NDLI: Dynamic control for non-linear systems with delay

Content Provider	Springer Nature Link
Author	Zuber, I. E. Gelig, A. Kh.
Copyright Year	2011
Abstract	We consider some class of non-linear systems of the form $\dot x = A( \cdot )x + \sum\limits_{i = 1}^l {A_i ( \cdot )x(t - \tau _i (t)) + b( \cdot )u} ,$ where A(·) ∈ ℝ$^{ n × n }$, A $_{ i }$(·) ∈ ℝ$^{ n × n }$, b(·) ∈ ℝ$^{ n }$, whose coefficients are arbitrary uniformly bounded functionals.A special type of the Lyapunov-Krasovskii functional is used to synthesize dynamic control described by the equation $\dot u = \rho ( \cdot )u + (m( \cdot ),x),$ where ρ(·) ∈ ℝ$^{1}$, m(·) ∈ ℝ$^{ n }$, which makes the system globally asymptotically stable. Also, the situation is considered where the control u enters into the system not directly but through a pulse element performing an amplitude-frequency modulation.
Starting Page	182
Ending Page	189
Page Count	8
File Format	PDF
ISSN	10634541
Journal	Vestnik St. Petersburg University: Mathematics
Volume Number	44
Issue Number	3
e-ISSN	19347855
Language	English
Publisher	Allerton Press, Inc.
Publisher Date	2011-08-24
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	systems with time-varying delay global asymptotic stability dynamic control the Lyapunov-Krasovskii functional Analysis
Content Type	Text
Resource Type	Article
Subject	Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Dynamic control for non-linear systems with delay