LEADER 03745nam 2200649Ia 450 001 9910454409003321 005 20200520144314.0 010 $a1-281-95140-4 010 $a9786611951405 010 $a981-279-985-0 035 $a(CKB)1000000000537990 035 $a(EBL)1679603 035 $a(OCoLC)815754656 035 $a(SSID)ssj0000199174 035 $a(PQKBManifestationID)11187633 035 $a(PQKBTitleCode)TC0000199174 035 $a(PQKBWorkID)10187947 035 $a(PQKB)10426461 035 $a(MiAaPQ)EBC1679603 035 $a(WSP)00004761 035 $a(Au-PeEL)EBL1679603 035 $a(CaPaEBR)ebr10255587 035 $a(CaONFJC)MIL195140 035 $a(EXLCZ)991000000000537990 100 $a20020120d2001 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical problems of control theory$b[electronic resource] $ean introduction /$fGennady A. Leonov 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001 215 $a1 online resource (182 p.) 225 1 $aSeries on stability, vibration and control of systems, Series A ;$v4 300 $aDescription based upon print version of record. 311 $a981-02-4694-3 320 $aIncludes bibliographical references (p. 167-169) and index. 327 $aContents; 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 approximation 327 $a1.4 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 Controllability 327 $a3.2 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 system 327 $a4.2 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 processors 327 $aChapter 6 The Aizerman conjecture. The Popov method Bibliography; Index 330 $aThis book shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe a 410 0$aSeries on stability, vibration, and control of systems.$nSeries A ;$vv. 4. 606 $aControl theory$xMathematical models 608 $aElectronic books. 615 0$aControl theory$xMathematical models. 676 $a629.80151 676 $a629.8312 700 $aLeonov$b G. A$g(Gennadii? Alekseevich)$0909966 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454409003321 996 $aMathematical problems of control theory$92036533 997 $aUNINA