Abstract:
We consider a general class of infinite-dimensional linear systems, called regular linear systems, for which convenient representations are known to exist both in time an...Show MoreMetadata
Abstract:
We consider a general class of infinite-dimensional linear systems, called regular linear systems, for which convenient representations are known to exist both in time and in frequency domain. For this class of systems, we investigate the concepts of stabilizability and detectability, in particular, their invariance under feedback and their relationship to exponential stability. We introduce two concepts of dynamic stabilization, the first formulated as usual, with the plant and the controller connected in feedback, and the second with two feedback loops. Even for finite-dimensional systems, the second concept, stabilization with an internal loop in the controller, is more general. We argue that the more general concept is the natural one, and we derive sufficient conditions under which an observer-based stabilizing controller with an internal loop can be constructed.
Published in: IEEE Transactions on Automatic Control ( Volume: 42, Issue: 1, January 1997)
DOI: 10.1109/9.553684
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- IEEE Keywords
- Index Terms
- Stability Of System ,
- Linear System ,
- Dynamic Stability ,
- Regular Linear Systems ,
- Class Of Systems ,
- Exponential Stability ,
- Internal Loop ,
- Infinite-dimensional Systems ,
- System State ,
- State Space ,
- Transfer Function ,
- Invertible ,
- Closed-loop System ,
- Design Procedure ,
- Hilbert Space ,
- Output Function ,
- Input Function ,
- Examples Of Systems ,
- Input Space ,
- Definition Of Conditions ,
- Output Space ,
- Right-half-plane ,
- Transfer Function Of System ,
- Part Of The Proof ,
- Conditions Of Proposition ,
- Finite-dimensional Vector Space ,
- Concept Of Stability ,
- Linear Time-invariant Systems ,
- Proof Of Proposition ,
- Input Output
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Stability Of System ,
- Linear System ,
- Dynamic Stability ,
- Regular Linear Systems ,
- Class Of Systems ,
- Exponential Stability ,
- Internal Loop ,
- Infinite-dimensional Systems ,
- System State ,
- State Space ,
- Transfer Function ,
- Invertible ,
- Closed-loop System ,
- Design Procedure ,
- Hilbert Space ,
- Output Function ,
- Input Function ,
- Examples Of Systems ,
- Input Space ,
- Definition Of Conditions ,
- Output Space ,
- Right-half-plane ,
- Transfer Function Of System ,
- Part Of The Proof ,
- Conditions Of Proposition ,
- Finite-dimensional Vector Space ,
- Concept Of Stability ,
- Linear Time-invariant Systems ,
- Proof Of Proposition ,
- Input Output