Electrical and Electronic Engineering - Research Publications

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Start date: 2012 × End date: 2012 × Type: Conference Paper × Author: Nesic, Dragan × Author: Wang, Wei ×

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    Averaging in singularly perturbed hybrid systems with hybrid boundary layer systems
    Wang, W ; Teel, AR ; Nesic, D (IEEE, 2012-01-01)
    We analyze a class of singularly perturbed hybrid systems based on two auxiliary hybrid systems: the averaged system, which approximates the slow dynamics, and the boundary layer system, which approximates the fast dynamics. The average system is generated by averaging the solutions of the boundary layer system. The novelty of this work is that the boundary layer system is a hybrid system rather than a continuous-time system. This extends available results to cover new classes of hybrid systems. We illustrate how to apply our results through an example that is a power converter system under hybrid feedbacks implemented by pulse-width modulation (PWM).
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    Diagonal stability for a class of graphs with connected circles
    Wang, W ; Nesic, D (IEEE, 2012)
    Diagonal stability for a class of matrices having strongly connected graphs is considered, in which each pair of distinct simple circles have at most one common edge or a common vertex. We apply the obtained results to analyze stability of a class of nonlinear dynamical networked systems, for which each subsystem is output strictly passive and the storage function is available. We show that diagonal stability of the dissipativity matrix that includes the information of interconnection structure of subsystems implies that the sum of weighted storage functions is a storage Lyapunov function for this class of networks.