Null controllability for a class of parallelly connected discrete-time polynomial systems is considered. We prove for this class of systems that a necessary and sufficient condition for null controllability of the parallel connection is that all its subsystems are null controllable. Consequently, the controllability test splits into a number of easy-to-check tests for the subsystems. The test f...

Given two analytic nonlinear input-output systems represented as Fliess operators, four system interconnections are considered in a unified setting: the parallel connection, product connection, cascade connection, and feedback connection. In each case, the corresponding generating series is produced and conditions for the convergence of the corresponding Fliess operator are given. In the proces...

There are very few reports in the past on applications of Evolutionary Strategy (ES) towards the synthesis of analogue circuits. Moreover, even fewer reports are on the synthesis of computational circuits. Last fact is mainly due to the difficulty in designing of the complex nonlinear functions that these circuits perform. In this paper, the evolving power of the ES is challenged to design four...

The trans-regulatory circuit is considered as the regulatory interactions between upstream regulatory genes and transcription factor binding site motifs or cis elements. And the cis-regulatory circuit is viewed as a dynamic interactive circuit among binding site motifs with their effective action on the expression scheme of target gene. In brief, gene transcription depends on the trans/cis regu...

The Feynman–Vernon influence functional formalism which is adequate for the study of dissipative dynamics used to describe weakly coupled circuits. classical behavior system formed by a resistance, electric and magnetic polarizations characterized approach whose behavior, although linear in some sense, not representable systems perfect oscillators. In addition, combinations complex q-exponentia...

A different manner of study synchronization between chaotic systems is presented. This done by using two forced coupled nonlinear circuits. The way coupling the under from those used in analysis chaos dynamical low dimensionality. and how to manipulate it, carried out through variation couplings calculating bifurcation diagrams. We observed that for rather larger values circuits it reached tota...