NDLI: H∞-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers

Content Provider	IET Digital Library
Author	Ahmed, Mostak Mukaidani, Hiroaki Shima, Tadashi
Abstract	The authors discuss an incentive Stackelberg game with one leader and multiple non-cooperative followers, for a class of discrete-time stochastic systems with an external disturbance. In this game, the leader achieves a team-optimal solution by attenuating the external disturbance under their H ∞ constraint, whereas the followers adopt Nash equilibrium strategies according to the leader's incentive Stackelberg strategy set (declared in advance) while considering the worst-case disturbance. Using our proposed method, we demonstrate that the incentive Stackelberg strategy set can be found by solving a set of matrix-valued equations. Techniques are presented for both the finite- and infinite-horizon cases. In addition, through an academic and a practical numerical examples, we verify the efficacy of the proposed method in providing the incentive Stackelberg strategy set.
Starting Page	2475
Ending Page	2485
Page Count	11
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 15, Oct (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/15
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0105
Journal	IET Control Theory & Applications
Publisher Date	2017-06-20
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Discrete Control System Discrete Time System Discrete-time Stochastic System External Disturbance Finite-horizon Game Theory H∞ Control H∞-constrained Incentive Stackelberg Games Infinite-horizon Leader Incentive Stackelberg Strategy Matrix Algebra Matrix-valued Equation Multiple Noncooperative Followers Nash Equilibrium Strategy Optimal Control Stochastic System Team-optimal Solution Time Varying Control System
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

Mixed H 2/H ∞ control of time-varying stochastic discrete-time systems under uniform detectability

Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems

Stochastic discrete-time Nash games with constrained state estimators (2002)

Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: stability and moving-horizon approximations.

Finite-Horizon H2/H∞ control for discrete-time stochastic systems with multiple decision makers

Infinite horizon linear quadratic differential games for discrete-time stochastic systems

Linear infinite horizon quadratic differential games for stochastic systems: Discrete-time case

Infinite Horizon LQ Optimal Control for Discrete-Time Stochastic Systems

Robust H 2/H ∞ control for periodic stochastic difference systems with mutiplicative noise

H∞-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers

Similar Documents

Mixed H 2/H ∞ control of time-varying stochastic discrete-time systems under uniform detectability

Infinite-Horizon Team-Optimal Incentive Stackelberg Games for Linear Stochastic Systems

Stochastic discrete-time Nash games with constrained state estimators (2002)

Optimal infinite-horizon feedback laws for a general class of constrained discrete-time systems: stability and moving-horizon approximations.

Finite-Horizon H2/H∞ control for discrete-time stochastic systems with multiple decision makers

Infinite horizon linear quadratic differential games for discrete-time stochastic systems

Linear infinite horizon quadratic differential games for stochastic systems: Discrete-time case

Infinite Horizon LQ Optimal Control for Discrete-Time Stochastic Systems

Robust H 2/H ∞ control for periodic stochastic difference systems with mutiplicative noise

H∞-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers