We consider a new formulation of a class of synchronization error channels and derive analytical bounds and numerical estimates for the capacity of these channels. For the binary channel with only deletions, we obtain an expression for the symmetric information rate in terms of subsequence weights which reduces to a tight lower bound for small deletion probabilities. We are also able to exactly...

This paper presents some properties regarding the Multivariable Generalized Predictive Controller (MGPC) designed in state space. The authors proposed the design of such a controller under the condition that it gives the same results as the input/output (I/O) formulation of the GPC proposed originally by Clarke. The main reason for redesigning the controller in state space is the power of the a...

The goal of the proposed research is twofold: 1) it will define and investigate the cohomology of Feynman graphs, investigating the relation to the moduli space of L-infinity morphisms; 2) based on the results and experience gained, the existence of a combinatorial formula for the coefficients of Kontsevich formula for the star product in the deformation quantization of Poisson manifolds will b...

As far as the identification of linear time-invariant state-space representation is concerned, among all of the solutions available in the literature, the subspace-based state-space model identification techniques have proved their efficiency in many practical cases since the beginning of the 90’s as illustrated, e.g., in [95, 12, 4, 30, 51, 28, 68, 27, 89, 11]. This paper introduces an overvie...

In this work, we establish a framework for balanced realization of linear systems subject to regime switching modulated by a continuous-time Markov chain with a finite state space. First, a definition of balanced realization is given. Then a ρ-balanced realization is developed to approximate the system of balancing equations, which is a system of time-varying algebraic equations. When the state...