Institute for Systems Research

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Author: search.filters.author.Shayman, Mark A.Subject: search.filters.subject.stability

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    Stability of Wireless Networks for Mode S Radar
    (2000) Chawla, Jay P.; Marcus, Steven I.; Shayman, Mark A.; Shayman, Mark; Marcus, Steven; ISR
    Stability issues in a connectionless, one-hop queueing system featuringservers with overlapping service regions (e.g. a Mode Select (Mode S) Radarcommunications network or part of an Aeronautical Telecommunications Network (ATN) network) are considered, and a stabilizing policy is determined in closed-loop form. The cases of queues at the sources (aircraft) and queues at the servers (base stations) are consideredseparately. Stabilizability of the system with exponential service times and Poisson arrival rates is equivalent to the solvability of a linear program and if the system is stabilizable, a stabilizing open loop routingpolicy can be expressed in terms of the coefficients of the solution to thelinear program. We solve the linear program for the case of a single class of packets.

    The research and scientific content in this material has beenpublished under the same title in the Proceedings of the 32nd Conference onInformation Sciences and Systems; Princeton, NJ; March 1998.
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    Dynamics and Control of Constrained Nonlinear Systems with Application to Robotics
    (1991) Chen, Xiaolin; Shayman, Mark A.; ISR
    A class of nonlinear constrained dynamic systems is studied. We first characterize the constrained submanifold and the constrained dynamics without using the vector relative degree. Applying the nonlinear feedback and exact linearization techniques to constrained systems, we discuss several control problems for the constrained dynamics such as asymptotically stabilization, asymptotically tracking reference outputs. Our results for the control of constrained nonlinear systems extend previous results, which is based on linear approximation and linear feedback.