Known conditions for the stability of stochastic, linear time-varying (LTV) dynamical systems based on Liapunov theory are applied to LTV dynamical systems containing interval matrices; both discrete and continuous time processes are considered. These conditions are sufficient for stability with probability 1 (wp1) and, in the case of discrete time, also necessary for stability in m.s. They lead to a simple, noniterative technique that involves the computation of eigenvalues of matrices whose elements often consist of first- and/or second-order moments. The results are useful in areas such as robust design, feedback control, perturbation analysis, and fault tolerant systems.
Stochastic stability theory for systems containing interval matrices
IEEE Transactions on Aerospace and Electronic Systems ; 32 , 4 ; 1385-1391
1996-10-01
864703 byte
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Stochastic Stability Theory for Systems Containing Interval Matrices
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