It is common practice to use linear plant models and linear controllers in the control systems design. Such approach has simple explanation applying to plants with insignificant nonlinearity or to those, functioning closely to a working point. But linear controllers, indeed with some modification, are used even for plants with significant non-linearities. Because of several reasons the non-line...

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A widely agreed upon definition of time series causality inference, established in the seminal 1969 article of Clive Granger (1969), is based on the relative ability of the history of one time series to predict the current state of another, conditional on all other past information. While the Granger Causality (GC) principle remains uncontested, its literal application is challenged by practica...

We consider the function class E generated by the constant functions, the projection functions, the predecessor function, the substitution operator, and the recursion on notation operator. Furthermore, we introduce regressive machines, i.e. register machines which have the division by 2 and the predecessor as basic operations. We show that E is the class of functions computable by regressive ma...

Today's precipitation is growing increasingly variable, making forecasting difficult. The Indian Meteorological Department (IMD) currently employs Composite and Stochastic approaches to forecast spring storm in Asia. As a corollary, planners are unlikely predict the macroeconomic effects of disasters (due excessive precipitation) or famine (less precipitation). amount that drops dependent on va...