Schwartz Inequality

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The Experts below are selected from a list of 114 Experts worldwide ranked by ideXlab platform

G S Agarwal - One of the best experts on this subject based on the ideXlab platform.

Akram Alikhani - One of the best experts on this subject based on the ideXlab platform.

Q Wang - One of the best experts on this subject based on the ideXlab platform.

  • average dwell time approach to l2 gain control synthesis of switched linear systems with time delay in detection of switching signal
    Iet Control Theory and Applications, 2009
    Co-Authors: D Xie, Q Wang
    Abstract:

    For switched linear systems with time delay in detection of switching signal, the authors investigate its L 2 gain control synthesis problem via off-line-type switched state feedback by average dwell-time approach, that is identifying an average dwell time to guarantee that switched system is exponentially stable with an L 2 gain less than chi. The authors first establish an estimation on the state transition matrix of switched systems. Then, based on this concise estimation and some famous mathematical inequalities such as Minkowski's integral Inequality and Cauchy-Schwartz Inequality, the authors prove that there exists a switched state-feedback controller such that switched system has an L 2 gain less than chi for any switching signal with average dwell time greater than a given constant. Finally, an example is given to illustrate our results. Our results complement and generalise those results given in the works of Xie and Wang, Ji et al . and Xie and Chen.

Zhengding Qiu - One of the best experts on this subject based on the ideXlab platform.

  • a comparison in handmetric between quaternion euclidean product distance and cauchy Schwartz Inequality distance
    2009 International e-Conference on Advanced Science and Technology, 2009
    Co-Authors: Di Liu, Dongmei Sun, Zhengding Qiu
    Abstract:

    This paper proposes a comparison in handmetrics between Quaternion Euclidean product distance (QEPD) and Cauchy-Schwartz Inequality distance (CSID), where "handmetrics" refers to biometrics on palmprint or finger texture. Previously, we proposed QEPD and CSID these two 2D wavelet decomposition based distances for palmprint authentication and face verification respectively. All two distances could be constructed by quaternion which was introduced for reasonable feature representation of physical significance, i.e. 4-feature parallel fusion. Simultaneously, such quaternion representation enables to avoid incompatibleness of multi-feature dimensionality of quaternion fusion. However, a comparison between two distances is seldom discussed before. Therefore, we give a comparison on both theoretical and experimental aspects for providing a conclusion which algorithm is better. From the result, we can conclude the performance of QEPD is better than CSID and finger texture is a better discriminative biometric than palmprint for QEPD or CSID.

  • a comparison between quaternion euclidean product distance and cauchy Schwartz Inequality distance
    International Conference on Future Generation Communication and Networking, 2008
    Co-Authors: Di Liu, Dongmei Sun, Zhengding Qiu
    Abstract:

    This paper proposes a comparison in handmetrics between Quaternion Euclidean product distance (QEPD) and Cauchy-Schwartz Inequality distance (CSID) , where ”handmetrics” refers to biometrics on palmprint or finger texture. Previously, we proposed QEPD [1,2] and CSID [11] these two 2D wavelet decomposition based distances for palmprint authentication and face verification respectively. All two distances could be constructed by quaternion which was introduced for reasonable feature representation of physical significance, i.e. 4-feature parallel fusion. Simultaneously, such quaternion representation enables to avoid incompatibleness of multi-feature dimensionality space for fusion. However, a comparison between two distances is seldom discussed before. Therefore, we give a comparison on experimental aspects for providing a conclusion which algorithm is better. From the result, we can conclude the performance of QEPD is better than CSID and finger texture is a better discriminative biometric than palmprint for QEPD or CSID.

Sumei Huang - One of the best experts on this subject based on the ideXlab platform.