On the stabilization of input delayed oscillators
On the stabilization of input delayed oscillators
The problem of globally asymptotically stabilizing by bounded feedback an oscillator with an arbitrary delay in the input is solved. A first solution is deduced from a general result on the global stabilization of null controllable linear systems with delay in the input through bounded control laws with a distributed term. Then it is shown through a Lyapunov analysis that the stabilization can be achieved as well when is neglected the distributed terms. It turns out that this result is intimately related to the issue of the output feedback stabilization of oscillators.
- French National Centre for Scientific Research France
- University of Technology of Compiègne France
- French Institute for Research in Computer Science and Automation France
- French Institute for Research in Computer Science and Automation France
- CENTRO DE INVESTIGACION Y DE ESTUDIOS AVANZADOS DEL INSTITUTO POLITECNICO NACIONAL Mexico
Mathematical models, Friction, Asymptotic stability, Linear control systems, Output feedback stabilization, Oscillators (electronic), Feedback, Input delayed oscillators, Null controllable system, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Lyapunov methods
Mathematical models, Friction, Asymptotic stability, Linear control systems, Output feedback stabilization, Oscillators (electronic), Feedback, Input delayed oscillators, Null controllable system, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Lyapunov methods
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