Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics

References

• Alcorta , MA , Basin , M , Maldonado , JJ and Anguiano , SG . 2008 . Sub-optimal Risk-sensitive Filtering for Third Degree Polynomial Stochastic Systems . ICIC Express Letters , 2 : 371 – 377 .
   Google Scholar
• Alcorta , MA , Basin , M and Sanchez , YGA . 2009 . Risk-sensitive Approach to Optimal Filtering and Control for Linear Stochastic Systems . International Journal of Innovative Computing, Information and Control , 5 : 1599 – 1614 .
   Web of Science ®Google Scholar
• Angeli , D , Sontag , ED and Wang , Y . 2000 . A Characterization of Integral Input-to-state Stability . IEEE Transactions on Automatic Control , 45 : 1082 – 1097 .
   Web of Science ®Google Scholar
• Deng , H , Krstić , M and Williams , RJ . 2001 . Stabilization of Stochastic Nonlinear Systems Driven by Noise of Unknown Covariance . IEEE Transactions on Automatic Control , 46 : 1237 – 1253 .
   Web of Science ®Google Scholar
• Ito , H . 2006 . State-dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems . IEEE Transactions on Automatic Control , 51 : 1626 – 1643 .
   Web of Science ®Google Scholar
• Ito , H . 2010 . A Lyapunov Approach to Cascade Interconnection of Integral Input-to-state Stable Systems . IEEE Transactions on Automatic Control , 55 : 702 – 708 .
   Web of Science ®Google Scholar
• Ito , H and Jiang , ZP . 2009 . Necessary and Sufficient Small Gain Conditions for Integral Input-to-state Stable Systems: A Lyapunov Perspective . IEEE Transactions on Automatic Control , 54 : 2389 – 2404 .
   Web of Science ®Google Scholar
• Jiang , ZP , Mareels , I , Hill , DJ and Huang , J . 2004 . A Unifying Framework for Global Regulation via Nonlinear Output Feedback: from ISS to iISS . IEEE Transactions on Automatic Control , 49 : 549 – 562 .
   Web of Science ®Google Scholar
• Karatzas , I and Shreve , SE . 1991 . Brownian Motion and Stochastic Calculus, , 2nd , New York : Springer .
   Google Scholar
• Khas'minskii , RZ . 1980 . Stochastic Stability of Differential Equations , Norwell, MA : Kluwer Academic Publishers .
   Google Scholar
• Khalil , HK . 2002 . Nonlinear Systems, , 3rd , New Jersey : Prentice-Hall .
   Google Scholar
• Krstić , M and Deng , H . 1998 . Stabilization of Uncertain Nonlinear Systems , New York : Springer .
   Google Scholar
• Li , WQ , Jing , YW and Zhang , SY . 2010 . Output-feedback Stabilization for Stochastic Nonlinear Systems Whose Linearizations are not Stabilizable . Automatica , 46 : 752 – 760 .
   Web of Science ®Google Scholar
• Li , WQ and Xie , XJ . 2009 . Inverse Optimal Stabilization for Stochastic Nonlinear Systems whose Linearizations are not Stabilizable . Automatica , 45 : 498 – 503 .
   Web of Science ®Google Scholar
• Liu , SJ , Jiang , ZP and Zhang , JF . 2008 . Global Output-feedback Stabilization for a Class of Stochastic Non-minimum-phase Nonlinear Systems . Automatica , 44 : 1944 – 1957 .
   Web of Science ®Google Scholar
• Liu , Y and Wang , W . 2009 . Fuzzy H ∞ Filtering for Nonlinear Stochastic Systems with Missing Measurements . ICIC Express Letters , 3 : 739 – 744 .
   Google Scholar
• Liu , SJ and Zhang , JF . 2008 . Output-feedback Control of a Class of Stochastic Nonlinear Systems with Linearly Bounded Unmeasurable States . International Journal of Robust and Nonlinear Control , 18 : 665 – 687 .
   Web of Science ®Google Scholar
• Liu , SJ , Zhang , JF and Jiang , ZP . 2007 . Decentralized Adaptive Output-feedback Stabilization for Large-scale Stochastic Nonlinear Systems . Automatica , 43 : 238 – 251 .
   Web of Science ®Google Scholar
• Mavelli , G and Palumbo , P . 2010 . The Carleman Approximation Approach to Solve a Stochastic Nonlinear Control Problem . IEEE Transactions on Automatic Control , 55 : 976 – 982 .
   Web of Science ®Google Scholar
• Sontag , ED . 1989 . Smooth Stabilization Implies Coprime Factorization . IEEE Transactions on Automatic Control , 34 : 435 – 443 .
   Web of Science ®Google Scholar
• Sontag , ED . 1998 . Comments on Integral Variants of ISS . Systems and Control Letters , 34 : 93 – 100 .
   Web of Science ®Google Scholar
• Spiliotis , J and Tsinias , J . 2003 . Notions of Exponential Robust Stochastic Stability, ISS and their Lyapunov Characterizations . International Journal of Robust and Nonlinear Control , 13 : 173 – 187 .
   Web of Science ®Google Scholar
• Tang , C and Basar , T . (2001), ‘Stochastic Stability of Singularly Perturbed Nonlinear Systems’, in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, USA, pp. 399–404
   Google Scholar
• Tsinias , J . 1998 . Stochastic ISS and Applications to Global Feedback Stabilization . International Journal of Control , 71 : 907 – 930 .
   Web of Science ®Google Scholar
• Tsinias , J . 1999 . The Concept of ‘Exponential Input to State Stability’ for Stochastic Systems and Applications to Feedback Stabilization . Systems and Control Letters , 36 : 221 – 229 .
   Web of Science ®Google Scholar
• Wu , ZJ , Xie , XJ and Zhang , SY . 2006 . Stochastic Adaptive Backstepping Controller Design by Introducing Dynamic Signal and Changing Supply Function . International Journal of Control , 79 : 1635 – 1646 .
   Web of Science ®Google Scholar
• Wu , ZJ , Xie , XJ and Zhang , SY . 2007 . Adaptive Backstepping Controller Design using Stochastic Small-gain Theorem . Automatica , 43 : 608 – 620 .
   Web of Science ®Google Scholar
• Wu , LG and Ho , DWC . 2010 . Sliding Mode Control of Singular Stochastic Hybrid Systems . Automatica , 46 : 543 – 548 .
   Web of Science ®Google Scholar
• Xie , XJ and Tian , J . 2007 . State-feedback Stabilization for High-order Stochastic Nonlinear Systems with Stochastic Inverse Dynamics . International Journal of Robust and Nonlinear Control , 17 : 1343 – 1362 .
   Web of Science ®Google Scholar
• Xie , XJ and Duan , N . 2010 . Output Tracking of High-order Stochastic Nonlinear Systems with Application to Benchmark Mechanical System . IEEE Transactions on Automatic Control , 55 : 1197 – 1202 .
   Web of Science ®Google Scholar
• Yu , X and Xie , XJ . 2010 . Output Feedback Regulation of Stochastic Nonlinear Systems with Stochastic iISS Inverse Dynamics . IEEE Transactions on Automatic Control , 55 : 304 – 320 .
   Web of Science ®Google Scholar