Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 42, pp. 1-12.

Title: Controllability of semilinear matrix Lyapunov systems
        
Authors: Bhaskar Dubey (Indian Inst. of Space Science, Thiruvananthapuram, India)
         Raju K. George (Indian Inst. of Space Science, Thiruvananthapuram, India)
        
Abstract:
 In this article, we establish some sufficient conditions for the complete
 controllability of  semilinear matrix Lyapunov systems involving Lipschitzian
 and non-Lipschitzian nonlinearities.  In case of non-Lipschitzian 
 nonlinearities, we assume that nonlinearities are of monotone type.

Submitted September 24, 2012. Published February 06, 2013.
Math Subject Classifications: 49K15, 93C15, 93C10, 93B05, 47H05.
Key Words: Controllability; matrix Lyapunov systems;
           monotone nonlinearities; Lipschitzian nonlinearities.