H-infinity Engineering and Amplifier Optimization

• 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.

"This book deals with the electronic amplifier matching problem and proposes a general approach in the H-infinity framework. Loosely speaking, the design procedure is a multi-objective optimization which simultaneously maximizes the transducer power gain, minimizes the noise figure, and guarantees stability. Basically these objectives are competing, and the book shows how the H-infinity framework provides tools to circumvent this problem... The book begins with a thorough background on circuit theory, H-infinity and control theory, and then deals with the amplifier matching problem, of which some examples are displayed... The monograph concludes with a collection of open problems." -Mathematical Reviews