Trading the stability of finite zeros for global stabilization ofnonlinear cascade systems
Sepulchre, R.; Arcak, M.; Teel, A.R.
Automatic Control, IEEE Transactions on
Volume 47, Issue 3, Mar 2002 Page(s):521 - 525
Digital Object Identifier   10.1109/9.989153
Summary:Analyzes the stabilizability properties of nonlinear cascades in which a nonminimum phase linear system is interconnected through its output to a stable nonlinear system. It is shown that the instability of the zeros of the linear system can be traded with the stability of the nonlinear system up to a limit fixed by the growth properties of the cascade interconnection term. Below this limit, global stabilization is achieved by smooth static-state feedback. Beyond this limit, various examples illustrate that controllability of the cascade may be lost, making it impossible to achieve large regions of attractions

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