Nonlinear Dynamical Systems

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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

Averaging With Respect To Arbitrary Closed Sets: Closeness Of Solutions For Systems With Disturbances

Authors:

Andrew R. Teel, Dragan Nesić, Luc Moreau,

Volume: 1, Page 4361 Paper number 1177

Abstract:

We consider two different definitions of "average" for systems with disturbances: the "strong" and "weak" averages that were recently introduced in the literature. We generalize the existing definitions as we use the distance to an arbitrary closed set (cal) A instead of the Euclidean norm for states in the definitions of averages. This generalization allows us to deal with more general cases of averaging for systems with disturbances, such as partial averaging. Under appropriate conditions, the solutions of a time-varying system with disturbances are shown to converge uniformly on compact time intervals to the solutions of the system's average as the rate of change of time increases to infinity.

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An Advanced Algorithm Based On Differential Algebra For Disturbance Decoupling Of Nonlinear Systems

Authors:

Markus Bröcker, Jan Polzer, Markus Lemmen,

Volume: 1, Page 4367 Paper number 1117

Abstract:

The behaviour of nonlinear systems can be affected by undesired inputs -- the disturbances. To decrease or to decouple the influence of those disturbances this paper deals with an advanced algorithm which solves the disturbance decoupling problem. Based on the mathematical foundations of differential algebra, the algorithm determines if a system is decouplable or not and which disturbance decoupling controller can be applied. The algorithm is restricted to rational systems. To handle analytical systems as well, a system transformation is introduced in order to receive a rational substitute system. The disturbance decoupling problem can then be solved for this substitute system.

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From Lipschitzian to Non-Lipschitzian Characteristics: Continuity of Behaviors

Authors:

M.K. Çamlibel, M.K.K. Cevik, W.P.M.H. Heemels, J.M. Schumacher,

Volume: 1, Page 4373 Paper number 1836

Abstract:

Linear complementarity systems are used to model discontinuous dynamical systems such as networks with ideal diodes and mechanical systems with unilateral constraints. In these systems mode changes are modeled by a relation between nonnegative, complementarity variables. We consider approximating systems obtained by replacing this non-Lipschitzian relation with a Lipschitzian function and investigate the convergence of the solutions of the approximating system to those of the ideal system as the Lipschitzian characteristic approaches to the (non-Lipschitzian) complementarity relation. It is shown that this kind of convergence holds for linear passive complementarity systems for which solutions are known to exist and to be unique. Moreover, this result is extended to systems that can be made passive by pole shifting.

CD001836.PDF (From Author)

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Consistent Hierarchies Of Nonlinear Abstractions

Authors:

George J. Pappas, Slobodan N. Simić,

Volume: 1, Page 4379 Paper number 1733

Abstract:

In this paper, we consider the problem of constructing hierarchies of nonlinear control systems that preserve reachability properties, and, in particular, local accessibility. In this hierarchical framework, showing local accessibility of the higher level abstracted model of the nonlinear control system is equivalent to showing local accessibility of the, more detailed, lower level model. Hierarchies of consistent nonlinear abstractions can therefore result in significant complexity reduction in determining the reachability properties of nonlinear systems.

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Fliess Operators On L_P Spaces: Convergence And Continuity

Authors:

W. Steven Gray, Yuan Wang,

Volume: 1, Page 4385 Paper number 1278

Abstract:

Fliess operators as input-output mappings are particularly useful in a number of fundamental problems concerning nonlinear realization theory. In the classical analysis of these operators, certain growth conditions on the coefficients in their series representations insure uniform and absolute convergence, provided each admissible input is uniformly bounded by some fixed upperbound. In some emerging applications of this theory, however, it is more natural to consider other classes of inputs. In this paper, L_p function spaces are considered. In particular, growth conditions are developed which provide sufficient conditions for convergence and continuity, and insure that any realization of the operator yields a well defined state space model on the input space.

CD001278.PDF (From Author)

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Study of Lasers as Nonlinear Dynamical Systems

Authors:

Shahram M. Shahruz,

Volume: 1, Page 4391 Paper number 8017

Abstract:

The rate equations of a large class of lasers are considered. These equations represent the evolution of photon and carrier densities in the laser, where the laser output is proportional to the photon density. By applying techniques from the theory of dynamical systems to the rate equations, four important properties of the lasers are rigorously proved. These properties are: (P1) for nonnegative and bounded inputs, the laser outputs are bounded; (P2) for a positive constant input, the laser output settles at a positive steady-state value; (P3) for positive constant inputs, the laser does not exhibit a limit cycle behavior; (P4) for positive constant inputs, the relaxation oscillations in the laser output can be attenuated if the coefficient of the spontaneous emission is increased.

CD008017.PDF (Scanned)

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A Nonlinear Phylosophy for Nonlinear Systems

Authors:

Alexander Fradkov,

Volume: 1, Page 4397 Paper number 2043

Abstract:

A framework for system analysis and design is described based on nonlinear system models and nonperiodic signals generated by nonlinear systems. The proposed approach to analysis of nonlinear systems is based on excitability index - a nonlinear counterpart of magnitude frequency response of linear system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur'e systems. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.

CD002043.PDF (From Author)

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