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On the comparison of the stability and control problem of differential systems
Ist Teil von
Stochastic analysis and applications, 1998-01, Vol.16 (3), p.533-551
Ort / Verlag
Philadelphia, PA: Marcel Dekker, Inc
Erscheinungsjahr
1998
Quelle
Taylor & Francis Journals Auto-Holdings Collection
Beschreibungen/Notizen
This paper deals with notions which allow us to compare the degree of developments of dynamic systems. The classical definition of stability can be obtained by comparing the considered system with the trivial equation Ẋ ¦ 0. In the linear cases, this definition leads to the comparison of the top essup - exponents of these systems. We are also concerned with the control problem of Lyapunov exponents for choosing "a stablest system". The existence of optimal controls is proved