On balanced realizations of bounded real and positive real functions
نویسندگان
چکیده
منابع مشابه
Some properties of analytic functions related with bounded positive real part
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
متن کاملMinimal Positive Realizations of Transfer Functions with Positive Real Poles
A standard result of linear-system theory states that a SISO rational th-order transfer function always has an th-order realization. In some applications, one is interested in having a realization with nonnegative entries (i.e., a positive system) and it is known that a positive system may not be minimal in the usual sense. In this paper, we give an explicit necessary and sufficient condition f...
متن کاملBounded real and positive real balanced truncation using Σ-normalised coprime factors
In this paper we will extend the method of balanced truncation using normalised right coprime factors of the system transfer matrix by Meyer [7] to balanced truncation with preservation of half line dissipativity. Special cases are preservation of positive realness and bounded realness. We consider a half line dissipative input-output system, with quadratic supply rate given by a nonsingular sy...
متن کاملBounded real and positive real balanced truncation for infinite-dimensional systems
Bounded real balanced truncation for infinite-dimensional systems is considered. This provides reduced order finite-dimensional systems that retain bounded realness. We obtain an error bound analogous to the finite-dimensional case in terms of the bounded real singular values. By using the Cayley transform a gap metric error bound for positive real balanced truncation is subsequently obtained. ...
متن کاملCompact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.
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: Linear Algebra and its Applications
سال: 1996
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)00225-8