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Titlebook: Submodularity in Dynamics and Control of Networked Systems; Andrew Clark,Basel Alomair,Radha Poovendran Book 2016 Springer International P

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Emerging Topics: Submodularity in Energy Systemss of submodularity to control of energy systems. Possible applications of submodularity are presented for three critical problems in power system stability, namely, voltage stability, small-signal stability, and transient stability. The focus of this chapter is on future research topics and open problems.
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Input Selection for Robustness to Noise of a random walk on the network, which is shown to be submodular. The submodular optimization framework is developed for static networks, networks with random link failures, networks with switching topologies, and networks with random mobility.
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Resilience to Link Noise Injection Attacksut set that is adaptively updated based on the adversary’s noise injection strategy. In both cases, the submodularity of the error due to link noise is exploited to develop efficient algorithms for approximating the equilibrium strategies of the network and adversary.
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