@article {PB04-rendi,
	title = {Control synthesis for practical stabilization of quantized linear systems},
	journal = {Rend. Sem. Mat. Univ. Pol. Torino, Control Theory and Stabil., I},
	volume = {63},
	number = {4},
	year = {2005},
	pages = {397{\textendash}410},
	abstract = {<p>In this work we face the stability problem for quantized control systems (QCS). A discrete{\textendash}time single{\textendash}input linear model is considered and, motivated by technological applications, we assume that a uniform quantization of the control set is a priori fixed. As it is well known, for QCS only practical stability properties can be achieved, therefore we focus on the existence and construction of quantized controllers capable of steering a system to within invariant neighborhoods of the equilibrium. The main contribution of the paper consists in a theorem which provides a condition for the practical stabilization in a fixed number of steps: not only the result is interesting in itself, but also it enables to construct a family of stabilizing controllers by means of Model Predictive Control (MPC) techniques. In the last part of the paper some results on the characterization of controlled{\textendash}invariant sets are reviewed and a lower bound on the size of invariant sets is provided.</p>
},
	keywords = {Embedded Control, Robotics},
	author = {B. Picasso and A. Bicchi}
}
