Existence of solution to transpiration control problem.
Zhu, Guangtian, Wu, Jingang, Liang, Benzhong, Ji, Xinhua, Yang, Xueshi (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Displaying similar documents to “On stabilizability of evolution systems of partial differential equations on ℝn×[0,+∞) by time-delayed feedback controlsby time-delayed feedback controls”
Existence of solution to transpiration control problem.
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Let be a general control system; the existence of a smooth control-Lyapunov function does not imply the existence of a continuous stabilizing feedback. However, we show that it allows us to design a stabilizing feedback in the Krasovskii (or Filippov) sense. Moreover, we recall a definition of a control-Lyapunov function in the case of a nonsmooth function; it is based on Clarke’s generalized gradient. Finally, with an inedite proof we prove that the existence of this type of control-Lyapunov...