Array sensing is increasingly important in the development of microcantilever(MC) sensors, and response consistency is the foundation for MC array sensing. In the present work, we investigated the response consistency...Array sensing is increasingly important in the development of microcantilever(MC) sensors, and response consistency is the foundation for MC array sensing. In the present work, we investigated the response consistency of MC array sensing. The responses of two types of commercially available MC arrays were studied under conditions of temperature change, solution replacement and biochemical molecular interaction. For the thermal response, the deflections of both arrays were found to be proportional to temperature, and the responses of the MCs in both arrays were consistent with each other. The thermal response sensitivity for each MC during temperature increase and decrease also showed good consistency. Moreover, the MC array showed good consistency for the response induced by solution replacement. Finally, we also demonstrated that the MC array had good consistency in biochemical detection, exemplified by aflatoxin antibody-anti gen binding. The good response consistency makes this technology reliable and accurate for biochemical sensing.展开更多
This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral...This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral-derivative(PID for short) boundary control is addressed. In the proportional-integral(PI for short) controller case, by spectral analysis, the authors provide a complete characterization of the set of stabilizing feedback parameters, and determine the corresponding time delay stability interval. Moreover, the stability of the equilibrium is discussed by Lyapunov function techniques, and by this approach the exponential stability when a damping term is added to the classical PI controller scheme is proved. Also, based on Pontryagin results on stability for quasipolynomials, it is shown that the closed-loop system sub ject to PID control is always unstable.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11502265)the Fundamental Research Funds for the Central Universities(Grant No.WK2480000002)
文摘Array sensing is increasingly important in the development of microcantilever(MC) sensors, and response consistency is the foundation for MC array sensing. In the present work, we investigated the response consistency of MC array sensing. The responses of two types of commercially available MC arrays were studied under conditions of temperature change, solution replacement and biochemical molecular interaction. For the thermal response, the deflections of both arrays were found to be proportional to temperature, and the responses of the MCs in both arrays were consistent with each other. The thermal response sensitivity for each MC during temperature increase and decrease also showed good consistency. Moreover, the MC array showed good consistency for the response induced by solution replacement. Finally, we also demonstrated that the MC array had good consistency in biochemical detection, exemplified by aflatoxin antibody-anti gen binding. The good response consistency makes this technology reliable and accurate for biochemical sensing.
基金supported by the ERC Advanced Grant 266907(CPDENL)of the 7th Research Framework Programme(FP7)FIRST,Initial Training Network of the European Commission(No.238702)PITNGA-2009-238702
文摘This paper deals with a scalar conservation law in 1-D space dimension, and in particular, the focus is on the stability analysis for such an equation. The problem of feedback stabilization under proportional-integral-derivative(PID for short) boundary control is addressed. In the proportional-integral(PI for short) controller case, by spectral analysis, the authors provide a complete characterization of the set of stabilizing feedback parameters, and determine the corresponding time delay stability interval. Moreover, the stability of the equilibrium is discussed by Lyapunov function techniques, and by this approach the exponential stability when a damping term is added to the classical PI controller scheme is proved. Also, based on Pontryagin results on stability for quasipolynomials, it is shown that the closed-loop system sub ject to PID control is always unstable.
