LEADER 04110nam 22005535 450 001 9910872197203321 005 20240708095231.0 010 $a9789819960545$b(electronic bk.) 010 $z9789819960538 024 7 $a10.1007/978-981-99-6054-5 035 $a(MiAaPQ)EBC31520452 035 $a(Au-PeEL)EBL31520452 035 $a(CKB)32691735500041 035 $a(DE-He213)978-981-99-6054-5 035 $a(EXLCZ)9932691735500041 100 $a20240707d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis and Control for Fractional-order Systems /$fby Yonggui Kao, Changhong Wang, Hongwei Xia, Yue Cao 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (236 pages) 311 08$aPrint version: Kao, Yonggui Analysis and Control for Fractional-Order Systems Singapore : Springer,c2024 9789819960538 327 $aChapter 1. Introduction -- Part I. Control and Synchronization of Several Classes of General Fractional Systems -- Chapter 2. Adaptive Sliding Mode Control for Uncertain General Fractional Chaotic Systems -- Chapter 3. Synchronization of Uncertain General Fractional Unified Chaotic Systems via Finite-Time Adaptive Sliding Mode Control -- Chapter 4. Finite-time Synchronization of Delayed Fractional-order Heterogeneous Complex Networks -- Chapter 5. Mittag-Leffler Synchronization of Fractional-order Memristor-based Neural Networks with Leakage and Time-varying Delays -- Part II. Stability, Control and Synchronization of Several Classes of Fractional Reaction-Diffusion Systems -- Chapter 6. Global ML Stability of the Delayed Fractional-order Coupled Reaction-Diffusion System on Networks Without Strong Connectedness -- Chapter 7. Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control -- Chapter 8. Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control based on Finite-Time Scheme -- Part III. Dynamic Behavior of Fractional-order System with Functional Response Function -- Chapter 9. Impact of Fear Effect and Prey Refuge on a Fractional Order Prey-Predator System with Beddington-DeAngelis Functional Response -- Chapter 10. A Fractional-order Food Chain System Incorporating Holling-II type Functional Response and Prey Refuge. 330 $aThis book focuses on the applications of various types of fractional-order differential equations. The authors present their latest research results. This book for the first time introduces the concept of general fractional chaotic systems and their synchronisation, investigates the synchronisation of a fractional coupled reaction-diffusion system using a sliding mode control approach, and considers the impacts of fear and prey escape on a fractional-order prey-predator system with Beddington-DeAngelis functional response. Authors believe that these recent research results can promote the applications of fractional-order differential equations in diverse areas. The book will be attractive to researchers in various fields of mathematics, biomathematics and engineering. Graduate students in related fields may also find this book useful. 606 $aSystem theory 606 $aControl theory 606 $aDifferential equations 606 $aSystems Theory, Control 606 $aDifferential Equations 615 0$aSystem theory. 615 0$aControl theory. 615 0$aDifferential equations. 615 14$aSystems Theory, Control. 615 24$aDifferential Equations. 676 $a629.8 700 $aKao$b Yonggui$01448779 701 $aWang$b Changhong$01744218 701 $aXia$b Hongwei$01744219 701 $aCao$b Yue$01744220 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910872197203321 996 $aAnalysis and Control for Fractional-Order Systems$94174046 997 $aUNINA