04764nam 2200685Ia 450 991013952810332120200520144314.01-282-45879-597866124587981-4008-3224-110.1515/9781400832248(CKB)2520000000007016(EBL)483497(OCoLC)559739934(SSID)ssj0000440229(PQKBManifestationID)11925782(PQKBTitleCode)TC0000440229(PQKBWorkID)10470042(PQKB)10792035(MiAaPQ)EBC483497(DE-B1597)446881(OCoLC)979726563(DE-B1597)9781400832248(Au-PeEL)EBL483497(CaPaEBR)ebr10367845(CaONFJC)MIL245879(EXLCZ)99252000000000701620090616d2010 uy 0engur|n|---|||||txtccrNonnegative and compartmental dynamical systems[electronic resource] /Wassim M. Haddad, VijaySekhar Chellaboina, Qing HuiCourse BookPrinceton Princeton University Pressc20101 online resource (623 p.)Description based upon print version of record.0-691-14411-7 Includes bibliographical references and index. Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Stability Theory for Nonnegative Dynamical Systems -- Chapter 3. Stability Theory for Nonnegative and Compartmental Dynamical Systems with Time Delay -- Chapter 4. Nonoscillation and Monotonicity of Solutions of Nonnegative Dynamical Systems -- Chapter 5. Dissipativity Theory for Nonnegative Dynamical Systems -- Chapter 6. Hybrid Nonnegative and Compartmental Dynamical Systems -- Chapter 7. System Thermodynamics, Irreversibility, and Time Asymmetry -- Chapter 8. Finite-Time Thermodynamics -- Chapter 9. Modeling and Analysis of Mass-Action Kinetics -- Chapter 10. Semistability and State Equipartition of Nonnegative Dynamical Systems -- Chapter 11. Robustness of Nonnegative Dynamical Systems -- Chapter 12. Modeling and Control for Clinical Pharmacology -- Chapter 13. Optimal Fixed-Structure Control for Nonnegative Systems -- Chapter 14. H2 Suboptimal Control for Nonnegative Dynamical Systems Using Linear Matrix Inequalities -- Chapter 15. Adaptive Control for Nonnegative Systems -- Chapter 16. Adaptive Disturbance Rejection Control for Compartmental Systems -- Chapter 17. Limit Cycle Stability Analysis and Control for Respiratory Compartmental Models -- Chapter 18. Identification of Stable Nonnegative and Compartmental Systems -- Chapter 19. Conclusion -- Bibliography -- IndexThis 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.Differentiable dynamical systemsGlobal analysis (Mathematics)Electronic books.Differentiable dynamical systems.Global analysis (Mathematics)515.39515/.39SK 520rvkHaddad Wassim M.1961-447740Chellaboina VijaySekhar1970-447741Hui Qing1976-1048408MiAaPQMiAaPQMiAaPQBOOK9910139528103321Nonnegative and compartmental dynamical systems2476682UNINA02603nam0 22005293i 450 VAN027766720240715124029.614N978303098327720240611d2022 |0itac50 baengCH|||| |||||Interactions with Lattice PolytopesMagdeburg, Germany, September 2017Alexander M. Kasprzyk, Benjamin NillChamSpringer2022x, 364 p.ill.24 cm001VAN01025742001 Springer proceedings in mathematics & statistics210 Berlin [etc.]Springer2012-38613-XXCommutative algebra [MSC 2020]VANC019732MF13F55Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes [MSC 2020]VANC029014MF13F65Commutative rings defined by binomial ideals, toric rings, etc. [MSC 2020]VANC037118MF14-XXAlgebraic geometry [MSC 2020]VANC019702MF14M25Toric varieties, Newton polyhedra, Okounkov bodies [MSC 2020]VANC023922MF52-XXConvex and discrete geometry [MSC 2020]VANC019811MF52B20Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) [MSC 2020]VANC023921MFConvex bodyKW:KDelzantKW:KEhrhard polynomialsKW:KFlag matroidKW:KNewton-Okounkov bodyKW:KOptimizationKW:KSeshadri constantKW:KSymplectic toric manifoldsKW:KToric Fano varietyKW:KToric degenerationKW:KToric varietyKW:KCHChamVANL001889KasprzykAlexander M.VANV230159NillBenjaminVANV230161International Conference on Interactions with Lattice Polytopes2017Magdeburg, GermanyVANV230162Springer <editore>VANV108073650ITSOL20240719RICAhttps://doi.org/10.1007/978-3-030-98327-7E-book – Accesso al full-text attraverso riconoscimento IP di Ateneo, proxy e/o ShibbolethBIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICAIT-CE0120VAN08NVAN0277667BIBLIOTECA DEL DIPARTIMENTO DI MATEMATICA E FISICA08CONS e-Book 8768 08eMF8768 20240618 Interactions with lattice polytopes2998604UNICAMPANIA