LEADER 04531nam 22007575 450 001 9910299973803321 005 20200629200907.0 010 $a3-319-10277-X 024 7 $a10.1007/978-3-319-10277-1 035 $a(CKB)3710000000268449 035 $a(EBL)1967874 035 $a(OCoLC)908088117 035 $a(SSID)ssj0001372597 035 $a(PQKBManifestationID)11829433 035 $a(PQKBTitleCode)TC0001372597 035 $a(PQKBWorkID)11304696 035 $a(PQKB)10236836 035 $a(MiAaPQ)EBC1967874 035 $a(DE-He213)978-3-319-10277-1 035 $a(PPN)182098982 035 $a(EXLCZ)993710000000268449 100 $a20141027d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDynamics and Control of Trajectory Tubes $eTheory and Computation /$fby Alexander B. Kurzhanski, Pravin Varaiya 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (457 p.) 225 1 $aSystems & Control: Foundations & Applications,$x2324-9749 ;$v85 300 $aDescription based upon print version of record. 311 $a3-319-10276-1 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Linear Control Systems -- 2. The Dynamic Programming Approach -- 3. Ellipsoidal Techniques: Reachability and Control Synthesis -- 4. Solution Examples on Ellipsoidal Methods: Computation in High Dimensions -- 5. The Comparison Principle: Nonlinearity and Nonconvexity -- 6. Impulse Control and Double Constraints -- 7. Dynamics and Control under State Constraints -- 8. Trajectory Tubes: State-Constrained Feedback Control -- 9. Guaranteed State Estimation -- 10. Uncertain Systems: Output Feedback Control -- 11. Verification: Hybrid Systems. 330 $aThis monograph presents theoretical methods involving the Hamilton?Jacobi?Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control  synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Dynamics and Control of Trajectory Tubes: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations. 410 0$aSystems & Control: Foundations & Applications,$x2324-9749 ;$v85 606 $aCalculus of variations 606 $aControl engineering 606 $aConvex geometry  606 $aDiscrete geometry 606 $aK-theory 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086 615 0$aCalculus of variations. 615 0$aControl engineering. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aK-theory. 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aControl and Systems Theory. 615 24$aConvex and Discrete Geometry. 615 24$aK-Theory. 676 $a671.832 700 $aKurzhanski$b Alexander B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721236 702 $aVaraiya$b Pravin$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299973803321 996 $aDynamics and Control of Trajectory Tubes$92536883 997 $aUNINA