This article surveys recent advancements in strategy designs for persistent robotic surveillance tasks, with a focus on stochastic approaches. The problem describes how mobile robots stochastically patrol a graph in a...
This article surveys recent advancements in strategy designs for persistent robotic surveillance tasks, with a focus on stochastic approaches. The problem describes how mobile robots stochastically patrol a graph in an efficient way, where the efficiency is defined with respect to relevant underlying performance metrics. We start by reviewing the basics of Markov chains, which are the primary motion models for stochastic robotic surveillance. We then discuss the two main criteria regarding the speed and unpredictability of surveillance strategies. The central objects that appear throughout the treatment are the hitting times of Markov chains, their distributions, and their expectations. We formulate various optimization problems based on the relevant metrics in different scenarios and establish their respective properties.
The global asymptotic stability of third-order relay control systems with real, nonpositive eigenvalues is related to conditions necessary for the existence of periodic solutions of such systems. By application of Pop...
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