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A new decomposition method for stochastic dynamic stabilization. (English) Zbl 0831.93066
The author extends one of his results on stochastic stability to dynamic stabilization of stochastic systems. He accomplishes this by considering a reduced system, where a stabilizing feedback is easier to obtain.

93E15Stochastic stability
93D15Stabilization of systems by feedback
Full Text: DOI
[1] Sontag, E. D.; Sussmann, H. J.: Further comments on the stability of the angular velocity of a rigid body. Systems and control letters 12, 213-217 (1988) · Zbl 0675.93064
[2] Kokotovic, P. V.; Sussmann, H. J.: A positive real condition for global stabilization of nonlinear systems. Systems and control letters 13, 125-133 (1989) · Zbl 0684.93066
[3] Tsinias, J.: Sufficient Lyapunov-like conditions for stabilization. Mathematics of control signals and systems 2, 343-357 (1989) · Zbl 0688.93048
[4] Tsinias, J.: A local stabilization theorem for interconnected systems. Systems and control letters 18, 429-434 (1992) · Zbl 0763.93076
[5] Coron, J. M.; Praly, L.: Adding an integrator for the stabilization problem. Systems and control letters 17, 84-104 (1991) · Zbl 0747.93072
[6] R. Outbib and G. Sallet, Reduction principle for the stabilization problem, Systems and Control Letters (to appear). · Zbl 1274.93229
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[13] Kushner, H. J.: Stochastic stability. Stability of stochastic dynamical systems, lecture notes in mathematics 294, 97-124 (1972)