03660nam 2200661 450 991013149300332120200520144314.01-119-11773-91-119-11784-41-119-11772-0(CKB)3710000000451363(EBL)1964130(SSID)ssj0001517902(PQKBManifestationID)12591058(PQKBTitleCode)TC0001517902(PQKBWorkID)11506417(PQKB)11548772(MiAaPQ)EBC4043045(MiAaPQ)EBC1964130(Au-PeEL)EBL4043045(CaPaEBR)ebr11115210(CaONFJC)MIL816304(OCoLC)910802665(PPN)19220503X(EXLCZ)99371000000045136320151109h20152015 uy 0engur|n|---|||||txtccrSystems with delays analysis, control, and computations /A. V. Kim and A. V. IvanovHoboken, New Jersey ;Salem, Massachusetts :Scrivener Publishing :Wiley,2015.©20151 online resource (180 p.)Description based upon print version of record.1-119-11758-5 Includes bibliographical references and index.2.2 Lyapunov-Krasovskii functionals2.2.1 Structure of Lyapunov-Krasovskii quadratic functionals; 2.2.2 Elementary functionals and their properties; 2.2.3 Total derivative of functionals with respect to systems with delays; 2.3 Positiveness of functionals; 2.3.1 Definitions; 2.3.2 Sufficient conditions of positiveness; 2.3.3 Positiveness of functionals; 2.4 Stability via Lyapunov-Krasovskii functionals; 2.4.1 Stability conditions in the norm || · || H; 2.4.2 Stability conditions in the norm || · ||; 2.4.3 Converse theorem; 2.4.4 Examples; 2.5 Coefficient conditions of stability2.5.1 Linear system with discrete delay2.5.2 Linear system with distributed delays; 3 Linear quadratic control; 3.1 Introduction; 3.2 Statement of the problem; 3.3 Explicit solutions of generalized Riccati equations; 3.3.1 Variant 1; 3.3.2 Variant 2; 3.3.3 Variant 3; 3.4 Solution of Exponential Matrix Equation; 3.4.1 Stationary solution method; 3.4.2 Gradient methods; 3.5 Design procedure; 3.5.1 Variants 1 and 2; 3.5.2 Variant 3; 3.6 Design case studies; 3.6.1 Example 1; 3.6.2 Example 2; 3.6.3 Example 3; 3.6.4 Example 4; 3.6.5 Example 5: Wind tunnel model3.6.6 Example 6: Combustion stability in liquid propellant rocket motors4 Numerical methods; 4.1 Introduction; 4.2 Elementary one-step methods; 4.2.1 Euler'smethod; 4.2.2 Implicit methods (extrapolation); 4.2.3 Improved Euler'smethod; 4.2.4 Runge-Kutta-like methods; 4.3 Interpolation and extrapolation of the model pre-history; 4.3.1 Interpolational operators; 4.3.2 Extrapolational operators; 4.3.3 Interpolation-Extrapolation operator; 4.4 Explicit Runge-Kutta-like methods; 4.5 Approximation orders of ERK-like methods; 4.6 Automatic step size control; 4.6.1 Richardson extrapolation4.6.2 Automatic step size controlDelay differential equationsLinear systemsDerivatives (Mathematics)Delay differential equations.Linear systems.Derivatives (Mathematics)515/.35Kim A. V.890977Ivanov A. V.MiAaPQMiAaPQMiAaPQBOOK9910131493003321Systems with delays2026777UNINA