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Continuous bounded control of feedforward nonlinear systems with low-order power and nonlinear growth rate

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  • Liu, Liang
  • Bai, Rulan
  • Sun, Gang

Abstract

This paper concentrates on the global strong stabilization for a type of feedforward nonlinear systems subject to the low-order power and nonlinear growth rate. On the strength of the bottom-up recursive design philosophy and the introduction of proper coordinate changes, the continuous and bounded state feedback controller is constructed in an explicit form. Under the generalized Lyapunov stability criterion, it is proved that the developed control scheme ensures that the trivial solution of the closed-loop system (CLS) is globally strongly stable (GSS). Two examples are given to show the feasibility of the developed control approach.

Suggested Citation

  • Liu, Liang & Bai, Rulan & Sun, Gang, 2026. "Continuous bounded control of feedforward nonlinear systems with low-order power and nonlinear growth rate," Applied Mathematics and Computation, Elsevier, vol. 520(C).
    • Handle: RePEc:eee:apmaco:v:520:y:2026:i:c:s0096300326000160
    DOI: 10.1016/j.amc.2026.129964
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