While the computation of the matrix exponential is known to be dubious, the computed value is used widely in system analysis. This is especially true for the time-dependent matrix exponential. As the systems that we model become more complex, the order of the systems, and thus the order of the matrix exponential become larger. Even with today’s increases in processing power, the computation of ...

This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality LMI . Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numer...

In this paper we present a method based on using exponential basis functions (EBFs) to solve well-known two-dimensional time dependent engineering problems such as elasto-dynamic ones. The formulation has much in common with those in three dimensional problems while time is taken as the third axis. The solution is first approximated by a summation of EBFs and then completed by satisfying the ti...

Exponential algorithms, i.e. algorithms of complexity O(c) for some c > 1, seem to be unavoidable in the case of NP-complete problems (unless P=NP), especially if the problem in question needs to be solved exactly and not approximately. If the constant c is close to 1 such algorithms have practical importance. Deterministic algorithms of exponential complexity usually involve some kind of backt...

<p style='text-indent:20px;'>This paper is concerned with system of magnetic effected piezoelectric beams interior time-varying delay and time-dependent weights, in which the beam clamped at two side points subject to a single distributed state feedback controller delay. Under appropriate assumptions on term we obtain exponential stability estimates by using multiplicative technique, prov...

in this paper, using the tight-binding model, we extend the real-space renormalization group method to time-dependent hamiltonians. we drive the time-dependent recursion relations for the renormalized tight-binding hamiltonian by decimating selective sites of lattice iteratively. the formalism is then used for the calculation of the local density of electronic states for a one dimensional quant...