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The authors study the stabilisation problem of switched linear systems with sampled and quantised output feedback. They assume that every mode of the plant is stabilisable and observable and that a feedback gain is given for each mode. The controller receives the information about the active mode of the plant only at each sampling instant. Therefore, the controller mode may not synchronise with the...
We study optimal control for sampled-data systems with stochastic delays. Assuming that the delays can be modeled by a Markov chain and can be measured by controllers, we design a control law that minimizes an infinite-horizon continuous-time quadratic cost function. The resulting optimal control law can be efficiently computed offline by the iteration of a certain Riccati difference equation. We...
In this paper, we analyze the L2-gain of a class of switched linear systems under sampled-data state-feedback control. We consider switched linear systems whose switching signal is a regenerative process. Using the lifting approach and piecewise-constant approximations, we derive a sequence whose limit inferior upper-bounds the L2-gain of the closed-loop system. Each term of the sequence can be found...
We address the problem of state estimation for multi-output continuous-time linear systems, for which an attacker may have control over some of the sensors and inject (potentially unbounded) additive noise into some of the measured outputs. To characterize the resilience of a system against such sensor attacks, we introduce a new notion of observability — termed “observability under attacks” — that...
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