Global stabilization of nonlinear cascade systems. (English) Zbl 0699.93073
Summary: We present sufficient conditions for the global stabilizability of two cascade connected nonlinear systems. These are based on general results concerning global asymptotic stability of triangular systems which are proved in the last section. For polynomial systems, in particular, the stabilizing feedback is given explicitly.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93D20 | Asymptotic stability in control theory |
| 93C10 | Nonlinear systems in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93A99 | General systems theory |
Keywords:
minimum phase systems; global stabilizability; global asymptotic stability; triangular systemsReferences:
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