Electrical and Electronic Engineering - Research Publications

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End date: 2009 × Type: Conference Paper × Author: Nesic, Dragan × Author: LAILA, DINA SHONA × Start date: 2000 ×

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    Changing supply rates for input-output to STA testable discrete-time systems
    LAILA, DS ; NESIC, D (Elsevier Science, 2002)
    We present results on changing supply rates for input-output to state stable (IOSS) discrete-time nonlinear systems. Our results can be used to combine two Lyapunov functions, none of which can be used to verify that the system has a certain property, into a new Lyapunov function from which the property of interest can be concluded.We present several applications of our results to discrete-time systems such as a l_a Lasalle criteria for input to state stability (ISS) and input to state stability with positive semide_nite Lyapunov functions.
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    Lyapunov based small-gain theorem for parameterized discrete-time interconnected ISS systems
    Laila, DS ; Nesic, D (IEEE, 2002)
    Input-to-state stability (ISS) of a feedback interconnection of two discrete-time ISS systems satisfying an appropriate small gain condition is investigated via the Lyapunov method. In particular, an ISS Lyapunov function for the overall system is constructed from the ISS Lyapunov functions of the two subsystems. We consider parameterized families of discrete-time systems that naturally arise when an approximate discrete-time model is used to design a controller for a sampled-data system.
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    Input-to-state stabilization for nonlinear sampled-data systems via approximate discrete-time plant models
    Nesic, D ; Laila, DS (IEEE, 2001)
    We provide a framework for the design of L∞ stabilizing controllers via approximate discrete-time models for sampled-data nonlinear systems with disturbances. In particular, we present sufficient conditions that guarantee that a discrete-time controller that input-to-state stabilizes an approximate discrete-time model of a nonlinear continuous-time plant with disturbances would also input-to-state stabilize (in an appropriate sense) the exact discrete-time plant model.
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    A note on preservation of dissipation inequalities under sampling: the dynamic feedback case
    Laila, DS ; Nesic, D (IEEE, 2001)
    We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. Several results on preservation of general dissipation inequalities under sampling are presented. We consider general dynamic feedback controllers case, which generalizes results for static controllers in [8].