The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Algorithmic specified complexity (ASC) measures the degree to which an object is meaningful. Neither fundamental Shannon nor Kolmogorov information models are equipped to do so. ASC uses performance context in an information theoretic framework to measure the degree of specified complexity in bits. To illustrate, we apply ASC to Conway’s Game of Life to differentiate patterns designed by programmers...
Duals of probability distributions on continuous (R) domains exist on discrete (Z) domains. The Poisson distribution on R, for example, manifests itself as a binomial distribution on Z. Time scales are a domain generalization in which R and Z are special cases. We formulate a generalized Poisson process on an arbitrary time scale and show that the conventional Poisson distribution on R and binomial...
We revisit the canonical continuous-time and discrete-time matrix algebraic and matrix differential equations that play a central role in Lyapunov-based stability arguments. The goal is to generalize and extend these types of equations and subsequent analysis to dynamical systems on domains other than R or Z, called ??time scales??, e.g. nonuniform discrete domains or domains consisting of a mixture...
A fundamental result in linear system theory is the development of a linear state feedback stabilizer for time-varying systems under suitable controllability constraints. This result was previously restricted to systems operating on the continuous (??) and uniform discrete (h??) time domains with constant step size h. Using the framework of dynamic equations on time scales, we construct a linear state...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.