Bhaskar Dubey, Raju K. George
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 6, 2013.
Math Subject Classifications: 49K15, 93C15, 93C10, 93B05, 47H05.
Key Words: Controllability; matrix Lyapunov systems;
monotone nonlinearities; Lipschitzian nonlinearities.
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Bhaskar Dubey Department of Mathematics Indian Institute of Space Science and Technology Thiruvananthapuram, PIN 695547, India email: bhaskard@iist.ac.in |
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Raju K. George Department of Mathematics Indian Institute of Space Science and Technology Thiruvananthapuram, PIN 695547, India email: george@iist.ac.in |
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