期刊文献+

On controllability for a class of second order semilinear stochastic systems

原文传递
导出
摘要 Many dynamical systems are modeled as second order differential systems.In this paper we address the problem of controllability for second order semilinear stochastic systems in finite dimensional spaces.Sufficient criteria for the complete controllability are formulated under some appropriate assumptions.The results are obtained by using the Banach fixed point theorem.Finally an illustrative example is provided.
出处 《Journal of Control and Decision》 EI 2016年第4期211-222,共12页 控制与决策学报(英文)
基金 supported by the University Grants Commission F.510/7/DRS-1/2016(SAP-I) supported by the National Research Foundation of Korea NRF-2013R1A1A2A10006693.
  • 相关文献

参考文献1

二级参考文献35

  • 1Sobczyk K, Stochastic Differential Equations, Vol. 40 (East European Series), Kluwer Academic, Dordrecht, The Netherlands, 1991.
  • 2Oksendal B, Stochastic Differential Equations: An Introduction with Applications, SpringerVerlag, 1995.
  • 3Mahmudov N I and McKibben M A, Abstract second-order damped McKean- Vlasov stochastic evolution equations, Stochastic Anal. Appl., 2006, 24: 303-328.
  • 4Klamka J, Stochastic controllability and minimum energy control of systems with multiple delays in control, Appl. Math. Comput., 2008, 206: 704-715.
  • 5Sakthivel R, Nieto J J, and Mahmudov N I, Approximate controllability of nonlinear deterministic and stochastic systems with unbouned delay, Taiwan Residents J. Math., 2010, 14: 1777-1797.
  • 6Ren Y, Zhou Q, and Chen L, Existence, uniqueness and stability of mild solutions for timedependent stochastic evolution equations with Poisson jumps and infinite delay, J. Optim. Theory Appl., 2011, 149: 315-33l.
  • 7Curtain R F and Zwart H J, An Introduction to Infinite Dimensional Linear Systems Theory, Springer-Verlag, New York, 1995.
  • 8Pazy A, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983.
  • 9Triggiani R, A note on the lack of exact controllability for mild solutions in Banach spaces, SIAM J. Control Optim., 1977, 15: 407-411.
  • 10Klamka J, Stochastic controllability of linear systems with delay in control, Bulletin of the Polish Academy of Sciences, Technical Sciences, 2007, 55: 23-29.

共引文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部