Exact null-controllability of interconnected abstract evolution equations with unbounded input operators

Abstract

<p style='text-indent:20px;'>The exact null-controllability problem in the class of smooth controls with applications to interconnected systems was considered in [<xref ref-type="bibr" rid="b23">23</xref>] for the case of bounded input operators appearing in systems with distributed controls. The current paper constitutes an extension of the [<xref ref-type="bibr" rid="b23">23</xref>] for the case of unbounded input operators (with more emphasis on the controllability of interconnected systems). The proofs of the results of [<xref ref-type="bibr" rid="b23">23</xref>] for the case of bounded input operators are adopted for the case of unbounded input operators.</p>

Exact null controllability for semilinear differential equations with nonlocal conditions in Hilbert spaces

“…Exact controllability enables us to steer the system to arbitrary final state while exact null controllability means that the system can be steered to zero state; see, e.g., [4,6,10,11,16]. Balachandran et al [4] obtained the local null controllability for nonlinear functional differential systems.…”