Controllability of semilinear matrix Lyapunov systems

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.

Keywords

• Controllability
• matrix Lyapunov systems
• monotone nonlinearities
• Lipschitzian nonlinearities