It is, of course, well known that the usual output stabilization problem, asking about the existence of a constant feedback gain that stabilizes the system, does not have a especially clean answer. Here we describe an alternative version involving the existence of time-varying gains. The problem is this.
- Stabilization Problem
- SIAM Journal
- Constant Matrice
- Clean Answer
- Invertible Matrix
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R. W. Brockett, “System Theory on Group Manifolds and Coset Spaces,” SIAM Journal on Control Optim., Vol. 10 (1972) pp. 265–284.
J. Rosenthal, “On dynamic feedback compensation and compactification of systems,” SIAM Journal on Control Optim., Vol. 32 (1994) pp. 279–296.
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© 1999 Springer-Verlag London Limited
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Brockett, R. (1999). A stabilization problem. In: Blondel, V., Sontag, E.D., Vidyasagar, M., Willems, J.C. (eds) Open Problems in Mathematical Systems and Control Theory. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0807-8_16
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1207-5
Online ISBN: 978-1-4471-0807-8
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