The concept of inverse systems for standard and positive linear systems is introduced. Necessary and sufficient conditions for the existence of the positive inverse system for continuous-time and discrete-time linear systems are established. It is shown that: 1) The inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stab...

This paper mainly focused on implementation of AES encryption and decryption standard AES-128. All the transformations of both Encryption and Decryption are simulated using an iterativedesign approach in order to minimize the hardware consumption. This method can make it avery low-complex architecture, especially in saving the hardware resource in implementing theAES InverseSub Bytes module and...

A matrix has an ordinary inverse only if it is square, and even then only if it is nonsingular or, inother words, if its columns (or rows) are linearly independent. In recent years needs have been felt innumerous areas of applied mathematics for some kind of partial inverse of a matrix that is singularor even rectangular. In this paper, some results on the Quasi-commuting inverses, are given an...

Background: Hospital bed capacity is one of problems in intensive care unit during at the time of crisis, emergencies and disasters. At this regard, it seems reverse triage can resolve this issue by using predictive score systems. This study was purposed to develop a reverse triage system in intensive care unit using APACHE II scoring system for crisis, emergencies and disasters situations. Me...

This thesis presents a dynamical system approach to learning forward and inverse models in associative recurrent neural networks. Ambiguous inverse models are represented by multi-stable dynamics. Random projection networks, i.e. reservoirs, together with a rigorous regularization methodology enable robust and efficient training of multi-stable dynamics with application to flexible movement con...

Inverse problems are typically solved under the assumption of known geometric system parameters describing the forward problem. Should such information be unavailable or inexact, the estimation of these parameters from only observed sensor data may be necessary prior to reconstruction of the desired signal. We demonstrate the feasibility of such estimation via maximum-likelihood methods for the...

In this study, we first define the concept of inverse and direct system in category of fuzzy modules. We investigate whether or not limit of inverse (direct) system of exact sequences of fuzzy modules is exact. Later, we show that direct system limit of exact sequences of fuzzy modules is exact. Generally, limit of inverse system of exact sequences is not exact. Then we define the notion ← (1) ...