Decomposable dissipativity and related stability for discrete-time switched systems

作者：Liu Bin^*; Hill David J

来源：IEEE Transactions on Automatic Control, 2011, 56(7): 1666-1671.

DOI：10.1109/TAC.2011.2121430

• Discrete-time switched system
• Dissipativity
• Energy changes
• Supply rate
• Switched system
• Uniform stability

This note investigates dissipativity and related stability for discrete-time switched systems. The new concept of decomposable dissipativity is proposed for this kind of systems. By decomposing the supply rate into the main supply rate and the subsidiary supply rate, the energy changes of subsystems and energy dissipation in the whole switched system are explained. The uniform stability conditions are derived for decomposable dissipative discrete-time switched systems. By the decomposition of supply rate, the non-positive condition of the supply rate, which is often required in the literature to derive stability, is relaxed. Finally, one example is given to illustrate the results.

• 出版日期2011