LEADER 03576nam 22005415 450 001 9910338254403321 005 20200705162625.0 010 $a3-030-06212-0 024 7 $a10.1007/978-3-030-06212-5 035 $a(CKB)4100000007592125 035 $a(DE-He213)978-3-030-06212-5 035 $a(MiAaPQ)EBC5654946 035 $a(PPN)233799966 035 $a(EXLCZ)994100000007592125 100 $a20190129d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aImpulsive Systems on Hybrid Time Domains /$fby Xinzhi Liu, Kexue Zhang 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (IX, 321 p. 63 illus., 51 illus. in color.) 225 1 $aIFSR International Series in Systems Science and Systems Engineering,$x1574-0463 ;$v33 311 $a3-030-06211-2 327 $aI. Introduction -- 1. Introduction -- II. Discrete-Time Impulsive Systems -- 2. Stability of Discrete-Time Impulsive Systems with Time-Delay -- 3. Application to Synchronization of Dynamical networks -- III. Continuous-Time Impulsive Systems -- 4. Stability of Impulsive Systems with Time-Delay -- 5. Consensus of Multi-Agent Systems -- 6. Stabilization and Synchronization of Dynamical Networks -- IV. Impulsive Systems on Time Scales -- 7. Differential Equations on Time Scales -- 8. Stability in terms of Two Measures of Impulsive Systems on Time Scales -- 9. Exponential Stability of Impulsive Time-Delay Systems on Time Scales -- 10. Control Problems on Time Scales -- V. Conclusions and Future Work -- 11. Conculsions and Future Directions. 330 $aThis monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research. 410 0$aIFSR International Series in Systems Science and Systems Engineering,$x1574-0463 ;$v33 606 $aDynamics 606 $aErgodic theory 606 $aSystem theory 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aSystem theory. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aSystems Theory, Control. 676 $a515.39 676 $a515.48 676 $a003 700 $aLiu$b Xinzhi$4aut$4http://id.loc.gov/vocabulary/relators/aut$041492 702 $aZhang$b Kexue$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338254403321 996 $aImpulsive Systems on Hybrid Time Domains$92517367 997 $aUNINA