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非线性控制系统的分析与设计(英文版)
  • 书号:9787030259646
    作者:程代展
  • 外文书名:Analysis and Design of Nonlinear Control Systems
  • 装帧:平装
    开本:B5
  • 页数:560
    字数:650000
    语种:英文
  • 出版社:科学出版社
    出版时间:2010-03
  • 所属分类:TP8 远动技术
  • 定价: ¥110.00元
    售价: ¥86.90元
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Analysis and Design of Nonlinear Control Systems provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book.
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目录

  • 1.Introduction
    1.1 Linear Control Systems
    1.1.1 Controllability, Observability
    1.1.2 Invariant Subspaces
    1.1.3 Zeros, Poles, Observers
    1.1.4 Normal Form and Zero Dynamics
    1.2 Nonlinearity vs.Linearity
    1.2.1 Localization
    1.2.2 Singularity
    1.2.3 Complex Behaviors
    1.3 Some Examples of Nonlinear Control Systems
    References
    2.Topological Space
    2.1 Metric Space
    2.2 Topological Spaces
    2.3 Continuous Mapping
    2.4 Quotient Spaces
    References
    3.DifferentiableManifold
    3.1 Structure of Manifolds
    3.2 Fiber Bundle
    3.3 Vector Field
    3.4 One Parameter Group
    3.5 Lie Algebra of Vector Fields
    3.6 Co-tangent Space
    3.7 Lie Derivatives
    3.8 Frobenius' Theory
    3.9 Lie Series, Chow's Theorem
    3.10 Tensor Field
    3.11 Riemannian Geometry
    3.12 Symplectic Geometry
    References
    4.Algebra, Lie Group and Lie Algebra
    4.1 Group
    4.2 Ring and Algebra
    4.3 Homotopy
    4.4 Fundamental Group
    4.5 Covering Space
    4.6 Lie Group
    4.7 Lie Algebra of Lie Group
    4.8 Structure of Lie Algebra
    References
    5.Controllability and Observability
    5.1 Controllability of Nonlinear Systems
    5.2 Observability of Nonlinear Systems
    5.3 Kalman Decomposition
    References
    6.Global Controllability of Affine Control Systems
    6.1 From Linear to Nonlinear Systems
    6.2 A Sufficient Condition
    6.3 Multi-hierarchy Case
    6.4 Codim(G)=1
    References
    7.Stability and Stabilization
    7.1 Stability of Dynamic Systems
    7.2 Stability in the Linear Approximation
    7.3 The Direct Method of Lyapunov
    7.3.1 Positive Definite Functions
    7.3.2 Critical Stability
    7.3.3 Instability
    7.3.4 Asymptotic Stability
    7.3.5 Total Stability
    7.3.6 Global Stability
    7.4 LaSalle's Invariance Principle
    7.5 Converse Theorems to Lyapunov's Stability Theorems
    7.5.1 Converse Theorems to Local Asymptotic Stability
    7.5.2 Converse Theorem to Global Asymptotic Stability
    7.6 Stability of Invariant Set
    7.7 Input-Output Stability
    7.7.1 Stability of Input-Output Mapping
    7.7.2 The Lur'e Problem
    7.7.3 Control Lyapunov Function
    7.8 Region of Attraction
    References
    8.Decoupling
    8.1 (f,g)-invariant Distribution
    8.2 Local Disturbance Decoupling
    8.3 Controlled Invariant Distribution
    8.4 Block Decomposition
    8.5 Feedback Decomposition
    References
    9.Input-Output Structure
    9.1 DecouplingMatrix
    9.2 Morgan's Problem
    9.3 Invertibility
    9.4 Decoupling via Dynamic Feedback
    9.5 Normal Form of Nonlinear Control Systems
    9.6 Generalized Normal Form
    9.7 Fliess Functional Expansion
    9.8 Tracking via Fliess Functional Expansion
    References
    10.Linearization of Nonlinear Systems
    10.1 Poincaré Linearization
    10.2 Linear Equivalence of Nonlinear Systems
    10.3 State Feedback Linearization
    10.4 Linearization with Outputs
    10.5 Global Linearization
    10.6 Non-regular Feedback Linearization
    References
    11.Design of Center Manifold
    11.1 Center Manifold
    11.2 Stabilization of Minimum Phase Systems
    11.3 Lyapunov Function with Homogeneous Derivative
    11.4 Stabilization of Systems with Zero Center
    11.5 Stabilization of Systems with Oscillatory Center
    11.6 Stabilization Using Generalized Normal Form
    11.7 Advanced Design Techniques
    References
    12.Output Regulation
    12.1 Output Regulation of Linear Systems
    12.2 Nonlinear Local Output Regulation
    12.3 Robust Local Output Regulation
    References
    13.Dissipative Systems
    13.1 Dissipative Systems
    13.2 Passivity Conditions
    13.3 Passivity-based Control
    13.4 Lagrange Systems
    13.5 Hamiltonian Systems
    References
    14.L2-Gain Synthesis
    14.1 H Norm and L2-Gain
    14.2 H Feedback Control Problem
    14.3 L2-Gain Feedback Synthesis
    14.4 Constructive Design Method
    14.5 Applications
    References
    15.Switched Systems
    15.1 Common Quadratic Lyapunov Function
    15.2 Quadratic Stabilization of Planar Switched Systems
    15.3 Controllability of Switched Linear Systems
    15.4 Controllability of Switched Bilinear Systems
    15.5 LaSalle's Invariance Principle for Switched Systems
    15.6 Consensus of Multi-Agent Systems
    15.6.1 Two Dimensional Agent Model with a Leader
    15.6.2 n Dimensional Agent Model without Lead
    References
    16.Discontinuous Dynamical Systems
    16.1 Introduction
    16.2 Filippov Framework
    16.2.1 Filippov Solution
    16.2.2 Lyapunov Stability Criteria
    16.3 Feedback Stabilization
    16.3.1 Feedback Controller Design: Nominal Case
    16.3.2 Robust Stabilization
    16.4 Design Example of Mechanical Systems
    16.4.1 PD Controlled Mechanical Systems
    16.4.2 Stationary Set
    16.4.3 Application Example
    References
    Appendix A Some Useful Theorems
    A.1 Sard's Theorem
    A.2 Rank Theorem
    References
    Appendix B Semi-Tensor Product of Matrices
    B.1 A Generalized Matrix Product
    B.2 Swap Matrix
    B.3 Some Properties of Semi-Tensor Product
    B.4 Matrix Form of Polynomials
    References
    Index
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