Persistency of excitation in possible unstable continuous-time systems, identification, and indirect adaptive control

The author proves persistency of excitation of the output of an output-reachable, possibly unstable linear system under certain input conditions, and applies this result to adaptive identification and indirect adaptive control. In adaptive identification, he proves exponential parameter convergence regardless of stability of the identified plant. In indirect adaptive control he proves exponential parameter convergence along with asymptotic time invariance and global experimental stability of the controlled closed-loop system.<
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