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The author declares that she has no competing interests.
By applying some Schrödinger-type inequalities developed by Huang (Int. J. Math. 27(2):1650009, 2016), we are concerned with stabilization of discrete linear systems associated with the Schrödinger operator. Our first aim is to prove a state-dependent switching law associated with the Schrödinger operator, which is based on a convex combination. Next, we derive sufficient conditions associated with the Schrödinger operator that guarantee the uniform exponential stability of the system. Finally, we propose a necessary and sufficient condition for the stability of a system with two Schrödinger subsystems.
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- Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator
- Springer International Publishing
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