@inproceedings{scholars5092, doi = {10.1051/matecconf/20141301005}, note = {cited By 0; Conference of 4th International Conference on Production, Energy and Reliability, ICPER 2014 ; Conference Date: 3 June 2014 Through 5 June 2014; Conference Code:106620}, volume = {13}, title = {Zero distribution of system with unknown random variables case study: Avoiding collision path}, address = {Kuala Lumpur}, year = {2014}, publisher = {EDP Sciences}, journal = {MATEC Web of Conferences}, author = {Parman, S. and MacHmudah, A. and Baharom, M. B.}, issn = {2261236X}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904974870&doi=10.1051\%2fmatecconf\%2f20141301005&partnerID=40&md5=e150f205c654c73ffdf0eb1bb3faada0}, keywords = {Stochastic systems, Building blockes; Collision paths; Polynomial coefficients; Random coefficients; Random polynomials; Stochastic analysis; Uncertainty factors; Zero distribution, Polynomials}, abstract = {This paper presents the stochastic analysis of finding the feasible trajectories of robotics arm motion at obstacle surrounding. Unknown variables are coefficients of polynomials joint angle so that the collision-free motion is achieved. {\~A}{\pounds}k is matrix consisting of these unknown feasible polynomial coefficients. The pattern of feasible polynomial in the obstacle environment shows as random. This paper proposes to model the pattern of this randomness values using random polynomial with unknown variables as coefficients. The behavior of the system will be obtained from zero distribution as the characteristic of such random polynomial. Results show that the pattern of random polynomial of avoiding collision can be constructed from zero distribution. Zero distribution is like building block of the system with obstacles as uncertainty factor. By scale factor k, which has range, the random coefficient pattern can be predicted. {\^A}{\copyright} 2014 Owned by the authors, published by EDP Sciences.} }