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010   $a9783319465746
024 7 $a10.1007/978-3-319-46574-6
035   $a(CKB)3710000000984038
035   $a(DE-He213)978-3-319-46574-6
035   $a(MiAaPQ)EBC4772436
035   $a(PPN)19745612X
035   $a(EXLCZ)993710000000984038
100   $a20161220d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aOptimal Trajectory Tracking of Nonlinear Dynamical Systems /$fby Jakob Löber
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017.
215   $a1 online resource (XIV, 243 p. 36 illus., 32 illus. in color.) 
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
311   $a3-319-46573-2 
311   $a3-319-46574-0 
327   $aIntroduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Di?usion System.
330   $aBy establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aStatistical physics
606   $aCalculus of variations
606   $aVibration
606   $aDynamics
606   $aDynamics
606   $aErgodic theory
606   $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aStatistical physics.
615  0$aCalculus of variations.
615  0$aVibration.
615  0$aDynamics.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aApplications of Nonlinear Dynamics and Chaos Theory.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aVibration, Dynamical Systems, Control.
615 24$aDynamical Systems and Ergodic Theory.
676   $a531.11
700   $aLöber$b Jakob$4aut$4http://id.loc.gov/vocabulary/relators/aut$0823585
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910156338503321
996   $aOptimal Trajectory Tracking of Nonlinear Dynamical Systems$91832674
997   $aUNINA