Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)

Feedback Systems: Input-Output Properties includes the most basic concepts of matrices and norms, the important fundamental theorems in input-output stability, and the requisite background material in advanced topics such as the small gain theorem and the passivity theorem.

Audience: The text is appropriate for advanced graduate students and researchers in control theory, dynamical systems, and ordinary and partial differential equations.

Contents: Preface to the Classics Edition; Preface; Acknowledgments; Note to the Reader; List of Symbols; Chapter I: Memoryless Nonlinearities; Chapter II: Norms; Chapter III: General Theorems; Chapter IV: Linear Systems; Chapter V: Applications of the Small Gain Theorem; Chapter VI: Passivity; Appendix A: Integrals and Series; Appendix B: Fourier Transforms; Appendix C: Convolution; Appendix D: Algebras; Appendix E: Bellman--Gronwall Lemma; References; Index

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