The Behavioural Approach to Systems and Control

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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

Sequential Continuous Time Adaptive Control: A Behavioral Approach

Authors:

Jan Willem Polderman,

Volume: 1, Page 2484 Paper number 3501

Abstract:

We want to design a compensator for a behavior through an appropriate behavioral interconnection. The problem is that the behavior that we want to control is not known. All that is given is a desired interconnected behavior and the prior information that this desired behavior can indeed be achieved by means of regular interconnection. This problem calls for an adaptive flavored strategy. The strategy that we propose is as follows. Measurements are taken during successive time intervals of unit length. Each time a measurement is taken the Most Powerful Unfalsified Model of that measurement and the desired behavior is determined. Since this model contains the desired behavior it is possible to find additional constraints such that the desired behavior is achieved. Moreover these additional constraints can be chosen such that the corresponding interconnection is regular relative to the true unknown behavior. This regularity property makes it possible to invoke the additional constraints in the next time interval by incorporating a transient period. The new measurement therefore satisfies these additional constraints. The procedure is repeated for the new measurement and so on. The main result is that within a finite, though unknown, number of measurements the new measurements are constrained to the desired behavior.

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Behavioral Interpolation For Coding And Control

Authors:

Margreta Kuijper,

Volume: 1, Page 2488 Paper number 3502

Abstract:

It is well known that classical decoding of Reed-Solomon error-correcting block codes is equivalent to system-theoretic minimal partial realization. In the first part of the paper we show how this type of decoding can also be formulated as minimal polynomial interpolation. We compare this type of interpolation with system-theoretic interpolation techniques that are used for control applications. We then present a procedure that achieves minimal polynomial interpolation by iteratively constructing a row reduced representation of an interpolating behavior. Motivated by the need for improved decoding techniques, in particular soft-decision decoding, we turn to ``list decoding'' in the second part of the paper. Here the aim is to construct a list of all codewords that are within a pre-specified Hamming distance from the received word. A connection is made with recent work in the coding-theoretic literature that performs list decoding by using bivariate interpolating polynomials. We point out that this new development opens up yet another connection between coding theory and system theory, namely the connection between list decoding and minimal multivariable interpolation.

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On The Relationship Between Two-Dimensional Behaviors Decompositions And The Factor Skew-Primeness Property

Authors:

Mauro Bisiacco, Maria Elena Valcher,

Volume: 1, Page 2494 Paper number 3503

Abstract:

In the last decade, the behavioral approach to dynamic systems has been fruitfully applied to the multidimensional, in particular two-dimensional (2D), context. Within the behavioral setting, several classic results that hold true for 2D state space models have found a natural generalization, among them, the autonomous/controllable decomposition, that holds true for every (linear shift-invariant) complete 2D behavior. This decomposition constitutes the straightforward, even though nontrivial, extension of the well-known "free evolution"/"forced evolution" decomposition, that holds true for every trajectory of a (linear and shift-invariant) 2D state space model. The relevance of this decomposition, which has been intensively investigated also in the context of 1D behaviors, is immediately apparent. However, while in the 1D case it is always possible to express a behavior B as a direct sum of its (uniquely determined) controllable part and of some autonomous behavior, in the two-dimensional case this is not always feasible. Nevertheless, it is always possible to obtain a decomposition in which the autonomous part has a finite-dimensional intersection with the controllable one. The aim of this paper is that of extending these results, and, in particular, those presented in a recent paper and concerned with the direct sum decomposition, to a more general setting. In fact, given a 2D complete behavior B and one of its sub-behaviors B1 we aim to investigate under what conditions a further complete behavior B2 can be found, such that B is the direct sum of B1 and B2, and the intersection of B1 and B2 is finite-dimensional autonomous. This constitutes a complete generalization of the decomposition theorem, as it represents a decomposition with "minimal intersection", in which one of the two terms is a priori fixed. Significantly enough, the possibility of obtaining such a decomposition is related to the algebraic properties of certain matrix pairs, involved in the kernel description of B and B1.

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Dissipative Distributed Systems

Authors:

Harish K. Pillai, Jan C. Willems,

Volume: 1, Page 2500 Paper number 3504

Abstract:

This paper deals with systems described by constant coefficient linear partial differential equations. We define dissipativity with respect to a quadratic differential form, i.e., a quadratic functional in the system variables and their partial derivatives. The main result states the equivalence of dissipativity and the existence of a storage function or of a dissipation rate.

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A Two-Variable Approach To Solve The Polynomial Lyapunov Equation

Authors:

Ralf Peeters, Paolo Rapisarda,

Volume: 1, Page 2504 Paper number 3505

Abstract:

A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is put forward. Such approach yields an iterative solution method based on the method of Faddeev for the computation of matrix resolvents. The resulting algorithm is especially suitable for applications requiring symbolic or exact computation.

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All Unmixed Solutions of the Algebraic Riccati Equation Using Pick Matrices

Authors:

Harry L. Trentelman, Paolo Rapisarda,

Volume: 1, Page 2510 Paper number 3506

Abstract:

In this short paper we study the existence of positive and negative semidefinite solutions of the algebraic Riccati equation corresponding to linear quadratic problems with an indefinite cost functional. An important role is played by certain two-variable polynomial matrices associated with the algebraic Riccati equation. We characterize all unmixed solutions in terms of the Pick matrices associated with these two-variable polynomial matrices. As a corollary it turns out that the signatures of the extremal solutions are determined by the signatures of particular Pick matrices.

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