LEADER 04730nam 2200673Ia 450 001 9910780861203321 005 20230725041522.0 010 $a1-282-45879-5 010 $a9786612458798 010 $a1-4008-3224-1 024 7 $a10.1515/9781400832248 035 $a(CKB)2520000000007016 035 $a(EBL)483497 035 $a(OCoLC)559739934 035 $a(SSID)ssj0000440229 035 $a(PQKBManifestationID)11925782 035 $a(PQKBTitleCode)TC0000440229 035 $a(PQKBWorkID)10470042 035 $a(PQKB)10792035 035 $a(MiAaPQ)EBC483497 035 $a(DE-B1597)446881 035 $a(OCoLC)979726563 035 $a(DE-B1597)9781400832248 035 $a(Au-PeEL)EBL483497 035 $a(CaPaEBR)ebr10367845 035 $a(CaONFJC)MIL245879 035 $a(EXLCZ)992520000000007016 100 $a20090616d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonnegative and compartmental dynamical systems$b[electronic resource] /$fWassim M. Haddad, VijaySekhar Chellaboina, Qing Hui 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2010 215 $a1 online resource (623 p.) 300 $aDescription based upon print version of record. 311 $a0-691-14411-7 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. Introduction -- $tChapter 2. Stability Theory for Nonnegative Dynamical Systems -- $tChapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- $tChapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- $tChapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- $tChapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- $tChapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- $tChapter 8. Finite-Time Thermodynamics -- $tChapter 9. Modeling and Analysis of Mass-Action Kinetics -- $tChapter 10. Semistability and State Equipartition of Nonnegative Dynamical Systems -- $tChapter 11. Robustness of Nonnegative Dynamical Systems -- $tChapter 12. Modeling and Control for Clinical Pharmacology -- $tChapter 13. Optimal Fixed-Structure Control for Nonnegative Systems -- $tChapter 14. H2 Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities -- $tChapter 15. Adaptive Control for Nonnegative Systems -- $tChapter 16. Adaptive Disturbance Rejection Control for Compartmental Systems -- $tChapter 17. Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models -- $tChapter 18. Identification of Stable Nonnegative and Compartmental Systems -- $tChapter 19. Conclusion -- $tBibliography -- $tIndex 330 $aThis comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems. 606 $aDifferentiable dynamical systems 606 $aGlobal analysis (Mathematics) 615 0$aDifferentiable dynamical systems. 615 0$aGlobal analysis (Mathematics) 676 $a515.39 676 $a515/.39 686 $aSK 520$2rvk 700 $aHaddad$b Wassim M.$f1961-$0447740 701 $aChellaboina$b VijaySekhar$f1970-$0447741 701 $aHui$b Qing$f1976-$01505629 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910780861203321 996 $aNonnegative and compartmental dynamical systems$93735308 997 $aUNINA