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In a neighborhood of the origin, the controller is formulated as an LQR based on a model obtained by linearizing the original model at the origin.
Sufficient conditions are established which guarantee that the controller that renders the origin to be asymptotically stable for the approximate model also stabilizes the exact discrete-time model for sufficiently small integration and/or sampling parameters.
Sufficient conditions are established which guarantee that the controller that renders the origin to be asymptotically stable for the approximate model also stabilizes the exact discrete-time model for sufficiently small sampling parameters.
In the closed-loop system, including the observer and nonlinear controller, trajectory control of the output is accomplished and the state vector asymptotically converges to the origin.
Input strictly passive feedback controllers render the origins of the passive error dynamics to be globally asymptotically stable.
It is shown that the controller designed ensures the original system state converges to the origin whereas all the other closed-loop system states are bounded.
Using the perturbed energy method, we design feedback controllers and prove that the particles under the designed control move to the origin exponentially.
We can design a nonlinear feedback controller to make the controlled system be stabilized at origin and two Genesio systems be synchronized.
Simulation results show that the proposed controller effectively regulate the response to origin in state space even under saturated controller input.
It is shown that using the proposed secure observer-based controller, the states of the original plant converge to a small neighborhood of the origin despite attacks.
The resulting nonlinear controllers are locally asymptotically stabilizing the origin.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com