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We consider a mean field game among a large population of noncooperative agents divided into two categories: leaders and followers. Each agent is subject to heterogeneous convex constraints and minimizes a quadratic cost function; the cost of each leader is affected by the leaders' aggregate strategy, while the cost of each follower is affected by both the leaders' and followers' aggregate strategy...
A novel positioning concept for high-speed scanning probe microscopy is presented in which a dual-stage nanopositioner is used for precise positioning over large areas at high speeds. The nanopositioner combines a low-bandwidth, large-range commercial scanner with a custom-designed high-speed scanner for short-range positioning. We present the mechanical design, finite element simulations and experimental...
We study the stability of a class of networked control systems with hard bounds on the control authority. The plant dynamics are discrete-time, linear, and time-invariant, with stochastic process noise and measurement noise. The controller is designed as a norm-bounded causal history-dependent function of the past outputs perturbed by bounded noise. The resulting control signals are assumed to be...
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