Discontinuous Dynamical Systems
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چکیده
Discontinuous dynamical systems arise in a large number of applications. In optimal control problems, open-loop bang-bang controllers switch discontinuously between extremum values of the bounded inputs to generate minimum-time trajectories from one state to another. Thermostats implement closed-loop bang-bang controllers to regulate room temperature. In nonsmooth mechanics, the evolution of rigid bodies is subject to velocity jumps and force discontinuities as a result of friction and impacts. The robotic manipulation of objects with mechanical contacts or the motion of vehicles in land, aerial and underwater terrains are yet two more examples where discontinuities naturally occur from the interaction with the environment.
منابع مشابه
Communications in Applied Analysis 18 (2014) 455–522 NONLINEAR DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES: FILIPPOV SOLUTIONS, NONSMOOTH STABILITY AND DISSIPATIVITY THEORY, AND OPTIMAL DISCONTINUOUS FEEDBACK CONTROL
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