In this paper we tackle some control problems related to the class of continuous-time, Markov jump linear systems. First of all, the annular stochastic finite-time stability problem is considered, and two different sufficient conditions are derived. Both conditions require the solution of a feasibility problem based on differential linear matrix inequalities. The analysis conditions are the starting point to solve the state-feedback design problem. Some numerical examples, considering also an electrical circuit, show the effectiveness of the proposed approach.
Annular finite-time stability and stabilization of continuous-time markov jump linear systems
Tartaglione G.
;Ariola M.;
2019-01-01
Abstract
In this paper we tackle some control problems related to the class of continuous-time, Markov jump linear systems. First of all, the annular stochastic finite-time stability problem is considered, and two different sufficient conditions are derived. Both conditions require the solution of a feasibility problem based on differential linear matrix inequalities. The analysis conditions are the starting point to solve the state-feedback design problem. Some numerical examples, considering also an electrical circuit, show the effectiveness of the proposed approach.File in questo prodotto:
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