LEADER 08287nam 2202005 450 001 9910786749303321 005 20230828210133.0 010 $a1-4008-6524-7 024 7 $a10.1515/9781400865246 035 $a(CKB)3710000000222327 035 $a(EBL)1756206 035 $a(OCoLC)888743990 035 $a(SSID)ssj0001333107 035 $a(PQKBManifestationID)11772514 035 $a(PQKBTitleCode)TC0001333107 035 $a(PQKBWorkID)11396179 035 $a(PQKB)11690835 035 $a(MiAaPQ)EBC1756206 035 $a(DE-B1597)447160 035 $a(OCoLC)1013938706 035 $a(OCoLC)1037920184 035 $a(OCoLC)1041991198 035 $a(OCoLC)1046608341 035 $a(OCoLC)1047021208 035 $a(OCoLC)1049147632 035 $a(OCoLC)1054879250 035 $a(OCoLC)922666260 035 $a(DE-B1597)9781400865246 035 $a(Au-PeEL)EBL1756206 035 $a(CaPaEBR)ebr10910136 035 $a(CaONFJC)MIL637578 035 $a(OCoLC)891400358 035 $a(EXLCZ)993710000000222327 100 $a20140829h20062006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aImpulsive and hybrid dynamical systems $estability, dissipativity, and control /$fWassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov 210 1$aPrinceton, New Jersey ;$aOxfordshire, England :$cPrinceton University Press,$d2006. 210 4$d©2006 215 $a1 online resource (522 p.) 225 1 $aPrinceton Series in Applied Mathematics 300 $aDescription based upon print version of record. 311 0 $a1-322-06327-3 311 0 $a0-691-12715-8 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tContents --$tPreface --$tChapter One. Introduction --$tChapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems --$tChapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems --$tChapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems --$tChapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems --$tChapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems --$tChapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems --$tChapter Nine. Optimal Control for Impulsive Dynamical Systems --$tChapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems --$tChapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems --$tChapter Twelve. Hybrid Dynamical Systems --$tChapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems --$tAppendix A. System Functions for the Clock Escapement Mechanism --$tBibliography --$tIndex 330 $aThis book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems. Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems. 410 0$aPrinceton series in applied mathematics. 606 $aAutomatic control 606 $aControl theory 606 $aDynamics 606 $aDiscrete-time systems 610 $aActuator. 610 $aAdaptive control. 610 $aAlgorithm. 610 $aAmplitude. 610 $aAnalog computer. 610 $aArbitrarily large. 610 $aAsymptote. 610 $aAsymptotic analysis. 610 $aAxiom. 610 $aBalance equation. 610 $aBode plot. 610 $aBoundedness. 610 $aCalculation. 610 $aCenter of mass (relativistic). 610 $aCoefficient of restitution. 610 $aContinuous function. 610 $aControl theory. 610 $aConvex set. 610 $aDifferentiable function. 610 $aDifferential equation. 610 $aDissipation. 610 $aDissipative system. 610 $aDynamical system. 610 $aDynamical systems theory. 610 $aEnergy. 610 $aEquations of motion. 610 $aEquilibrium point. 610 $aEscapement. 610 $aEuler?Lagrange equation. 610 $aExponential stability. 610 $aForms of energy. 610 $aHamiltonian mechanics. 610 $aHamiltonian system. 610 $aHermitian matrix. 610 $aHooke's law. 610 $aHybrid system. 610 $aIdentity matrix. 610 $aInequality (mathematics). 610 $aInfimum and supremum. 610 $aInitial condition. 610 $aInstability. 610 $aInterconnection. 610 $aInvariance theorem. 610 $aIsolated system. 610 $aIterative method. 610 $aJacobian matrix and determinant. 610 $aLagrangian (field theory). 610 $aLagrangian system. 610 $aLagrangian. 610 $aLikelihood-ratio test. 610 $aLimit cycle. 610 $aLimit set. 610 $aLinear function. 610 $aLinearization. 610 $aLipschitz continuity. 610 $aLyapunov function. 610 $aLyapunov stability. 610 $aMass balance. 610 $aMathematical optimization. 610 $aMelting. 610 $aMixture. 610 $aMoment of inertia. 610 $aMomentum. 610 $aMonotonic function. 610 $aNegative feedback. 610 $aNonlinear programming. 610 $aNonlinear system. 610 $aNonnegative matrix. 610 $aOptimal control. 610 $aOrdinary differential equation. 610 $aOrthant. 610 $aParameter. 610 $aPartial differential equation. 610 $aPassive dynamics. 610 $aPoincaré conjecture. 610 $aPotential energy. 610 $aProof mass. 610 $aQuantity. 610 $aRate function. 610 $aRequirement. 610 $aRobust control. 610 $aSecond law of thermodynamics. 610 $aSemi-infinite. 610 $aSmall-gain theorem. 610 $aSpecial case. 610 $aSpectral radius. 610 $aStability theory. 610 $aState space. 610 $aStiffness. 610 $aSupply (economics). 610 $aTelecommunication. 610 $aTheorem. 610 $aTranspose. 610 $aUncertainty. 610 $aUniform boundedness. 610 $aUniqueness. 610 $aVector field. 610 $aVibration. 610 $aZeroth (software). 610 $aZeroth law of thermodynamics. 615 0$aAutomatic control. 615 0$aControl theory. 615 0$aDynamics. 615 0$aDiscrete-time systems. 676 $a003/.85 700 $aHaddad$b Wassim M.$f1961-$0447740 702 $aChellaboina$b VijaySekhar$f1970- 702 $aNersesov$b Sergey G.$f1976- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786749303321 996 $aImpulsive and hybrid dynamical systems$93713882 997 $aUNINA