Finite-time stability and stabilization of nonlinear stochastic hybrid systems☆

[1]  P. Dorato.  SHORT-TIME STABILITY IN LINEAR TIME-VARYING SYSTEMS , 1961 .

[2]  H. Kushner.  Finite time stochastic stability and the analysis of tracking systems , 1966 .

[3]  P. Dorato,et al.  Finite time stability under perturbing forces and on product spaces , 1967, IEEE Transactions on Automatic Control.

[4]  Henry D'Angelo,et al.  Linear time-varying systems : analysis and synthesis , 1970 .

[5]  P. Dorato,et al.  Numerical solution of an optimal control problem with a probability criterion , 1972 .

[6]  A. Skorokhod.  Asymptotic Methods in the Theory of Stochastic Differential Equations , 2008 .

[7]  H. Chizeck,et al.  Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control , 1990 .

[8]  A. Michel,et al.  Stability analysis of systems with impulse effects , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[9]  A. N. Michel,et al.  Stability analysis of systems with impulse effects , 1998, IEEE Trans. Autom. Control..

[10]  X. Mao.  Stability of stochastic differential equations with Markovian switching , 1999 .

[11]  H. Kushner.  Numerical Methods for Stochastic Control Problems in Continuous Time , 2000 .

[12]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[13]  Xi Chen,et al.  Solvability and asymptotic behavior of generalized Riccati equations arising in indefinite stochastic LQ controls , 2001, IEEE Trans. Autom. Control..

[14]  Zhengguo Li,et al.  Analysis and design of impulsive control systems , 2001, IEEE Trans. Autom. Control..

[15]  V. Dragan,et al.  Stability and robust stabilization to linear stochastic systems described by differential equations with markovian jumping and multiplicative white noise , 2002 .

[16]  Guangming Xie,et al.  Necessary and sufficient conditions for controllability and observability of switched impulsive control systems , 2004, IEEE Transactions on Automatic Control.

[17]  C.T. Abdallah,et al.  Finite-time stability of discrete-time nonlinear systems: analysis and design , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[18]  Tae Woong Yoon,et al.  Proceedings of the 43rd IEEE Conference on Decision and Control , 2004 .

[19]  Xuemin Shen,et al.  On hybrid impulsive and switching systems and application to nonlinear control , 2005, IEEE Transactions on Automatic Control.

[20]  Wei Lin,et al.  Global finite-time stabilization of a class of uncertain nonlinear systems , 2005, Autom..

[21]  Francesco Amato,et al.  Finite-time control of discrete-time linear systems , 2005, IEEE Transactions on Automatic Control.

[22]  J. Hespanha.  A model for stochastic hybrid systems with application to communication networks , 2005 .

[23]  P. Shi,et al.  Stochastic stability and robust control for sampled-data systems with Markovian jump parameters , 2006 .

[24]  Xie Jing.  Finite-time Stabilization of a Class of Nonlinear Systems , 2008 .