Keteramatan Sistem Deskriptor Kontinu

In this paper the observability of continuous descriptor system of the form Ex(t)= Ax(t) Bu(t), x(0)=x0 will be studied, where  E,A, and B are constant matrices that may be singular and u(t) is piecewise continuous function which is differentiated (m-1) times, where m is the degree of nilpotency system. Two definitions about observability of descriptor systems  along with their characterizations given by Dai and Yip will be both discussed, then further the relationship and comparison between these characterizations will be presented

Analisis Lintasan Kritis Jaringan Proyek Dengan Pendekatan Aljabar Max-plus

This paper proposes a method to critical path analysis in the project network using max-plus algebra approach. The project network would be represented as a matrix over max-plus algebra. The dynamic of the project would be modeled and analyzed using max-plus algebra approach. The critical path analysis consists of determining earliest start time, latest completion time and float time. The finding show that the dynamic of the project is could be modeled in a systems of max-plus linear equations. The earliest start times of every node in the project are the solution of the system. The latest completion times of every node in the project are the solution of the modified system. The float time of every activity in the project could be detemined by modify and do some matrices operation over earliest start time vector and latest completion time vector. An example for modeling and computing a project using MATLAB example show that the result was appropriated with the critical path method (CPM)

Sifat Periodik Jaringan Antrian Seri Tertutup Dengan Pendekatan Aljabar Max-plus

. This article discussed about the properties of closed periodic queuing network series susing max-plus algebra. The result showed that the properties of closed periodic dinamic queuing network series can be determined by using the concept of eigen values ​​and eigen vectors of max-plus matrix in the network model. Through the max-plus eigen vector fundamental, can be determined faster early time departure of customers of departure to the next customer periodically, with a large period of max-plus eigenvalu