Optimal control of LTI systems over unreliable communication links
Automatica (Journal of IFAC)
Limited-information control of hybrid systems via reachable set propagation
Proceedings of the 16th international conference on Hybrid systems: computation and control
Finite data-rate feedback stabilization of switched and hybrid linear systems
Automatica (Journal of IFAC)
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In this paper, we study the second order stabilization problem of Markovian jump linear systems (MJLSs) with logarithmically quantized state feedbacks. We give explicit constructions of the stabilizing logarithmic quantizer and controller. We also present a semi-convex way to determine the coarsest stabilizing quantization density. In addition, we show that the problem of stabilizing a linear time-invariant (LTI) system over a lossy channel can be viewed as a special example of the framework developed here. A contribution of the work is a simultaneous treatment of finite bandwidth constraints (logarithmic quantization) and latency in feedback channels.