Peter Xiaoping Liu

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In this paper, by extending the well-known Jacobi and Gauss–Seidel iterations for Ax = b, we study iterative solutions of matrix equations AXB = F and generalized Sylvester matrix equations AXB + CXD = F (including the Sylvester equation AX + XB = F as a special case), and present a gradient based and a least-squares based iterative algorithms for the(More)
A version of the input-to-output stability (IOS) small gain theorem is derived for interconnections where the subsystems communicate asynchronously over multiple channels, and the communication is subject to multiple time-varying possibly unbounded communication delays. It is shown that a “multi-dimensional” version of the small gain condition guarantees(More)
This paper introduces a centralized approach to data gathering and communication for wireless sensor networks. Inspired by the social behaviors of ants, we clearly partition the work for the base station and sensor nodes according to their different functions and capabilities. A near-optimal chain is achieved by using an ant colony optimization method ruing(More)
This paper studies distributed, combined authentication and intrusion detection with data fusion in mobile ad-hoc networks (MANETs). Multimodal biometrics are deployed to work with intrusion detection systems (IDSs) to alleviate the shortcomings of unimodal biometric systems. Since each device in the network has measurement and estimation errors, more than(More)