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This paper deals with the mean square stabilization problem for multi-input networked systems via single packet or multiple packets transmission, where the unreliability of input channels is modeled by a multiplicative white noise. For the single packet case, the critical value (lower bound) of mean square capacity for ensuring mean square stabilization is given by adopting the bisection technique...
This paper investigates the optimality of the logarithmic quantizer on stabilization of linear systems. It is shown that a finite-level logarithmic quantizer can asymptotically achieve the well-known minimum average data rate for stabilizing an unstable MIMO linear discrete-time system. A time-sharing protocol is proposed to allocate bits to subsystems, each associated with an unstable eigenvalue...
This paper addresses the quantized stabilization problem for single-input Markov jump systems. Mode-dependent and mode-independent quadratic control Lyapunov functions based on the availability of mode information at controller/quantizer are considered for the quantized feedback. Similar to the linear time-invariant case, it is shown that a mode-dependent (respectively, mode-independent) logarithmic...
We consider the problem of state estimation of a discrete time process over an unreliable communication network. Most previous work in literature focus on either quantization effect or packet drops or delays, with a few work considering those uncertainties simultaneously. In this paper, we first present two quantized filter design methods based on a logarithmic quantizer. The first method characterizes...
This paper is concerned with consensus control of undirected networks of discrete time first order agents under quantized communication. A distributed protocol is proposed based on dynamic encoding and decoding with finite level uniform quantizers. It is shown that under the protocol designed, for a connected network, average-consensus can be achieved with an exponential convergence rate based on...
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