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Showing 1 to 10 of 10 for “"Pontryagin's Maximum Principle"”.
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Optimal control problems, curves of pursuit
… control problems. After describing the two main principles to study optimal control problems, namely Pontryagin's maximum principle and Bellman's method of dynamic programming, this thesis focuses on specific examples of PE problems within the classes of pursuit problems, evasion problems, and …
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Aplicação de técnicas de controle a sistemas de produção
… to dynamic models of production systems. Pontryagin's maximum principle is used. Some interpretatios are given and some applications of the maximum principle to Industrial Dynamics models are made. It is verified the great amount of difficulties one has in applying optimal control …
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Optimal control problems on lie groups with symmetry breaking cost functions
… control systems that evolve on Lie groups. Pontryagin's maximum principle allows us to search for local solutions of the optimal control problem by studying an associated Hamiltonian dynamical system. When the associated Hamiltonian function possess symmetries, we can often study the …
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Mathematical modeling of infectious diseases
… The optimal controls are found by using the Pontryagin's Maximum Principle. We also formulated an ODE optimal control model to describe the dynamics of dengue-infected humans when Wolbachia-infected mosquitoes are introduced in the wild along with efforts on educational campaigns to motivate …
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Optimal Control of Weakly Forced Nonlinear Oscillators
… by the use of an external stimulus: control). Pontryagin's maximum principle is employed to derive optimal controls that lead to desired spiking times of a neuron oscillator, which include minimum-power and time-optimal controls. In particular, we consider practical constraints in such optimal …
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Optimal control of fed-batch fermentation processes
… typically uses the calculus of variations or Pontryagin's maximum principle to determine an optimal feed rate profile. This often results in a singular control problem and an open loop control structure. The singular feed rate is the optimal feed rate during the singular control period and is …
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Dynamic hedging in illiquid financial markets
… of a convex analytic approach along the lines of Pontryagin's maximum principle instead of the more common dynamic programming methods. From a financial point of view, our results allow for an intuitively appealing interpretation and yield sensible hedging strategies in illiquid markets. In the …
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The development of a real-time wave energy device control algorithm based on artificial neural network
… time instants following the control command. The Pontryagin's maximum principle is applied to derive the control command, which maximizes the energy absorption over a time horizon [ti, ti+p]. By receding the time horizon forward step by step, the control command is updated at each time instant and …
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Information spread in networks: games, optimal control, and stabilization
… Although the canonical equations provided by the Pontryagin's Maximum Principle (MP) seem to be intractable, we provide an alternative characterization for the optimal strategies that makes connection to potential theory. Further, we provide a sufficient condition for the existence of a …
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Using Optimal Control Theory to Optimize the Use of Oxygen Therapy in Chronic Wound Healing
<p>Approximately 2 to 3 million people in the United States suffer from chronic wounds, which are defined as wounds that do not heal in 30 days time; an estimated $25 billion per year is spent on their treatment in the United States. In our work, we focused on treating chronic wounds with bacterial …