Descriptor discrete-time systems with random abrupt changes: Stability and stabilisation. (English) Zbl 1152.93511
Summary: This paper deals with the class of linear discrete-time systems with random abrupt changes also known as class of Markovian jump singular systems. The problems of stochastic stability and the stochastic stabilisation (using state-feedback control and static output feedback control) are tackled. Conditions in the LMI setting to design the appropriate gains of the controllers are developed. It is shown that all the addressed problems can be solved if the corresponding developed linear matrix inequalities (LMIs) are feasible. Numerical examples are employed to show the usefulness of the proposed results.
MSC:
| 93E15 | Stochastic stability in control theory |
Keywords:
singular systems; descriptor systems; systems with random abrupt changes; discrete-time linear systems; linear matrix inequality; stochastic stability; stochastic stabilisability; state feedback control; static output feedback controlReferences:
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