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Robust finite-time (FT) stabilization of uncertain continuous-time singular systems is of concern in this paper. By adopting a Lyapunov-like functional (LLF) and the finite-time stability (FTS) technique, the linear matrix inequality (LMI)-based conditions are derived for uncertain continuous-time singular systems to be stabilizable. Then, based on solving these LMIs, a FT H-infinite state feedback...
Existing methods in RFID systems often employ presence or absence fashion to detect the tags’ motions, so they cannot meet motion detection requirement in many applications. Our recent observations suggest that the signal strength backscattered from the tag is hypersensitive to its position, inspiring us to perceive the tag motion through its radio signal strength changes. Motion perception is not...
The Frenkel-Kontorova (FK) model describes a one-dimensional particle array of N identical particles moving on a surface. This model attracts much attention due to its broaden application in many fields. A control problem for this model proposed in many papers is how to render the average velocity of the whole system reach a commanded value. In this study, an output feedback control law is designed...
Atomic scale engines have received increasing research interests due to recent advances in nano-particle manipulation techniques. We study the model of an artificial atomic scale engine proposed by, and show numerically that the model exhibits directed motion under asymmetric particle coupling. We then conduct stability analysis of a 3-particle engine and prove that stable and unstable equilibrium...
We study the stability of coupled oscillators motivated by the Frenkel-Kontorova (FK) model. The FK model describes a chain of classical particles coupled to their neighbors and subject to a periodic on-site potential. The open-loop system of the FK model represents interconnected oscillators that have locally stable or unstable equilibrium points. We reveal the stability of the coupled system in...
The AFM system have been widely used in probing and imaging the surface property at atomic-resolution as well as measuring friction at the nanoscale. We present an analytic model of the AFM system that imitates the AFM tip as a 1D array of particles moving on a rigid substrate, and study its stability under a constant driving velocity. We reveal that both the center of the mass of the particle array...
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