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- W176927291 abstract "OF THE DISSERTATION Optimal Control of Weakly Forced Nonlinear Oscillators by Isuru Sammana Dasanayake Doctor of Philosophy in Electrical Engineering Washington University in St. Louis, 2013 Research Advisor: Professor Jr-Shin Li Optimal control of nonlinear oscillatory systems poses numerous theoretical and computational challenges. Motivated by applications in neuroscience, we develop tools and methods to synthesize optimal controls for nonlinear oscillators described by reduced order dynamical systems. Control of neural oscillations by external stimuli has a broad range of applications, ranging from design of oscillatory neurocomputers to deep brain stimulation for Parkinsons disease. In this dissertation, we investigate fundamental limits on how neuron spiking behavior can be altered by the use of an external stimulus (control). Pontryagins 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 control designs including a bound on the control amplitude and the charge-balance constraint. The latter is important in neural stimulations used to avoid from the undesirable effects caused by accumulation of electric charge due to external stimuli. Furthermore, we extend the results in controlling a single neuron and" @default.
- W176927291 created "2016-06-24" @default.
- W176927291 creator A5062568340 @default.
- W176927291 date "2013-01-01" @default.
- W176927291 modified "2023-09-25" @default.
- W176927291 title "Optimal Control of Weakly Forced Nonlinear Oscillators" @default.
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