Next Article in Journal
Orthogonal Gyrodecompositions of Real Inner Product Gyrogroups
Previous Article in Journal
Despeckling Algorithm for Removing Speckle Noise from Ultrasound Images
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Symmetry
Volume 12
Issue 6
10.3390/sym12060940
symmetry-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method

by
Kamil Borawski
Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D Street, 15-351 Bialystok, Poland
Symmetry 2020, 12(6), 940; https://doi.org/10.3390/sym12060940
Submission received: 5 May 2020 / Revised: 25 May 2020 / Accepted: 30 May 2020 / Published: 3 June 2020
Browse Figures
Versions Notes

Abstract

In this paper the descriptor continuous-time linear systems with the regular matrix pencil ( E , A ) are investigated using Drazin inverse matrix method. Necessary and sufficient conditions for the stability and superstability of this class of dynamical systems are established. The procedure for computation of the state-feedback gain matrix such that the closed-loop system is superstable is given. The effectiveness of the presented approach is demonstrated on numerical examples.
Keywords: descriptor; continuous-time; linear system; state-feedback; stability; superstability; Drazin inverse descriptor; continuous-time; linear system; state-feedback; stability; superstability; Drazin inverse

Share and Cite

MDPI and ACS Style

Borawski, K. Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method. Symmetry 2020, 12, 940. https://doi.org/10.3390/sym12060940

AMA Style

Borawski K. Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method. Symmetry. 2020; 12(6):940. https://doi.org/10.3390/sym12060940

Chicago/Turabian Style

Borawski, Kamil. 2020. "Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method" Symmetry 12, no. 6: 940. https://doi.org/10.3390/sym12060940

APA Style

Borawski, K. (2020). Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method. Symmetry, 12(6), 940. https://doi.org/10.3390/sym12060940

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop