Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles.
Non-fragile sampled data filtering of general continuous Markov jump linear systems
This paper is concerned with the non-fragile sampled data filtering problem for continuous Markov jump linear system with partly known transition probabilities (TPs). The filter gain is assumed to have additive variations and TPs are assumed to be known, uncertain with known bounds and completely unknown. The aim is to design a non-fragile filter to ensure both the robust stochastic stability and a prescribed level of performance for the filtering error dynamics. Sufficient conditions for...
Nonlinear Markov processes in big networks
Big networks express multiple classes of large-scale networks in many practical areas such as computer networks, internet of things, cloud computation, manufacturing systems, transportation networks, and healthcare systems. This paper analyzes such big networks, and applies the mean-field theory and the nonlinear Markov processes to constructing a broad class of nonlinear continuous-time block-structured Markov processes, which can be used to deal with many practical stochastic systems. Firstly,...
Non-linear Wiener-Hopf theory, 1 : an appetizer