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such that u(r)--0 one has LV(r):v(i@D -v(") and otherwise, g(r,z,u) being homogeneous of degree 2 with respect to u one gets: Lv(r):v(f (,)) -v(,) -ft-On"(')ll'+ ll, Global Stabilization of Nonaffine Control Systems It follows that ,
in addition, / and V arc both C-functions, by choosing Kt and Kz C-, the stabilizing feedback law @.24) becomes also C-. In the next section, we turn our interest to the single-input case (*:1) for which we give more general sufrcient condition for stabilization ,
er the continuous-time nonlinear system (4.2) with the control u ? lR, and 4. Global Stabilization of Nonaffine Control Systems 4.6 References lll Z.Artstein. Stabilization with relaxed controls. Nonli,near Anal, TMA, issue.7, pp.1163-1173, 1983. ,
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Feedback Stabitization of Stochastic Nonlinear Composite Systems the soluti,onl rx :-0 of the stochasti,c di,fferenti,al equati,on (6.1 i,s sa'id to be asgmptoti'callg stable i,n probabi,li,ty. It i,s globallg asgmptoti,callg stable in probabi ,
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