WebbBOUNDED SOLUTIONS 5 Consider the Lyapunov functional V(t;x) : R+ £ D ! R+ such that V(t;x) = x2: Then along solutions of the differential equation we have V0 = 2xx0 5 3 x4 +2Rx4=3 5 3 x4 +2jRjx4=3 (2.8) Using Young’s inequality with e = 3 and f = 3=2, we get jxj4=3jRj • x4 3 + 2 3 jRj3=2: Hence V0(t;x) • ¡x4 + 4 3 jRj3=2: We take ‚1 = ‚2 = 1; ‚3 = 1 … Webb21 okt. 2009 · Ingersoll Rand Products @IRProducts The official account of Ingersoll Rand air compressors, power tools & material handling systems. Products you can count on to get the job done right every time. ingersollrand.com Joined October 2009 440 Following 8,169 Followers Tweets & replies Media
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