Journal ArticleDOI
$l_{2} - l_{\infty}$ Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference
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TLDR
This brief proposes a new l2 - l∞ stability criterion for the absence of limit cycles in 2-D digital filters that are described by Roesser model with external interference, represented in terms of linear matrix inequality, which can be verified by using existing numerical packages.Abstract:
Two-dimensional (2-D) digital filters can be corrupted by external interferences, but no stability criteria have yet been established This brief proposes a new l2 - l∞ stability criterion for the absence of limit cycles in 2-D digital filters that are described by Roesser model with external interference Our new criterion ensures the attenuation of the effect of external interference on 2-D digital filters to a prescribed level This criterion also guarantees the asymptotic stability result without external interference The proposed criterion is represented in terms of linear matrix inequality, which can be verified by using existing numerical packages We use an illustrative example to demonstrate the effectiveness of the proposed criterionread more
Citations
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Journal ArticleDOI
Two-Dimensional Dissipative Control and Filtering for Roesser Model
TL;DR: This paper investigates the problems of two-dimensional (2-D) dissipative control and filtering for a linear discrete-time Roesser model and proposes new designs of 2-D (Q, S, R)-α-dissipative filters of observer form and general form using a linear matrix inequality (LMI) approach.
Journal ArticleDOI
Stochastic stability analysis for 2-D Roesser systems with multiplicative noise
Choon Ki Ahn,Ligang Wu,Peng Shi +2 more
TL;DR: The robust stochastic stability analysis for two-dimensional (2-D) discrete state-multiplicative noisy systems (SMNSs) in the Roesser form is concerned with and a new sufficient condition under which linear discrete SMNSs are 2-D robustly stochastically stable is derived.
Journal ArticleDOI
Disturbance-Observer-Based Robust Synchronization Control for a Class of Fractional-Order Chaotic Systems
TL;DR: The simulation results are presented to show the effectiveness of the proposed new design approach to synchronization control for the fractional-order chaotic system subject to input saturation and external unknown disturbances.
Journal ArticleDOI
Robust Control of Networked Systems With Variable Communication Capabilities and Application to a Semi-Active Suspension System
TL;DR: In this paper, a robust control problem of a class of networked systems operated within a multiple communication channels (MCCs) environment is considered, where the active channel in such MCCs for the data communication is switched and the switching is governed by a Markov chain.
Journal ArticleDOI
Filtering of Discrete-Time Switched Neural Networks Ensuring Exponential Dissipative and $l_{2}$ – $l_{\infty }$ Performances
TL;DR: This paper establishes new sets of linear matrix inequality (LMI) criteria such that discrete-time filtering error systems are exponentially stable with guaranteed performances in the exponential dissipative and filters for DSNNs can be achieved by solving the proposed sets of LMI conditions.
References
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Journal ArticleDOI
A discrete state-space model for linear image processing
TL;DR: In this paper, the linear time-discrete state-space model is generalized from single-dimensional time to two-dimensional space, which includes extending certain basic known concepts from one to two dimensions, such as the general response formula, state transition matrix, Cayley-Hamilton theorem, observability, and controllability.
Proceedings ArticleDOI
The LMI control toolbox
TL;DR: This paper describes a new MATLAB-based toolbox for control design via linear matrix inequality (LMI) techniques, and its contents and capabilities are presented.
Journal ArticleDOI
Doubly-indexed dynamical systems: State-space models and structural properties
Ettore Fornasini,G. Marchesini +1 more
TL;DR: Doubly-indexed dynamical systems provide a state space realization of two-dimensional filters which includes previous state models, and algebraic criteria for testing structural properties (reachability, observability, internal stability) are introduced.