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            <idno type="halRefHtml">&lt;i&gt;International Journal of Robust and Nonlinear Control&lt;/i&gt;, 2018, 28 (13), pp.4045 - 4057. &lt;a target="_blank" href="https://dx.doi.org/10.1002/rnc.4120"&gt;&amp;#x27E8;10.1002/rnc.4120&amp;#x27E9;&lt;/a&gt;</idno>
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                    <forename type="first">Pedro L.D.</forename>
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              <p>This paper is devoted to the problem of computing control laws for the stabilization of continuous‐time linear time‐varying systems. First, a necessary and sufficient condition to assess the stability of a linear time‐varying system based on the norm of the transition matrix computed over a sequence of successive finite‐time intervals is proposed. A link with a stability condition for an equivalent discrete‐time model is also established. Then, 3 approaches for the computation of stabilizing state‐feedback gains are proposed: a continuous‐time technique, ie, directly derived from the stability condition, not suitable for numerical implementation; a method based on the stabilization of the discrete‐time equivalent model along with a transformation to generate the desired continuous‐time gain; and the computation of stabilizing gains for a set of periodic discrete‐time systems. Finally, by adapting one of the existing methods for the stabilization of periodic discrete‐time systems, an algorithm for the computation of a stabilizing state‐feedback continuous‐time gain is proposed. A numerical example illustrates the validity of the technique.</p>
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