| ISBN |
9783642613128 |
| 기타 표준번호 |
10.1007/978-3-642-61312-8 |
| 청구기호 |
Q295 |
| 형태사항 |
VIII, 155 p. 1 illus. online resource.
|
| 언어 |
English |
| 내용 |
1. State-Space Descriptions -- 1.1 Introduction -- 1.2 An Example of Input-Output Relations -- 1.3 An Example of State-Space Descriptions -- 1.4 State-Space Models -- Exercises -- 2. State Transition Equations and Matrices -- 2.1 Continuous-Time Linear Systems -- 2.2 Picard?�s Iteration -- 2.3 Discrete-Time Linear Systems -- 2.4 Discretization -- Exercises -- 3. Controllability -- 3.1 Control and Observation Equations -- 3.2 Controllability of Continuous-Time Linear Systems -- 3.3 Complete Controllability of Continuous-Time Linear Systems -- 3.4 Controllability and Complete Controllability of Discrete-Time Linear Systems -- Exercises -- 4. Observability and Dual Systems -- 4.1 Observability of Continuous-Time Linear Systems -- 4.2 Observability of Discrete-Time Linear Systems -- 4.3 Duality of Linear Systems -- 4.4 Dual Time-Varying Discrete-Time Linear Systems -- Exercises -- 5. Time-Invariant Linear Systems -- 5.1 Preliminary Remarks -- 5.2 The Kalman Canonical Decomposition -- 5.3 Transfer Functions -- 5.4 Pole-Zero Cancellation of Transfer Functions -- Exercises -- 6. Stability -- 6.1 Free Systems and Equilibrium Points -- 6.2 State-Stability of Continuous-Time Linear Systems -- 6.3 State-Stability of Discrete-Time Linear Systems -- 6.4 Input-Output Stability of Continuous-Time Linear Systems -- 6.5 Input-Output Stability of Discrete-Time Linear Systems -- Exercises -- 7. Optimal Control Problems and Variational Methods -- 7.1 The Lagrange, Bolza, and Mayer Problems -- 7.2 A Variational Method for Continuous-Time Systems -- 7.3 Two Examples -- 7.4 A Variational Method for Discrete-Time Systems -- Exercises -- 8. Dynamic Programming -- 8.1 The Optimality Principle -- 8.2 Continuous-Time Dynamic Programming -- 8.3 Discrete-Time Dynamic Programming -- 8.4 The Minimum Principle of Pontryagin -- Exercises -- 9. Minimum-Time Optimal Control Problems -- 9.1 Existence of the Optimal Control Function -- 9.2 The Bang-Bang Principle -- 9.3 The Minimum Principle of Pontryagin for Minimum-Time Optimal Control Problems -- 9.4 Normal Systems -- Exercises -- 10. Notes and References -- 10.1 Reachability and Constructibility -- 10.2 Differential Controllability -- 10.3 State Reconstruction and Observers -- 10.4 The Kalman Canonical Decomposition -- 10.5 Minimal Realization -- 10.6 Stability of Nonlinear Systems -- 10.7 Stabilization -- 10.8 Matrix Riccati Equations -- 10.9 Pontryagin?�s Maximum Principle -- 10.10 Optimal Control of Distributed Parameter Systems -- 10.11 Stochastic Optimal Control -- References -- Answers and Hints to Exercises -- Notation.
|
| 주제 |
Mathematics.
Information technology.
Business --Data processing.
Geophysics.
System theory.
Calculus of variations.
Complexity, Computational.
Economic theory.
Mathematics.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Geophysics/Geodesy.
Economic Theory/Quantitative Economics/Mathematical Methods.
IT in Business.
Complexity.
|
| 보유판 및 특별호 저록 |
Springer eBooks
Printed edition: 9783642647871
|
| QR CODE |
|
