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Titlebook: Analysis and Design of Nonlinear Control Systems; In Honor of Alberto Alessandro Astolfi,Lorenzo Marconi Book 2008 Springer-Verlag Berlin

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The Hamilton-Jacobi Type Equations for Nonlinear Target Control and Their Approximationons in favor of their upper and lower bounds, which in many cases may suffice for solving the required problems. For systems with linear structure ellipsoidal estimates are given, which ensure accurate approximations of nonconvex reachability sets through unions of ellipsoids.
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Reduced Order Modeling of Nonlinear Control Systemsal form indicates the relative importance of the state coordinates to the input output map of the control system. Then we offer a new interpretation of linear balanced truncation and show how it can be extended to nonlinear system. Finally we offer new estimates of error between the full and reduced Hankel maps.
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