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This paper is concerned with the stability issue of discrete-time periodic positive systems with constant delays. First, a necessary and sufficient condition is proposed which tests whether or not a periodic system is positive. Then, another necessary and sufficient stability criterion is established which tests the asymptotic stability of periodic positive system with delays. It is well-known that...
ECOFRAME is a WDM optical packet ring that offers optical transparency and WDM statistical multiplexing and is a promising solution for the future metropolitan area networks. The optimal design of ECOFRAME ring requires the planning of the resources, i.e., wavelengths and receivers. However, the packet-nature of the ring requires a verification of the stability of the design, i.e., that the queueing...
This paper addresses stability of discrete-time positive systems with unbounded delays, and shows that such a system is asymptotically stable if the sum of its system matrices is a Schur matrix.
This paper addresses stability analysis and controller design for discrete-time positive systems with multiple delays. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. The contribution lies in two aspects. First, a set of necessary and sufficient stability conditions is established for delayed discrete-time positive...
This paper addresses controller design for discrete-time positive systems with multiple delays. The control is under positivity boundedness constraints, which means that the resulting closed-loop systems are not only stable, but also positive and bounded by a given boundary, if the initial condition is bounded. The contribution lies in two aspects. First, two necessary and sufficient conditions are...
This paper addresses stability analysis and controller design for discrete-time positive systems with multiple delays. The control is under positivity constraint, which means that the resulting closed-loop systems are not only stable, but also positive. The contribution lies in two aspects. First, a set of necessary and sufficient stability conditions is established for delayed discrete-time positive...
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