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We consider a path-following problem in which the goal is to ensure that the error between the system output and the geometric path be asymptotically less than a prespecified constant, while guaranteeing a forward motion along the path and boundedness of all states. A solution to this problem was given in [12] for a class of nonlinear systems and for paths(More)
We consider the averaging method for stability of rapidly switching linear systems with disturbances. We show that the notions of strong and weak averages proposed in [1], with partial strong average defined in this paper, play an important role in the context of switched systems. Using these notions of average, we show that exponential ISS of the strong(More)
A new approach to a simple disjunctive decomposition of a Boolean function is presented. It is based on using symmetric relations among a function's variables to recognize intrinsic characteristics of the function. The conditions for the existence of a simple disjunctive decomposition are formulated and a hierarchical simple disjunctive decomposition is(More)
Clustering is an important part of data mining techniques, and VDBSCAN is a well-known density-based one. VDBSCAN is robust against noise and can recognize arbitrary shapes of clusters. Besides, it works effectively when dealing with datasets with varying densities. A main drawback of VDBSCAN is that it still requires a user-specified parameter K. An(More)
(or sampling) variable of a line parameterization must be a uniform one. Since in any real implementation, only a limited number of straight lines, say M, is assumed to go through a given image point, not a theoretically infinitely large number of straight lines could, the uniformness condition in this case is to say that the intersection angle between any(More)