The Kalman-Yakubovich-Popov Inequality for Descriptor Systems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Kalman-Yakubovich-Popov inequality for differential-algebraic systems: Existence of nonpositive solutions

The Kalman-Yakubovich-Popov lemma is a central result in systems and control theory which relates the positive semidefiniteness of a Popov function on the imaginary axis to the solvability of a linear matrix inequality. In this paper we prove sufficient conditions for the existence of a nonpositive solution to this inequality for differential-algebraic systems. Our conditions are given in terms...

متن کامل

Kalman-yakubovich-popov Lemma for Two-dimensional Systems

This paper is concerned with the development of a version of KalmanYakubovich-Popov (KYP) lemma for two-dimensional (2-D) systems characterized by the Roesser model. We shall establish the 2-D KYP lemma over any given finite frequency range which contains the KYP lemma over the infinite frequency range as a special case. Note that the latter has not been known for 2-D systems even though its on...

متن کامل

On the Kalman-Yakubovich-Popov lemma and the multidimensional models

This paper focuses on Kalman–Yakubovich–Popov lemma for multidimensional systems described by Roesser model that possibly includes both continuous and discrete dynamics. It is shown that, similarly to the standard 1-D case, this lemma can be studied through the lens of S-procedure. Furthermore, by virtue of this lemma, we will examine robust stability, bounded and positive realness of multidime...

متن کامل

On a Generalization of the Kalman-Yakubovich-Popov Lemma

The purpose of this note is to develop a generalization of the K-Y-P lemma and to apply this result to the absolute stability of single-variable Lur’e systems with sector-restricted nonlinearities.

متن کامل

An alternative Kalman-Yakubovich-Popov lemma and some extensions

This paper introduces an alternative formulation of the Kalman–Yakubovich–Popov (KYP) Lemma, relating an infinite dimensional Frequency Domain Inequality (FDI) to a pair of finite dimensional Linear Matrix Inequalities (LMI). It is shown that this new formulation encompasses previous generalizations of the KYP Lemma which hold in the case the coefficient matrix of the FDI does not depend on fre...

متن کامل

ذخیره 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: PAMM

سال: 2015

ISSN: 1617-7061

DOI: 10.1002/pamm.201510312