A-stable Padé approximations and quadratic stability
نویسندگان
چکیده
In this paper we prove that all A-stable Padé approximations for the matrix exponential preserve common quadratic Lyapunov functions for switched linear systems.
منابع مشابه
On Padé approximations, quadratic stability and discretization of switched linear systems
In this note we consider the stability preserving properties of diagonal Padé approximations to the matrix exponential. We show that while diagonal Padé approximations preserve quadratic stability when going from continuous-time to discrete-time, the converse is not true. We discuss the implications of this result for discretizing switched linear systems. We also show that for continuous-time s...
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