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math.OC2007
Global optimal control of perturbed systems
Lars Grüne, Oliver Junge
We propose a new numerical method for the computation of the optimal value function of perturbed control systems and associated globally stabilizing optimal feedback controllers. T…
math.OC1998
Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes
Lars Grüne, Eduardo D. Sontag, Fabian R. Wirth
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a sui…