We investigate the computational power of several models of dynamical systems under infinitesimal perturbations of their dynamics. We consider in our study models for discrete and continuous time dynamical systems: Turing machines, Piecewise affine maps, Linear hybrid automata and Piecewise constant derivative systems (a simple model of hybrid systems). We associate with each of these models a ...

When the Poincaré map associated with a periodic orbit of a hybrid dynamical system has constant-rank iterates, we demonstrate the existence of a constant-dimensional invariant subsystem near the orbit which attracts all nearby trajectories in finite time. This result shows that the longterm behavior of a hybrid model with a large number of degrees-of-freedom may be governed by a low-dimensiona...

In this paper, we issue a hybrid system, which is integrated with the fuzzy system and Petri net models. We exploit the characteristics, imprecise or ambiguous information, of fuzzy theory to map the algorithm of crisp inputs and outputs, furthermore, model problems, product a nonlinear function, and final predict the next state transition of Petri net graphs. In order to quickly and precisely ...

This paper describes several novel hybrid semantic similarity measures. We study various combinations of 16 baseline measures based on WordNet, Web as a corpus, corpora, dictionaries, and encyclopedia. The hybrid measures rely on 8 combination methods and 3 measure selection techniques and are evaluated on (a) the task of predicting semantic similarity scores and (b) the task of predicting sema...

A hybrid system, which is integrated with the fuzzy system and Petri net models. We exploit the characteristics, imprecise or ambiguous information, of fuzzy theory to map the algorithm of crisp inputs and outputs, furthermore, model problems, product a nonlinear function, and final predict the next state transition of Petri net graphs. In order to quickly and precisely predict the result state...

We introduce a geometrical diagram to study the improvement in shape of triangles generated by iterative application of triangle subdivision. The four Triangles Longest Edge (4TLE) subdivision pattern and a new hybrid 4T Longest-Edge/Self-Similar (hybrid 4TLE-SS) scheme are investigated in this way. The map diagram provides a convenient way to visualize the evolution and migration of element sh...

In this paper, a hybrid intelligent system that integrates the SOM (Self-Organizing Map) neural network, kMER (kernel-based Maximum Entropy learning Rule), and Probabilistic Neural Network (PNN) for data visualization and classification is proposed. The rationales of this Probabilistic SOM-kMER model are explained, and its applicability is demonstrated using two benchmark data sets. The results...

The Poincaré-Bendixson theorem plays an important role in the study of the qualitative behavior of dynamical systems on the plane; it describes the structure of limit sets in such systems. We prove a version of the Poincaré-Bendixson Theorem for two dimensional hybrid dynamical systems and describe a method for computing the derivative of the Poincaré return map, a useful object for the stabili...

Abstract—A Hybrid-Similarity technique is proposed for improving the matching accuracy in wafer fail-map pattern detection compared with Cosine-Similarity and Jaccard-Similarity. This is good for gathering the failure data in engineer pre-defined patterns. The adapted low pass filtering and cutting-off technique make the matching calculation simpler and faster than conventional methods. From 5 ...

We consider the control problem of a Variable Configuration CO2 Removal system, which exhibits a hybrid dynamical character due to various operating modes of the system. The objective of the control problem is to track a desired concentration profile of CO2 and O2 in a crew cabin while keeping their concentrations within permissible bounds. We present a novel adaptation of the model predictive ...