monograph makes a significant application of H-infinity theory to electronic amplifier design, demonstrating how recent developments in H-infinity engineering equip amplifier designers with new tools and avenues for research. The amplification of a weak, noisy, wideband signal is a canonical problem in electrical engineering. Given an amplifier, matching circuits must be designed to maximize gain, minimize noise, and guarantee stability. These competing design objectives constitute a multiobjective optimization problem. Because the matching circuits are H-infinity functions, amplifier design is really a problem in H-infinity multiobjective optimization. To foster this blend of mathematics and engineering, the author begins with a careful review of required circuit theory for the applied mathematician. Similarly, a review of necessary H-infinity theory is provided for the electrical engineer having some background in control theory. The presentation emphasizes how to (1) compute the best possible performance available from any matching circuits; (2) benchmark existing matching solutions; and (3) generalize results to multiple amplifiers. As the monograph develops, many research directions are pointed out for both disciplines. The physical meaning of a mathematical problem is made explicit for the mathematician, while circuit problems are presented in the H-infinity framework for the engineer. A final chapter organizes these research topics into a collection of open problems ranging from electrical engineering, numerical implementations, and generalizations to H-infinity theory
|