This paper considers the problem of noise tolerant identification of a class of continuous-time systems with unknown constant-input disturbance. To this aim, we first propose an extended formulation of identification ...
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This paper considers the problem of noise tolerant identification of a class of continuous-time systems with unknown constant-input disturbance. To this aim, we first propose an extended formulation of identification method using iterative learning control (ILC) scheme based on sampled I/O data in the presence of measurement noise. The proposed ILC method has distinctive features as follows. Its learning law works in the prescribed finite dimensional parameter space and employs I/O data of all past trials efficiently. Also the time-derivative of tracking error is not required. Then, it is presented how the parameter estimation can be achieved by the proposed ILC method and how robust it is against measurement noise through numerical examples.
identification of boundary parameter process determined by a certain nonlinear differential equation is considered. Motivated by systems of percolation and electropaint processes, the considered system is assumed to b...
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identification of boundary parameter process determined by a certain nonlinear differential equation is considered. Motivated by systems of percolation and electropaint processes, the considered system is assumed to be governed by the Cauchy-Kowaleska type equation with stochastic boundary inputs and certain nonlinearity on the boundary condition. The necessary condition for the optimal maximum-likelihood estimate under noisy partial observations is derived with showing the practical numerical algorithm.
This paper concerns the system identification process which is a specific form of the hypothetico-deductive process. More specifically, this paper deals with the inductive inference, i.e., with the process of generati...
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The reaction-diffusion equations have been studied in various aspects of nature, such as heat transfer and biological dynamic modelling. In this paper, we study a nonlocal reaction-diffusion model with time delay asso...
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The reaction-diffusion equations have been studied in various aspects of nature, such as heat transfer and biological dynamic modelling. In this paper, we study a nonlocal reaction-diffusion model with time delay associated with the density and diffusion behaviour of biological populations. Based on our previous conclusions and numerical strategy of the direct problem, we continue to study the inverse problem about the diffusion coefficient as well as the parameters in the birth function, and also perform numerical simulations with error analysis. In addition, we further generalize the constant diffusion coefficient to the position-dependent diffusion rate, which is intended to improve the generalizability to multiple organisms diffusion in nature.
Parameter identification of quantum systems is a fundamental task in developing practical quantum technology. In this article, we study the identification of time-varying decoherence rates for open quantum systems. Gi...
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Parameter identification of quantum systems is a fundamental task in developing practical quantum technology. In this article, we study the identification of time-varying decoherence rates for open quantum systems. Given the measurement data of local observables, this can be formulated as an optimization problem. We expand the unknown decoherence rates into Fourier series and take the expansion coefficients as optimization variables. We then convert it into a minimax problem and apply a sequential linear programming technique to solve it. Numerical study on a two-qubit quantum system with a time-varying decoherence rate demonstrates the effectiveness of our algorithm.
In this paper, a new correlation analysis based algorithm is proposed for the identification of a class of nonlinear systems which can be described by the NARX (Nonlinear AutoRegressive with eXogeneous input) model wi...
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In this paper, a new correlation analysis based algorithm is proposed for the identification of a class of nonlinear systems which can be described by the NARX (Nonlinear AutoRegressive with eXogeneous input) model with input nonlinearities. Without any assumptions about the structure of an approximating function for the system nonlineariy, the algorithm recovers the functional values of the nonlinearity over a discrete point set associated with the levels of the applied input and estimates the model parameters from the system input output data. An optimal approximating polynomial can then be determined from the nonlinear functional values to produce an optimal estimate for the system nonlinearity. Simulation studies are included to demonstrate the effectiveness of the new method.
Abstract A key feature of a new recursive parameter estimator is its fast convergence. Here averaging theory supports this claim of fast convergence for system parameters, which heretofore has been supported only by e...
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Abstract A key feature of a new recursive parameter estimator is its fast convergence. Here averaging theory supports this claim of fast convergence for system parameters, which heretofore has been supported only by example and by analogy with optimal nonlinear filtering. Averaging theory is also used to investigate possible computational shortcuts. Finally, it is proven that the likelihood function has a unique maximum for stable, observable, single output systems in state space form when the parameters are asymptotically identifiable and true values are in the model set. Then the new parameter estimator must converge globally with probabiltity one to true parameter values when the trajectories of the parameter estimates remain in a certain bounded set.
In this paper two new posibilities for implementing HVE in prime order fields are presented. These are focused on hiding the identity from the decryption entity in predicate encryption. The first advantage is that the...
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In this paper two new posibilities for implementing HVE in prime order fields are presented. These are focused on hiding the identity from the decryption entity in predicate encryption. The first advantage is that the decryption key and ciphertext are flattered. Another advantage is that these require implementation of elliptic curves over prime order field which improve the computation speed over composite ones. The main application of these new algorithms is in the automatic mail distribution field.
Models of the human body are key in bio-engineering and medical applications. This study presents the identification, in time and frequency domains, of linear time invariant models of the human subglottal system, for ...
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Models of the human body are key in bio-engineering and medical applications. This study presents the identification, in time and frequency domains, of linear time invariant models of the human subglottal system, for the clinical assessment of vocal function. For time domain identification, the input-output data corresponds to the glottal volume velocity and the acceleration registered by a sensor on the neck skin of the patient. For frequency domain identification, the frequency response of the subglottal tract module is used. Maximum likelihood and prediction error methods are applied. Additionally, the Akaike and Bayes Information Criteria are used to select the models order.
System identification based on physical laws often involves parameter estimation. Even if parameters are theoretically identifiable, they may be poorly estimable for a given experiment. Thus a significant increase in ...
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System identification based on physical laws often involves parameter estimation. Even if parameters are theoretically identifiable, they may be poorly estimable for a given experiment. Thus a significant increase in accuracy of the parameter estimation may be obtained by a suitable choice of experimental conditions. The original idea of this paper is the combination of a dynamical programming method with a gradient algorithm in the solution of the optimal design. After getting an optimal input, the parameter estimation is performed by minimizing a weighted least square criterion. Weights are either based on the known measurement noise or given by the solution of a linear matrix inequality problem.
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