A universal formula for the stabilization of control stochastic differential equations

References

• Aeyels , D. 1985 . Stabilization of a class of nonlinear systerns by a smooth feedback control . Systems and Control Letters , 5 : 289 – 294 .
   Web of Science ®Google Scholar
• Artstein , Z. 1983 . Stabilization with relaxed controls . Nonlinear A n.alusis Theory Methods and Applications , 7 : 1163 – 1173 .
   Web of Science ®Google Scholar
• Brockett , R.W. 1983 . “ Asymptotic stability and feedback stabilization ” . In Differential Geometric Control Theory , Edited by: Brockett , R.W. , Millman , R.S. and Sussmann , H.J. 181 – 191 . Boston : Birkhauser .
   Google Scholar
• Gao , Z.Y. and Ahmed , N.U. 1986 . Stabilizability of certain stochastic systems . International Journal of Systems Science , 17 ( 8 ) : 1175 – 1185 .
   Web of Science ®Google Scholar
• Has'minskii , R.Z. 1980 . “ Stochastic stability of differential equations ” . Sijthoff & Noordhoff, Alphen aan den Rijn .
   Google Scholar
• Hermes , H. 1980 . On the synthesis of a staabilizing feedback control via Lie algebraic methods . SIAM Journal of Control and Opiimizclion , 18 : 352 – 361 .
   Google Scholar
• Ikeda , N. and Watanabe , S. 1981 . “ Stochastic differential equations and diffusion processes ” . Amsterdam : North- Holland Kodansha .
   Google Scholar
• Jurdjevic , V. and Quinn , J.P. 1978 . Controllability and stability . Journal of Differential Equations , 28 : 381 – 380 .
   Web of Science ®Google Scholar
• Lin , Y. and Sontag , E.D. 1991 . A universal formula for stabilization with bounded controls . Systents and Control Leiters , 16 : 393 – 397 .
   Web of Science ®Google Scholar
• Sontag , E.D. 1983 . A Lyapunov-like characterization of asymptotic controllability . SIAM Journal of Control and Optimization , 21 : 462 – 471 .
   Web of Science ®Google Scholar
• Sontag , E.D. 1989 . A universal construction of Artstein's theorem On nonlinear stabilization . Systems and Control Letters , 13 : 117 – 123 .
   Web of Science ®Google Scholar
• Sontag , E.D. 1990 . “ Feedback stabilization of nonlinear systems ” . In Robust Control of Linear Systel1ls and Nonlinear Control , Edited by: Kaashoek , M.A. , Schuppen , J.H van and Ran , A.C.M. 61 – 81 . Cambridge, MA : Birkhäuser .
   Google Scholar
• Tsinias , J. 1980 . Sufficient Lyapunov-like conditions for stabilization . Mathematics of Control Signals and Systems , 2 : 343 – 357 .
   Google Scholar