Stabilization and Optimal Control of Nonlinear Systems Homogeneous-in-the-Input
Stabilizing and control strategies are presented for nonlinear and bilinear systems -which are homogeneous-In-the-input. For this class of systems It Is demonstrated that nonlinear controllers can be synthesized, which optimize a wide variety of performance criteria. These controllers produce asymptotic stability also in the interesting cases in which constant controllers fail to stabilize the systems. Extensions to non-homogeneous systems are given.
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