Remarks on the realization of time-varying systems

被引：0

作者：

Kotta, Ulle ^{[1
]}

Moog, Claude H. ^{[2
]}

Tonso, Maris ^{[1
]}

机构：

[1] Tallinn Univ Technol, Sch Informat Technol, Dept Software Sci, Akad Tee 21, EE-12618 Tallinn, Estonia

[2] UMR CNRS 6004, Lab Sci Numer Nantes, Nantes, France

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2018年 / 67卷 / 03期

关键词：

nonlinear control systems; time-varying systems; state-space realization; polynomial methods; NONLINEAR-SYSTEMS; FEEDBACK LINEARIZATION; DIFFERENTIAL-EQUATIONS; STATE REPRESENTATIONS; ALGEBRAIC FRAMEWORK;

D O I：

10.3176/proc.2018.3.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The realization problem of nonlinear time-varying input-output equations is considered. Differentials of the state coordinates, necessary for realization, are determined by the vector space of differential one-forms, spanned over the field of meromorphic functions. Formulas for computing the basis one-forms are given, based on the Euclidean division of non-commutative polynomials. Moreover, it is shown that in the case of a reducible system, the subspace admits a basis with certain structure, explicitly related to reduced input-output equations.

引用

页码：207 / 216

页数：10

共 50 条

[31] Time-varying modulation systems
Wang, G.
Shao, K.
Zhuang, L.
[J]. IET COMMUNICATIONS, 2012, 6 (18) : 3075 - 3083
[32] ON A CLASS OF TIME-VARYING SYSTEMS
HEMAMI, H
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (05) : 589 - &
[33] ON SLOWLY TIME-VARYING SYSTEMS
DAHLEH, M
DAHLEH, MA
[J]. AUTOMATICA, 1991, 27 (01) : 201 - 205
[34] Identification of time-varying systems
Kleiman, EG
[J]. AUTOMATION AND REMOTE CONTROL, 1999, 60 (10) : 1371 - 1402
[35] ON STABILITY OF TIME-VARYING SYSTEMS
ELLER, DH
AGGARWAL, JK
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1966, AC11 (04) : 746 - &
[36] Representation of time-varying nonlinear systems with time-varying principal dynamic modes
Zhong, Yuru
Jan, Kung-Ming
Ju, Ki H.
Chon, Ki H.
[J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 2007, 54 (11) : 1983 - 1992
[37] Feedback linearisation of time-varying nonlinear systems via time-varying diffeomorphism
Choi, HL
Lim, JT
[J]. IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (03): : 279 - 284
[38] On the Correction of Linear Time-varying Systems by Means of Time-varying FIR Filters
Soudan, Michael
Vogel, Christian
[J]. 2011 IEEE 54TH INTERNATIONAL MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS (MWSCAS), 2011,
[39] Time-Varying Razumikhin and Krasovskii Stability Theorems for Time-Varying Delay Systems
Zhou, Bin
Egorov, Alexey V.
[J]. PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 1041 - 1046
[40] Absolute stability of a class of Lurie systems with time-varying delays and time-varying coefficients
Wang Yuhong
Bao Jundong
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 345 - 347

← 1 2 3 4 5 →