Abstract
Systems whose control inputs and observation outputs can take only discrete-level values are called quantized systems. In this paper some problems concerning reachability or observability of quantized systems are investigated for linear, finite-dimensional and discrete-time systems. A system is said to be almost reachable if reachable states are dense in the state space. The state space of a quantized control system can be decomposed into three subspaces which are discretely reachable subspace, almost reachable subspace and almost reachable in finite time subspace. The expansion behavior of reachable states of quantized control systems is illustrated by an example. Concerning observability, it is shown that there exists no universal input for quantized control system and some conditions under which any two distinct states are distinguishable from quantized outputs are obtained. Also almost reachability for the quantized bounded control system and for the system defined over Q is studied.
Published Version
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