Abstract— The Chen-Fliess series is known to be an exponential Lie series. Previously explicit formulas for the iterated integral coefficients were known only for its factorizat...
We de ne the e ective integrability of Fine-computable functions and e ectivize some fundamental limit theorems in the theory of Lebesgue integral such as Bounded Convergence Theo...
— In this paper we give conditions that a discrete time switched linear systems must satisfy if it is stable. We do this by calculating the mean and covariance of the set of matr...
Any mapping S : C → K, where K is a field and C = (C, Σ) is a Σ-algebra, is called a KC-series. These series are natural generalizations of both formal series on strings over...
This paper presents a series expansion for the evolution of a class of nonlinear systems characterized by constant input vector fields. We present a series expansion that can be c...