Abstract: This paper investigates injection attacks incorporating stochastic noise against linear discrete time-varying system, which is more general but also more challenging to defend than ...

Let T be an arbitrary n × n matrix with real entries. We explicitly find the closest (in Frobenius norm) matrix A to T, where A is n × n with real entries, subject to the condition that A is ...

The stochastic approximation algorithm is a useful technique which has been exploited successfully in probability theory and statistics for a long time. The step sizes used in stochastic approximation ...

There was an error while loading. Please reload this page. Given a group of stochastic matrices G with real entries, i.e., a subgroup of the general linear group GL_n ...

Classifying Markov chains as ergodic was more complicated than the other tasks for this calculator. The approach we took was to consider the Markov chain as an unweighted directed graph, consisting of ...

ABSTRACT: Let Q be the Q-matrix of an irreducible, positive recurrent Markov process on a countable state space. We show that, under a number of conditions, the stationary distributions of the n × n ...

ABSTRACT: We determine the left eigenvector of a stochastic matrix M associated to the eigenvalue 1 in the commutative and the noncommutative cases. In the commutative case, we see that the ...

Denote by 𝒲₁ the set of complex valued functions of the form a(z)=∑i=−∞+∞aizi such that ∑i=−∞+∞|iai|<∞. We call 𝖰𝖳-matrix a quasi-Toeplitz matrix 𝐴, associated with a symbol 𝑎(𝑧) ∈ 𝒲₁, of the ...