A positive real lemma for singular hybrid systems
نویسندگان
چکیده
منابع مشابه
On Positive Real Lemma for Non-minimal Realization Systems
In this paper, we state the positive real lemma and the strictly positive real lemma (KYP lemma) for non-minimal realization systems. First we show the positive real lemma for stabilizable and observable systems under only the constraint on the regularity of the systems, by using the generalized algebraic Riccati equation. Moreover we show that the solution of the Lyapunov equation in the posit...
متن کاملA bounded real lemma for jump systems
This paper presents a bounded real lemma for discrete-time Markovian jump linear systems (MJLS). We show that the linear matrix inequality in the bounded real lemma is both necessary and sufficient for this class of systems. For the case of one plant mode, this condition reduces to the standard necessary and sufficient condition for discrete-time systems. We envision this lemma being used to co...
متن کاملAn extension of the positive real lemma to descriptor systems
The well-known positive real lemma characterizes positive realness of transfer functions of timeinvariant linear systems via the solvability of certain linear matrix inequalities. In this paper, we propose an extension of the positive real lemma and the underlying linear matrix inequalities to descriptor systems. We show that the solvability of these linear matrix inequalities is sufficient and...
متن کاملA Singular Poincaré Lemma
We prove a Poincaré lemma for a set of r smooth functions on a 2n-dimensional smooth manifold satisfying a commutation relation determined by r singular vector fields associated to a Cartan subalgebra of sp(2r, R). This result has a natural interpretation in terms of the cohomology associated to the infinitesimal deformation of a completely integrable system.
متن کاملOn bounded real lemma for fractional systems
Two state space “like” representation based methods for fractional systems L2-gain computation are proposed in this paper. The first is based on an approach already presented in the literature and leads to a new theorem. The theorem is based on the location of the eigenvalues of a matrix issued from the state space “like” representation and is then converted using Riccati theory into an LMI con...
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: IFAC-PapersOnLine
سال: 2020
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2020.12.2518