NDLI: Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode

Content Provider	IET Digital Library
Author	Song, Gongfei Zheng, Bo Chao Luo, Qi Mao, Xuerong
Abstract	Mao recently initiated the study of the mean-square exponential stabilisation of continuous-time hybrid stochastic differential equations (SDEs) by the feedback controls based on the discrete-time observations of the state. However, the feedback controls still depend on the continuous-time observations of the mode. Of course this is perfectly fine if the mode of the system is obvious (i.e. fully observable at no cost). However, it could often be the case where the mode is not obvious and it costs to identify the current mode of the system. To reduce the control cost, it is reasonable that we identify the mode at the discrete times when we make observations for the state. Hence, the feedback control should be designed based on the discrete-time observations of both state and mode. The aim of this paper is to show how to design such a feedback control to stabilise a given hybrid SDE.
Starting Page	301
Ending Page	307
Page Count	7
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 3, Feb (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0635
Journal	IET Control Theory & Applications
Publisher Date	2016-10-31
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Continuous Time System Continuous-time Hybrid Stochastic Differential Equation Continuous-time Observations Control System Analysis Control System Synthesis Differential Equation (numerical Analysis) Discrete Control System Discrete Time System Discrete-time Observations Feedback Feedback Control Design Hybrid SDE Mathematical Analysis Mean-square Exponential Stabilisation Stability in Control Theory Synthesis Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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

Pth moment exponential stabilisation of hybrid stochastic differential equations by feedback controls based on discrete-time state observations with a time delay

Exponential stabilisation of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations

Stabilisation of highly non-linear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control

Spectral perspective on stability and stabilisation of continuous-time mean-field stochastic systems

Quantitative exponential stability and stabilisation of discrete-time Markov jump systems with multiplicative noises

Stability and stabilisation of heterogeneous switched systems with arbitrary switching constraints

Exponential stability in mean square of a singularly perturbed linear stochastic system with state-multiplicative white-noise perturbations and Markovian switching

Switched control of repeated scalar non-linear systems via sliding mode control technique

Time-varying control for exponential stabilisation of the Brockett integrator

Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode

Similar Documents

Pth moment exponential stabilisation of hybrid stochastic differential equations by feedback controls based on discrete-time state observations with a time delay

Exponential stabilisation of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations

Stabilisation of highly non-linear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control

Spectral perspective on stability and stabilisation of continuous-time mean-field stochastic systems

Quantitative exponential stability and stabilisation of discrete-time Markov jump systems with multiplicative noises

Stability and stabilisation of heterogeneous switched systems with arbitrary switching constraints

Exponential stability in mean square of a singularly perturbed linear stochastic system with state-multiplicative white-noise perturbations and Markovian switching

Switched control of repeated scalar non-linear systems via sliding mode control technique

Time-varying control for exponential stabilisation of the Brockett integrator

Stabilisation of hybrid stochastic differential equations by feedback control based on discrete-time observations of state and mode