## Abstract

Global quadratic stabilization in probability is considered for both switched linear certain stochastic systems and switched linear uncertain stochastic systems where there are norm bounded uncertainties. Under the assumption that every single subsystem is NOT globally quadratically stable in probability (GQS-P), we propose both static and dynamic output based switching laws such that the switched system on hand is GQS-P. In the case of static output based switching, the condition is expressed by a set of matrix inequalities, while the design of dynamic output based switching is proposed with a convex combination of subsystems and a robust Luenberger observer for each subsystem. Numerical examples are presented to show validity of the design conditions and switching algorithms.

Original language | English |
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Article number | 9104978 |

Pages (from-to) | 103610-103618 |

Number of pages | 9 |

Journal | IEEE Access |

Volume | 8 |

DOIs | |

Publication status | Published - 2020 |

## Keywords

- LMIs
- Switched linear certain stochastic systems (SLCSS)
- convex combination
- globally quadratically stable in probability (GQS-P)
- norm bounded uncertainties
- output based switching
- switched linear uncertain stochastic systems (SLUSS)

## ASJC Scopus subject areas

- Computer Science(all)
- Materials Science(all)
- Engineering(all)