03745nam 2200649Ia 450 991045440900332120200520144314.01-281-95140-49786611951405981-279-985-0(CKB)1000000000537990(EBL)1679603(OCoLC)815754656(SSID)ssj0000199174(PQKBManifestationID)11187633(PQKBTitleCode)TC0000199174(PQKBWorkID)10187947(PQKB)10426461(MiAaPQ)EBC1679603(WSP)00004761(Au-PeEL)EBL1679603(CaPaEBR)ebr10255587(CaONFJC)MIL195140(EXLCZ)99100000000053799020020120d2001 uy 0engurcn|||||||||txtccrMathematical problems of control theory[electronic resource] an introduction /Gennady A. LeonovSingapore ;River Edge, NJ World Scientificc20011 online resource (182 p.)Series on stability, vibration and control of systems, Series A ;4Description based upon print version of record.981-02-4694-3 Includes bibliographical references (p. 167-169) and index.Contents; Preface; Chapter 1 The Watt governor and the mathematical theory of stability of motion; 1.1 The Watt flyball governor and its modifications; 1.2 The Hermite-Mikhailov criterion; 1.3 Theorem on stability by the linear approximation1.4 The Watt governor transient processes Chapter 2 Linear electric circuits. Transfer functions and frequency responses of linear blocks; 2.1 Description of linear blocks; 2.2 Transfer functions and frequency responses of linear blocks; Chapter 3 Controllability, observability, stabilization; 3.1 Controllability3.2 Observability 3.3 A special form of the systems with controllable pair (A,b); 3.4 Stabilization. The Nyquist criterion; 3.5 The time-varying stabilization. The Brockett problem; Chapter 4 Two-dimensional control systems. Phase portraits; 4.1 An autopilot and spacecraft orientation system4.2 A synchronous electric machine control and phase locked loops 4.3 The mathematical theory of populations; Chapter 5 Discrete systems; 5.1 Motivation; 5.2 Linear discrete systems; 5.3 The discrete phase locked loops for array processorsChapter 6 The Aizerman conjecture. The Popov method Bibliography; IndexThis book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe aSeries on stability, vibration, and control of systems.Series A ;v. 4.Control theoryMathematical modelsElectronic books.Control theoryMathematical models.629.80151629.8312Leonov G. A(Gennadiĭ Alekseevich)909966MiAaPQMiAaPQMiAaPQBOOK9910454409003321Mathematical problems of control theory2036533UNINA