Nonlinear H [infinity]-control, Hamiltonian systems and Hamilton-Jacobi equations. (2011)

• Record Type: Book
• Other Titles: Nonlinear H-control, Hamiltonian systems and Hamilton-Jacobi equations
• Further Information: Note: M.D.S Aliyu.
• Other Names: Aliyu, M. D. S
• Contents: Introduction; Historical Perspective on Nonlinear H∞ -Control; General Set-Up for Nonlinear H∞ -Control Problems; Notations and Preliminaries; ; Basics of Differential Games; Dynamic Programming Principle; Discrete-Time Nonzero-Sum Dynamic Games; Continuous-Time Nonzero-Sum Dynamic Games; ; Theory of Dissipative Systems; Dissipativity of Continuous-Time Nonlinear Systems; l 2-Gain Analysis for Continuous-Time Dissipative Systems; Continuous-Time Passive Systems; Feedback-Equivalence to a Passive Continuous-Time Nonlinear System; Dissipativity and Passive Properties of Discrete-Time Nonlinear Systems; l 2-Gain Analysis for Discrete-Time Dissipative Systems; Feedback-Equivalence to a Discrete-Time Lossless Nonlinear System; ; Hamiltonian Mechanics and Hamilton-Jacobi Theory; The Hamiltonian Formulation of Mechanics; Canonical Transformation; The Theory of Nonlinear Lattices; The Method of Characteristics for First-Order Partial-Differential Equations; Legendre Transform and Hopf-Lax Formula; ; State-Feedback Nonlinear H∞ -Control for Continuous-Time Systems; State-Feedback H∞ -Control for Affine Nonlinear Systems; State-Feedback Nonlinear H∞ Tracking Control; Robust Nonlinear H∞ State-Feedback Control; State-Feedback H∞ -Control for Time-Varying Affine Nonlinear Systems; State-Feedback H∞ -Control for State-Delayed Affine Nonlinear Systems; State-Feedback H∞ -Control for a General Class of Nonlinear Systems; Nonlinear H∞ Almost-Disturbance-Decoupling; ; Output-Feedback Nonlinear H∞ -Control for Continuous-Time Systems; Output Measurement-Feedback H∞ -Control for Affine Nonlinear Systems; Output Measurement-Feedback Nonlinear H∞ Tracking Control; Robust Output Measurement-Feedback Nonlinear H∞ -Control; Output Measurement-Feedback H∞ -Control for a General Class of Nonlinear Systems; Static Output-Feedback Control for Affine Nonlinear Systems; ; Discrete-Time Nonlinear H∞ -Control; Full-Information H∞ -Control for Affine Nonlinear Discrete-Time Systems; Output Measurement-Feedback Nonlinear H∞ -Control for Affine Discrete-Time Systems; Extensions to a General Class of Discrete-Time Nonlinear Systems; Approximate Approach to the Discrete-Time Nonlinear H∞ -Control Problem; ; Nonlinear H∞ -Filtering; Continuous-Time Nonlinear H∞ -Filtering; Continuous-Time Robust Nonlinear H∞ -Filtering; Certainty-Equivalent Filters (CEFs); Discrete-Time Nonlinear H∞ -Filtering; Discrete-Time Certainty-Equivalent Filters (CEFs); Robust Discrete-Time Nonlinear H∞ -Filtering; ; Singular Nonlinear H∞ -Control and H∞ -Control for Singularly-Perturbed Nonlinear Systems; Singular Nonlinear H∞ -Control with State-Feedback; Output Measurement-Feedback Singular Nonlinear H∞ -Control; Singular Nonlinear H∞ -Control with Static Output-Feedback; Singular Nonlinear H∞ -Control for Cascaded Nonlinear Systems; H∞ -Control for Singularly-Perturbed Nonlinear Systems; ; H∞ -Filtering for Singularly-Perturbed Nonlinear Systems; Problem Definition and Preliminaries; Decomposition Filters; Aggregate Filters; Examples; ; Mixed H 2 /H∞ Nonlinear Control; Continuous-Time Mixed H 2 /H∞ Nonlinear Control; Discrete-Time Mixed H 2 /H∞ Nonlinear Control; Extension to a General Class of Discrete-Time Nonlinear Systems; ; Mixed H 2 /H∞ Nonlinear Filtering; Continuous-Time Mixed H 2 /H∞ Nonlinear Filtering; Discrete-Time Mixed H 2 /H∞ Nonlinear Filtering; Example; ; Solving the Hamilton-Jacobi Equation; Review of Some Approaches for Solving the HJBE/HJIE; Solving the Hamilton-Jacobi Equation for Mechanical Systems and Application to the Toda Lattice;
• Publisher Details: Boca Raton : Taylor & Francis
• Publication Date: 2011
• Extent: 1 online resource (xvi, 384 pages), illustrations
• Subjects: 629.8/36; Hamiltonian systems; TECHNOLOGY & ENGINEERING -- Automation; TECHNOLOGY & ENGINEERING -- Robotics; Hamiltonian systems; Electronic books
• Languages: English
• ISBNs: 9781439854853; 1439854858; 1439854831; 9781439854839
• Related ISBNs: 9781439854839
• Notes: Note: Includes bibliographical references.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.