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Stabilization of a Class of Switched Positive Nonlinear Systems

Author

Listed:
  • Xing Xing
  • Zhichun Jia
  • Yunfei Yin
  • Tingting Wu

Abstract

The problem of switching stabilization for a class of switched positive nonlinear systems (switched positive homogeneous cooperative system (SPHCS) in the continuous-time context and switched positive homogeneous order-preserving system (SPHOS) in the discrete-time context) is studied by using average dwell time (ADT) approach, where the positive subsystems are possibly all unstable. To tackle this problem, a new class of ADT switching is first defined, which is different from the previous defined ADT switching in the literature. Then, the proposed ADT is designed via analyzing the weighted norm of the considered system’s state. A sufficient condition of stabilization for SPHCSs with unstable positive subsystems is derived in continuous-time context. Furthermore, a sufficient condition for SPHOSs under the assumption that all modes are possibly unstable is also obtained. Finally, a numerical example is given to demonstrate the advantages and effectiveness of our developed results.

Suggested Citation

  • Xing Xing & Zhichun Jia & Yunfei Yin & Tingting Wu, 2015. "Stabilization of a Class of Switched Positive Nonlinear Systems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, March.
    • Handle: RePEc:hin:jnlmpe:152410
    DOI: 10.1155/2015/152410
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