Title :
Stability of linear differential equations with random coefficients
Author :
Blankenship, Gilmer
Author_Institution :
Case Western Reserve University, Cleveland, OH, USA
fDate :
10/1/1977 12:00:00 AM
Abstract :
The stability of stochastic differential equations with random coefficients is considered. The coefficients are not required to be wide-band noise, but either strongly ergodic or Markovian. Results are given for almost sure sample stability and stability of moments of arbitrary order. The damned harmonic oscillator with random spring constant is considered as an example.
Keywords :
Linear systems, stochastic continuous-time; Stability; Coordinate measuring machines; Differential equations; Linear matrix inequalities; Mathematics; Stability; Stochastic processes;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1977.1101612