On common quadratic Lyapunov functions for stable discrete-time LTI systems
نویسندگان
چکیده
منابع مشابه
On common quadratic Lyapunov functions for stable discrete-time LTI systems
This paper deals with the question of the existence of weak and strong common quadratic Lyapunov functions (CQLFs) for stable discrete-time linear timeinvariant (LTI) systems. The main result of the paper provides a simple characterisation of pairs of such systems for which a weak CQLF of a given form exists but for which no strong CQLF exists. An application of this result to second order disc...
متن کاملOn common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form
response of the frequency estimation loop and simplified its design. The estimates were unbiased and ripple-free when the signal contained no noise and the parameters of the signal were constant. A modified version of the algorithm provided improvements for situations in which the fundamental component of the signal could become small, or vanish for some periods of time. In this case, informati...
متن کاملDiagonal Common Quadratic Lyapunov Functions for Sets of Positive Lti Systems
This paper focuses on the problems of a diagonal common quadratic Lyapunov function (DCQLF) existence for sets of stable positive linear time-invariant (LTI) systems. We derive the equivalent algebraic conditions to verify the existence of a DCQLF, namely that the finite number Hurwitz Mezler matrices at least have a common diagonal Stein solution. Finally some reduced cases are considered. 201...
متن کاملOn common linear/quadratic Lyapunov functions for switched linear systems
Using duality and complementarity ideas, and Z-transformations, in this article, we discuss equivalent ways of describing the existence of common linear/quadratic Lyapunov functions for switched linear systems. In particular, we extend a recent result of Mason-Shorten on positive switched system with two constituent linear time-invariant systems to an arbitrary finite system.
متن کاملA result on common quadratic Lyapunov functions
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 provin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IMA Journal of Applied Mathematics
سال: 2004
ISSN: 0272-4960,1464-3634
DOI: 10.1093/imamat/69.3.271