Vol.8, No 1, 2009 pp. 127 - 136
UDC
517.93 519.2 621.3.019.3
PROBABILITY OF STABILITY AND RELIABILITY OF DISCRETE DYNAMICAL SYSTEMS
Bojana M. Zlatković1, Biljana Samardžić2
1The Faculty of Occupational Safety, Nis, Serbia, E-mail: bojana.zlatkovic@nadlanu.com
2The Faculty of Science and Mathematics, E-mail: vidojkovic@yahoo.com
Abstract.
Method for the probability of stability estimation of discrete systems with randomly chosen parameters is presented in this paper. Various formulas for different types of parameter distribution are obtained and used to calculate probability of stability for an arbitrary order system. Since the main goal is to obtain the system maximum probability of stability, using this method and choosing the adequate values of parameters it is possible to do so. For its simplicity and efficiency this method can be used in practical applications and it is appropriate for reliability analysis of discrete systems with variable parameters.
Key Words:
Probability of stability, reliability, imperfect system
VEROVATNOĆA STABILNOSTI I POUZDANOST DISKRETNIH DINAMIČKIH SISTEMA
U ovom radu je predstavljen metod za procenu verovatnoće stabilnosti diskretnih sistema sa slučajno izabranim parametrima. Izvedene su formule za izračunavanje verovatnoće stabilnosti sistema proizvoljnog reda za različite raspodele parametara. Pošto je glavni cilj dobiti maksimalnu verovatnoću stabilnosti, korišćenjem ovog metoda i izborom adekvatnih vrednosti parametara to je moguće ostvariti. Zbog svoje jednostavnosti i efikasnosti ovaj metod se može koristiti i u praktičnim primenama i pogodan je za analizu pouzdanosti diskretnih sistema sa promenljivim parametrima.
Ključne reči:
Verovatnoća stabilnosti, pouzdanost, nesavršeni sistemi.
