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
收藏
页码：387 / 397
页数：11
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