CDC2000 Lagrangian and Hamiltonian Theory

Lagrangian and Hamiltonian Theory
Home Full List of Titles 1: Proceedings of CDC2000 Discrete Event Systems Control in Communication Systems Optimal Control and Applications I Optimisation Approaches and Methods Model Predictive Control Advances in Linear Estimation Stochastic and Uncertain Systems Nonlinear Control and Applications Nonlinear Estimation and Filtering Formation Control and its Applications New Approaches to Fuzzy Control Manufacturing Systems Automotive Applications Stability Issues in Hybrid Control Recent Advances in Stochastic Networks Optimal Control and Applications II Robust Controller Design - mu, L1 and H2 Constrained and Receding Horizon Control Identification and Control around the World Markov Decision Processes Nonlinear Optimisation Observers for Nonlinear Systems Motion Planning Neural / Fuzzy Stability and Control Motor Control Control of Quantum Phenomena I Hybrid Systems Methods Control in Communication Networks Robustness and Optimisation Bumpless Transfer, Antiwindup and Saturation Adaptive Control: Linear Systems Estimation and Closed Loop Identification Control of Markov Processes Nonlinear Filtering and Control Modelling, Identification and Validation of Nonlinear Systems Differential Geometric Control Theory for Mechanical Systems Nonlinear Output Feedback Control Pneumatics and Compression Systems Control of Quantum Phenomena II Stability of Hybrid Systems Performance Analysis in Communication Networks Adaptive Control of Nonlinear Systems LMI Methods in Design Robust Control of Time Delay Systems Subspace Identification Methods Nonlinear Stochastic Filtering and Estimation Bifurcations, Chaos and Control I New Progress in Synthesis of Nonlinear Systems I Implementation Issues of Sliding Mode Control Theory Control of Mixing in Shear Flows Novel Neural Network Control Techniques for Industrial Motion Control Systems Physiological Control Systems Optimal Control of Hybrid Systems Stochastic Models for Communication Networks Control and Stabilisation of Nonlinear Systems New Directions in Robust Control Linear Systems Theory Advanced Topics in Systems Theory Estimation in Action Bifurcations, Chaos and Control II New Progress in Synthesis of Nonlinear Systems II Numerical Design and Analysis Techniques for Nonlinear Systems Analysis and Control of Underactuated Systems Sliding Mode Control I Challenges in the Application of Control to Computer Systems Estimation and Diagnosis of Discrete Event Systems Communications and Games Optimal Control Stochastic Systems Model Reduction Methodologies Identification and Subspace Methods Applications of Nonlinear Adaptive Control Advances in Nonlinear Output Feedback Design The Behavioural Approach to Systems and Control Vision Based Estimation and Control: Recent Advances and Open Problems Agile Control of Military Operations Sliding Mode Control II Model-based Fault Diagnosis of Industrial Processes Discrete Event Systems / Petri Nets System Identification and Confidence Estimation New Approaches to H-Infinity Control I Probabilistic Approaches to Robust Control Time Delay System Stabilisation Identification Methods Controlled Stochastic Processes Output Feedback of Nonlinear Systems Topics in Nonlinear Stabilisation Mobile Robots: Tracking Control Robust Control of Nonlinear Systems Power Systems Stabilisation and Control Disk Drive Control Hybrid Control Applications Discrete Time Systems New Approaches to H-Infinity Control II Linear Systems with Saturating Actuators New Theories in Distributed Parameter Systems Applications of Estimation and Identification Stochastic Control and Tuning Methodologies Control of Nonlinear Systems Iterative Learning and Control Coordinating Robot Systems Nonlinear Time Varying Systems Novel Applications of Neural Networks Aerospace Applications Switched Systems Implicit and Descriptor Systems LQG Periodic Systems and Disturbances New Horizons for Distributed Parameter Systems State Estimation Learning and Neuro-Control Nonlinear Control and Stabilisation I Tracking Vision Servoing Controllability of Nonlinear Systems Control of Flexible Systems Electro-Mechanical Systems Robust Control Methods and Applications Fault Detection and Diagnosis Optimisation and Applications Robust Stability Analysis Numerical Methods in Control Filtering in Continuous Time Stochastic Systems Interplay between Control and Signal Processing Fault Detection and Analysis Nonlinear Dynamical Systems Nonlinear Time Delay Systems Computational Issues in Nonlinear Control Disturbance Rejection Process Control Industry Applications Linear Parameter Varying Systems Linear Control Systems Dynamic and Nonlinear Programming Model Reduction Applications New Techniques for Control and Systems: Numerical Linear Algebra Estimation and Identification using Hidden Markov Models Applications of Stochastic Control Topics in Linear Design Nonlinear Control and Stabilisation II Ambulatory Robot Systems Chaotic and Oscillatory Systems Biomedical System Control Integrated Control and CPU Scheduling Linear Design Techniques Adaptive Disturbance / Noise Compensation Nonlinear Model Predictive Control Sensitivity Design, Analysis and Limitations Analysis of Linear Systems Linear Matrix Inequalities in Design Lyapunov's 2nd Method Robotics: Tracking Control Lagrangian and Hamiltonian Theory Variable Structure Control Machine Vision Signal Processing Methods in Control Applied Nonlinear Control Author Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z	Hamiltonian Extensions, Hilbert Adjoints and Singular Value Functions for Nonlinear Systems Authors: Jacquelien M.A. Scherpen, Kenji Fujimoto, W. Steven Gray, Volume: 1, Page 5102 Paper number 1287 Abstract: This paper studies previously developed nonlinear Hilbert adjoint operator theory from a variational point of view and provides a formal justification for the use of Hamiltonian extensions via Gateaux differentials. The primary motivation is its use in characterizing singular values of nonlinear operators, and in particular, the Hankel operator and its relationship to the state space notion of nonlinear balanced realizations. CD001287.PDF (From Author) TOP Geometric Scattering in Telemanipulation of Generalised Port Controlled Hamiltonian Systems Authors: S. Stramigioli, A.V.D. Schaft, B. Maschke, S. Andreotti, C. Melchiorri, Volume: 1, Page 5108 Paper number 1258 Abstract: In this paper we study the interconnection of two port controlled Hamiltonian systems through a transmission line with delay. The contributions of the paper are firstly a geometrical, multi-dimensional, power consistent exposition of tele-manipulation of Intrinsically Passive Controlled (IPC) physical systems (Stramigioli 1998), with a clarification on impedance matching, and secondly a system theoretic condition for the adaptation of a general port controlled Hamiltonian system with dissipation (PCHD system) to a transmission line. To the knowledge of the authors, the latter result in particular has never appeared in such a general form. Experimental results on an Internet implementation are also presented. CD001258.PDF (From Author) TOP Uniqueness of Solutions for Control Systems with Degenerate Lagrangians Authors: Karel Volckaert, Dirk Aeyels, Volume: 1, Page 5114 Paper number 1270 Abstract: We outline a method for dealing with controlled mechanical systems with degenerate Lagrangians, or singular optimal control problems with degenerate cost functions. We show how consistent equations of motion can be obtained despite the -- implicit -- constraint of degeneracy, and state conditions on which the system exhibits unique solutions (on a reduced phase space). This method is adopted from results in classical mechanics, viz. the Gotay-Nester-Hinds algorithm for the resolution of constraints in presymplectic systems. We illustrate with an example from singular linear optimal control theory. CD001270.PDF (From Author) TOP The Category Of Affine Connection Control Systems Authors: Andrew D. Lewis, Volume: 1, Page 5119 Paper number 1645 Abstract: The category of affine connection control systems is one whose objects are control systems whose drift vector field is the geodesic spray of an affine connection, and whose control vector fields are vertical lifts to the tangent bundle of vector fields on configuration space. We initiate an investigation of morphisms (feedback transformations) in this category, including the study of subsystems and factor systems. CD001645.PDF (From Author) TOP On the Development of Generalized Hamiltonian Realizations Authors: Daizhan Cheng, Sarah K. Spurgeon, Jianping Xiang, Volume: 1, Page 5125 Paper number 8019 Abstract: The generalized Hamiltonian realization problem is discussed in this paper. Three kinds of realizations are investigated. The first is the generalized Hamiltonian realization of a dynamic system. As an example, the excitation control system [4] is investigated. The feedback dissipative realization of controlled Hamiltonian systems is then considered. A necessary and sufficient condition for existence of this realization is obtained. Finally, the approximate realization is considered. A normal form result is implemented to provide certain computable conditions. CD008019.PDF (From Author) TOP