Improved synthesis method for Markov jump systems with uncertain transition rates

This paper focuses on exploring a new controller design method for Markov jump linear systems with uncertain transition rates. By fully considering the property of transition rates and the characteristic of uncertain domains, a more tailored technique instead of the traditional Young inequality is proposed to bind the uncertain terms. Benefited from the new technique, an improved method for controller design is obtained, which involves much less decision variables and has no any compromise on conservatism comparing with the existing ones. A numerical example is given to show the validity of the developed results.