Editor's note: As the following article is a chapter (Chapter 8) from David Koenig's book, Practical Control Engineering: Guide for Engineers, Managers, and Practitioners (MATLAB Examples) (McGraw ...

Abstract: We present a framework to interpret signal temporal logic (STL) formulas over discrete-time stochastic processes in terms of the induced risk. Each realization of a stochastic process either ...

Abstract: Stability conditions for discrete-time stochastic systems characterized by general stochastic processes have been discussed in earlier articles, under the assumption that the systems are ...

Various discrete-time stochastic processes have some kind of recursive or regenerative structure that can be exploited in the study of their properties. Examples include branching processes, ...

This is a preview. Log in through your library . The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis ...

1 Mathematics and Computer Science, Oakton College, Des Plaines, USA. 2 Mathematics, Northeastern Illinois University, Chicago, USA. As an example of the construction of processes with continuous time ...

This is a preview. Log in through your library . Abstract The duel in which the contestant on each side has a fixed kill probability and a random (continuous) time between firings has been previously ...

Cellular dynamics are intrinsically noisy, so mechanistic models must incorporate stochasticity if they are to adequately model experimental observations. As well as intrinsic stochasticity in gene ...

Stochastic Finance. An Introduction in Discrete Time. 5th revised and extended edition. 5th revised and extended editionth ed. De Gruyter, 2025.