A result on common quadratic Lyapunov functions
نویسندگان
چکیده
In this paper we define strong and weak common quadratic Lyapunov functions (CQLF’s) for sets of linear time-invariant (LTI) systems. We show that the simultaneous existence of a weak CQLF of a special form, and the non-existence of a strong CQLF, for a pair of LTI systems, is characterised by easily verifiable algebraic conditions. These conditions are found to play an important role in proving the existence of strong CQLF’s for general LTI systems.
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ورودعنوان ژورنال:
- IEEE Trans. Automat. Contr.
دوره 48 شماره
صفحات -
تاریخ انتشار 2003