Stochastic 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
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Nonlinear Estimation and Filtering
Formation Control and its Applications
New Approaches to Fuzzy Control
Manufacturing Systems
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Stability Issues in Hybrid Control
Recent Advances in Stochastic Networks
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Robust Controller Design - mu, L1 and H2
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Identification and Control around the World
Markov Decision Processes
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Control of Quantum Phenomena I
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Adaptive Control: Linear Systems
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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
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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

Stability Preserving Mappings For Stochastic Dynamical Systems

Authors:

Ling Hou, Anthony N. Michel,

Volume: 1, Page 2335 Paper number 1143

Abstract:

In the present paper we first formulate a general model for stochastic dynamical systems that is suitable in the stability analysis of invariant sets. This model is sufficiently general to include as special cases most of the stochastic systems considered in the literature. We then adapt several existing stability concepts to this model and we introduce the notion of stability preserving mapping of stochastic dynamical systems. Next, we establish a result which ensure that a function is a stability preserving mapping, and we use this result in proving a Comparison Stability Theorem for general stochastic dynamical systems. We apply the Comparison Stability Theorem in the stability analysis of dynamical systems determined by Ito differential equations.

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A Remark On The Design Of Time--Varying Stabilizers For Stochastic Differential Systems Without Unforced Dynamics

Authors:

Patrick A. Florchinger,

Volume: 1, Page 2341 Paper number 9017

Abstract:

The purpose of this paper is to extend to stochastic differential systems without unforced dynamics the stabilization techniques for controllable driftless systems developed by Pomet.

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Moment Stability Of Pulse-Width-Modulated Feedback Systems Subjected To Random Disturbances

Authors:

Ling Hou, Anthony N. Michel,

Volume: 1, Page 2343 Paper number 1059

Abstract:

We study the stability properties of pulse-width-modulated (PWM) feedback systems with stable plants, subjected to multiplicative and additive random disturbances (modeled by the derivative of a Wiener process). We show that when the parameters of the pulse-width modulator are within a computable range and the random disturbances are sufficiently small, then the PWM feedback system is globally asymptotically stable in the pth mean. We also show that in the presence of additive disturbances, such PWM feedback systems are bounded in the pth mean for arbitrarily large disturbances.

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Lyapunov Coupled Equations for Infinite Jump Linear Systems

Authors:

Marcelo D. Fragoso, Jack Baczynski,

Volume: 1, Page 2349 Paper number 1673

Abstract:

This paper deals with Lyapunov equations for continuous-time Markov jump linear systems (MJLS). Out of the bent which wends most of the literature on MJLS, we focus here on the case in which the Markov chain has a countably infinite state space. It is shown that the infinite MJLS is stochastically stabilizable (SS) if and only if the associated countably infinite coupled Lyapunov equations have a unique norm bounded strictly positive definite solution. It is worth mentioning here that this result do not hold for mean square stabilizability (MSS), since SS and MSS are no longer equivalent in our set up. To some extent,tools from operator theory in Banach space and, in particular, from semigroup theory are the very technical underpinning of the paper.

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On the Detectability and Observability of Discrete-Time Markov Jump Linear Systems

Authors:

Eduardo F. Costa, João B.R. do Val,

Volume: 1, Page 2355 Paper number 1942

Abstract:

This paper presents a new detectability concept for discrete-time Markov jump linear systems with finite Markov state, which generalizes the MS-detectability concept found in the literature. The new sense of detectability can similarly assure that the solution of the coupled algebraic Riccati equation associated to the quadratic control problem is a stabilizing solution. In addition, the paper introduces a related observability concept which also generalizes previous concepts. Tests for detectability or observability are derived from the corresponding definitions, that can be performed in a finite number of steps. An illustrative example is included to show that a system may be detectable in the new sense but not in the MS sense.

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A Unified Approach for Mean Square Stability of Continuous-Time Markovian Jumping Linear Systems with Additive Disturbances

Authors:

Marcelo D. Fragoso, Oswaldo L.V. Costa,

Volume: 1, Page 2361 Paper number 2013

Abstract:

Necessary and sufficient conditions for mean square stability(MSS) of continuous-time linear systems subject to Markovian jumps in the parameters and additive disturbances are established. We consider two scenarios regarding the additive disturbances: the one in which the system is driven by a Wiener process, and the one characterized by functions in L2, which is the usual scenario for the H-Infinity approach. For both cases it is shown that MSS is equivalent to asymptotic wide sense stationarity (AWSS), to the spectrum of an augmented matrix lying in the open left half plane, and to the existence of a solution for a certain Lyapunov equation. Furthermore, it is proved that the Lyapunov equation can be written down in two equivalent forms with each one providing an easier-to-check sufficient condition. It is also shown that MSS is equivalent to the state x(t) belonging to L2 whenever the disturbances are in L-2. These results provide, inter alia, a flexible theory, in a unified basis, for MSS of continuous-time Markovian jump linear systems.

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