arXiv subjects

Yaxing Ma

Publications and source records attributed to Yaxing Ma.

3 recordsLinked to original sources

arXiv2026

Rapid stabilizability of infinite-dimensional control systems with time delays

In this paper, we investigate the rapid stabilizability of linear infinite-dimensional control systems with a constant time delay. Under the assumptions that the state operator generates an immediately compact semigroup and that the delay coefficient is constant, we establish two main results: (i) The presence of a time-delay term does not affect the rapid stabilizability of the control system; that is, this property depends only on the state and control operators; (ii) Static feedback is sufficient to achieve rapid stabilization of the system. Applications are also presented.

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arXiv2025

Stabilizability with bounded feedback for analytic linear control systems

In this paper, we give sufficient conditions under which linear abstract control systems for which the semigroup is analytic are stabilizable with a bounded feedback. We obtain various characterizations of that property, which extend some earlier works. We illustrate our findings with several examples.

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arXiv2022

Feedback law to stabilize linear infinite-dimensional systems

We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian operator-valued function. In the structure of the aforementioned mutated Gramian operator, we utilize the weak observability inequality in [21, 14] and borrow some idea used to construct generalized Gramian operators in [11, 23, 24]. Unlike most related works where the exact controllability is required, we only assume the above-mentioned weak observability inequality which is equivalent to the stabilizability of the system.

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