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In this paper, a hybrid controller design for a continuous-time linear time-invariant (LTI) plant is presented. The idea is to simultaneously design the flow and jump maps with the respective sets of the controller, guaranteeing ℌ∞ specifications and decay rate of the plant state of the hybrid closed-loop system. A convex LMI-based design procedure is proposed, generalizing the results in [22].
In earlier works, global inverse optimal controllers were proposed for input affine nonlinear systems with given control Lyapunov functions. However, these controllers do not provide information about the convergence rates. If the systems have local homogeneous approximations, we can employ homogeneous controllers, which locally asymptotically stabilize the origin and specify the convergence rates...
There are several proposed algorithms for distributed power control of wireless networks. In this article an extended algorithm including high order dynamics is discussed and sufficient conditions for stability are derived. The stability analysis is first made using analysis in linear scale and then with logarithmized variables in a control theoretic approach, using both input-output and Lyapunov...
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