{"product_id":"9783032084002","title":"Texts in Applied Mathematics: Linear Quadratic Control and Adaptive Feedback","description":"\u003ch1\u003eTexts in Applied Mathematics: Linear Quadratic Control and Adaptive Feedback\u003c\/h1\u003e \u003ch2\u003eHinrichsen, Diederich; Pritchard, Anthony J.; Colonius, Fritz; Damm, Tobias; Ilchmann, Achim; Jacob, Birgit; Wirth, Fabian R.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003eThis is the third and final volume of Mathematical Systems Theory. Like the preceding volumes, it presents the mathematical foundations of systems and control theory in a self-contained, comprehensive, detailed, and mathematically rigorous manner. The exposition proceeds from the very general to the more specific, with rigorous mathematics complemented by numerous illustrations and explanatory remarks.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003eVolume III comprises two chapters and an appendix. In contrast to the first two volumes, only continuous-time systems are considered here. Chapter 9 addresses linear-quadratic optimal control and the Riccati equation, while Chapter 10 deals with zero dynamics and adaptive feedback regulation. Distinctive features include:\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a comprehensive treatment of the linear-quadratic optimal control problem\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a presentation of the bounded real and the Kalman–Yakubovich–Popov Lemma\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a systematic development of spectral factorization\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a study of the relative degree in state space and frequency domain\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a detailed exposition of the Byrnes–\u003c\/span\u003e\u003cspan lang=\"IT\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: IT; mso-fareast-language: EN-US;\"\u003eIsidori form\u003c\/span\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e and zero dynamics\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003e• a development of the fundamentals of high-gain adaptive and funnel control.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan lang=\"EN-US\" style=\"font-size: 11.0pt; mso-bidi-font-family: 'Times New Roman'; color: black; mso-ligatures: standardcontextual; mso-ansi-language: EN-US; mso-fareast-language: EN-US;\"\u003eThe book combines the characteristics of a detailed introductory textbook with those of a reference source. The material should be accessible to mathematics students after two years of study, as well as to engineering students with a strong mathematical background. It will be of value to researchers in systems theory, as well as to mathematicians and engineers seeking to acquire a solid understanding of the mathematical foundations of the topics outlined above.\u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2026-02-06\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783032084002\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-032-08401-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 425\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44478036541580,"sku":"9783032084002","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032084002.jpg?v=1772816880","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032084002","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}