Linearization by input-output injections on homogeneous time scales

被引：3

作者：

Ciulkin, Monika ^{[1
]}

Kaparin, Vadim ^{[2
]}

Kotta, Uelle ^{[2
]}

Pawluszewicz, Ewa ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Mech Engn, PL-15351 Bialystok, Poland

[2] Tallinn Univ Technol, Inst Cybernet, EE-12618 Tallinn, Estonia

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2014年 / 63卷 / 04期

关键词：

nonlinear control system; time scale; observer form; differential one-forms; NONLINEAR CONTROL-SYSTEMS; ALGEBRAIC FORMALISM; EQUIVALENCE; OBSERVERS; FORMS;

D O I：

10.3176/proc.2014.4.04

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 problem of linearization by input-output (i/o) injections is addressed for nonlinear single-input single-output systems, defined on a homogeneous time scale. The paper provides conditions for the existence of a state transformation, bringing state equations into the observer form, which is linear up to some nonlinear input- and output-dependent functions, called i/o injections. These conditions are based on differential one-forms, associated with the i/o equation of the system.

引用

页码：387 / 397

页数：11

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