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内容説明 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.