Zhi Liu and Yu-Zhen Wang. Regional Stability of Positive Switched Linear Systems with Multi-equilibrium Points. International Journal of Automation and Computing, vol. 14, no. 2, pp. 213-220, 2017. DOI: 10.1007/s11633-016-1003-5
Citation: Zhi Liu and Yu-Zhen Wang. Regional Stability of Positive Switched Linear Systems with Multi-equilibrium Points. International Journal of Automation and Computing, vol. 14, no. 2, pp. 213-220, 2017. DOI: 10.1007/s11633-016-1003-5

Regional Stability of Positive Switched Linear Systems with Multi-equilibrium Points

  • This paper studies the regional stability for positive switched linear systems with multi-equilibrium points (PSLS-MEP). First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.
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