On designing observers for time-delay systems with non-linear disturbances

Wang, Zidong; Goodall, D.P.; Burnham, Keith J.

doi:10.1080/00207170210126245

Cited by 81 publications

(33 citation statements)

References 17 publications

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“…m is the neurondependent nonlinear disturbances on the network outputs, and satisfies the following Lipschitz condition: jf(t; x) 0 f(t; y)j jF(x 0 y)j (5) where the constant matrix F 2 n2n is known. Note that the nonlinearity description given in (5) has been frequently used in many papers dealing with nonlinear analysis [16].…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

State Estimation for Delayed Neural Networks

Wang

Liu³

2005

IEEE Trans. Neural Netw.

378

161

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Abstract-In this letter, the state estimation problem is studied for neural networks with time-varying delays. The interconnection matrix and the activation functions are assumed to be norm-bounded. The problem addressed is to estimate the neuron states, through available output measurements, such that for all admissible time-delays, the dynamics of the estimation error is globally exponentially stable. An effective linear matrix inequality approach is developed to solve the neuron state estimation problem. In particular, we derive the conditions for the existence of the desired estimators for the delayed neural networks. We also parameterize the explicit expression of the set of desired estimators in terms of linear matrix inequalities (LMIs). Finally, it is shown that the main results can be easily extended to cope with the traditional stability analysis problem for delayed neural networks. Numerical examples are included to illustrate the applicability of the proposed design method.

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Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

State Estimation for Delayed Neural Networks

Wang

Liu³

2005

IEEE Trans. Neural Netw.

378

161

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“…The observer design problem is studied for instance in [6,11,16,22,24] and references therein. [6] investigated the problem of state reconstruction from input and output measurements for nonlinear time delay systems and proposed a state observer.…”

Section: Observer Designmentioning

confidence: 99%

“…In [16], a generalized notion of linearization via output injections is studied and an observer is designed for nonlinear time delay systems. A quadratic matrix inequality approach and a linear matrix inequality approach are developed in [22] to solve the observer design problem. In [24], it is shown that the observer design problem can be formulated as a linear matrix inequality feasibility problem.…”

Section: Observer Designmentioning

confidence: 99%

A separation principle for the stabilization of a class of time delay nonlinear systems

Benabdallah¹

2015

Kybernetika

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“…Several varieties of state observer e.g., unknown input, disturbance decoupled, full-order, minimal-order, functional, etc. have been systematically investigated in [17]. Most frequently used observer systems are Luendberger observer, Kalman filter, and adaptive observer.…”

Section: Observers For Time-delay Systemsmentioning

confidence: 99%

“…Now by using observer design concept described in (17), the observer for the linear-time delay system considered in this paper can be defined as:…”

Section: X T and Y T Cx T    mentioning

confidence: 99%

Evaluation of Load Balancing Performance of Parallel Processing Linear Time-Delay Systems

Kabir

Alam²,

Azad³

2015

IJIEEB

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Abstract-Time delays in system states or control may result into unacceptable system operation or uncertainty in specialised technical systems like aircraft control, plant control, robotics etc. The issue of robustness, controllability, traceability, flexible management, reliability, and safety of such systems with time-delays, has been one of the primary research focuses of the last few decades. In parallel computing, different computing subunits share their tasks to balance loads to increase performance and throughput. In order to do so, subsystems have to communicate among themselves, adding further delay on top of existing system delay. It is possible to maintain performance and stability of the whole system, by designing observer for every subsystem in the system, overseeing the system state and compensating for existing time-delay. This paper reviews present literature to identify a linear time-delay system for load balancing and evaluates the stability and load balancing performance of the system with and without an observer. Stability is analysed in terms of oscillation in the system responses and performance is evaluated as the speed of load-balancing operation.

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On designing observers for time-delay systems with non-linear disturbances

Cited by 81 publications

References 17 publications

State Estimation for Delayed Neural Networks

State Estimation for Delayed Neural Networks

A separation principle for the stabilization of a class of time delay nonlinear systems

Evaluation of Load Balancing Performance of Parallel Processing Linear Time-Delay Systems

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