Abstract
In this chapter, we study stabilization of multi-input networked control systems over additive white Gaussian noise (AWGN) channels. Different from the single-input case, which is available in the literature and boils down to a typical H2 optimal control problem, the multi-input case involves a judicious allocation of the total capacity among the input channels in addition to the design of the feedback con- troller. With this channel-controller codesign, we successfully show that a net- worked multi-input system over AWGN channels can be stabilized by state feedback under channel resource allocation, if and only if the total channel capacity is greater than the topological entropy of the plant. A numerical example is given to demonstrate our result.
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