Ab~tract-This paper presents a method to determine a nonlinear state space model from a 6nite number of measurements of the inputs and outputs. The method is based on embedding theory for nonlinear systems, and can be viewed as an extension of the subspace identification method for linear systems. The paper describes the underlying theory and provides some guidelines for using the method in pra...

in this paper we give conditions for a tuple of commutative bounded linear operators which holds in the property of the hypercyclicity criterion. we characterize topological transitivity and semi-hereiditarily of a dynamical system given  by an n-tuple of operators acting on a separable infinite dimensional banach space .

H∞ preview control and fixed-lag smoothing problems are solved in general discrete time linear systems, via a reduction to equivalent open loop differential games. To prevent high order Riccati equations, found in some solutions, the state of the Hamilton-Jacobi system (HJS) resides in a quotient space of an auxiliary extended state space system. The dimension of that auxiliary space is equal t...

Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $Ksetminus G/H$, which equipped with an $N$-strongly quasi invariant measure $mu$, for $1leq pleq +infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(Ksetminus G/H,mu)$ and demonstrate that it may be identified with a quotient space of $L^p(G)$. In addition, we illustrate t...