A Jurdjevic-Quinn theorem for nonlinear stochastic systems

The main task of this paper is to provide sufficient conditions for the stabilizability of nonlinear stochastic differential systems which are not necessarily affine in the control. This result ext...

[1]  V. Jurdjevic,et al.  Controllability and stability , 1978 .

[2]  Rachid Outbib,et al.  Stabilizability of the angular velocity of a rigid body revisited , 1992 .

[3]  Patrick Florchinger A Stochastic Jurdjevic--Quinn Theorem , 2002, SIAM J. Control. Optim..

[4]  P. Florchinger Feedback Stabilization of Affine in the Control Stochastic Differential Systems by the Control Lyapunov Function Method , 1997 .

[5]  Eduardo Sontag A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[6]  J. Tsinias,et al.  Existence of control Lyapunov functions and application to state feedback stabilizabilty of nonlinear systems , 1991 .

[7]  Z. Artstein Stabilization with relaxed controls , 1983 .

[8]  John Tsinias Asymptotic feedback stabilization: a sufficient condition for the existence of control Lyapunov functions , 1991 .

[9]  P. Florchinger A universal formula for the stabilization of control stochastic differential equations , 1993 .

[10]  A Jurdjevic-Quinn type theorem for nonlinear systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[11]  P. Florchinger Lyapunov-Like Techniques for Stochastic Stability , 1995 .

[12]  P. Florchinger A stochastic version of Jurdjevic–Quinn theorem , 1994 .

[13]  A STOCHASTIC JURDJEVIC-QUINN THEOREM FOR THE STABILIZATION OF NONLINEAR STOCHASTIC DIFFERENTIAL SYSTEMS , 2001 .

[14]  R. Chabour,et al.  A Jurdjevic-Quinn Theorem for Stochastic Nonlinear Systems , 1998 .