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The standard conjugate gradient (CG) method uses orthogonality of the residues to simplify the formulas for the parameters necessary for convergence. In adaptive filtering, the sample-by-sample update of the correlation matrix and the cross-correlation vector causes a loss of the residue orthogonality in a modified online algorithm, which, in turn, results(More)
Perceptrons, proposed in the seminal paper McCulloch-Pitts of 1943, have remained of interest to neural network community because of their simplicity and usefulness in classifying linearly separable data. Gradient descent and conjugate gradient are two widely used techniques for solving a set of linear inequalities. In finite precision implementation, the(More)
Fault detection and isolation is an essential task in automated manufacturing systems and, as such, has received considerable attention in the literature. We propose in this paper a Petri net approach to online diagnosis of a discrete event system (DES) modeled by a finite state automaton. The diagnosis method requires, in general, less memory than other(More)
Modern industrial systems are real time controlled and supervised by means of automatic computer-based control systems, combining discrete and continuous behaviors, and are best modeled as hybrid systems (HS). In this paper, two methods for the verification of the diagnosability of hybrid systems are proposed. The first method is based on the construction(More)
In order to diagnose the occurrence of a fault event of a Discrete-Event System (DES), it is first necessary to verify if the language of the system is diagnosable with respect to an observable event set and a fault event set. If the language of the system is diagnosable, then a diagnoser can be implemented. In some cases, the language of the system remains(More)
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