Dissipativity based H∞ control for nonlinear stochastic systems with time-varying delays

2011 ◽  
Author(s):  
Huiping Li ◽  
Yang Shi
Keyword(s):  
Stochastic Systems ◽  
Time Varying ◽  
Nonlinear Stochastic Systems

scholarly journals Controllability of nonlinear stochastic systems with multiple time-varying delays in control

2015 ◽  
Vol 25 (2) ◽  
pp. 207-215 ◽  
Author(s):  
Shanmugasundaram Karthikeyan ◽  
Krishnan Balachandran ◽  
Murugesan Sathya
Keyword(s):  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Banach Fixed Point Theorem ◽  
Multiple Delays ◽  
Multiple Time ◽  
Time Varying ◽  
Nonlinear Stochastic Systems ◽  
Finite Dimensional ◽  
Linear Stochastic Systems ◽  
Theoretical Results

AbstractThis paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of fractional dynamical systems.

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