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Team-Optimal Closed-Loop Stackelberg Strategies for Discrete-Time Descriptor Systems

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New Trends in Dynamic Games and Applications

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 3))

Abstract

In this paper we investigate the team-optimal closed-loop Stackelberg strategies for discrete-time descriptor systems. We show that the closed-loop no-memory information on the descriptor variables is sufficient for the leader to design the team-optimal feedback closed-loop Stackelberg strategies for a general class of linear-quadratic Stackelberg games. Sufficient conditions for the existence of such strategies are derived. A recursive scheme is presented to determine the team-optimal feedback closed-loop Stackelberg strategies. A numerical example is solved to illustrate the validity of the sufficient conditions.

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© 1995 Birkhäuser Boston

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Xu, H., Mizukami, K. (1995). Team-Optimal Closed-Loop Stackelberg Strategies for Discrete-Time Descriptor Systems. In: Olsder, G.J. (eds) New Trends in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4274-1_19

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  • DOI: https://doi.org/10.1007/978-1-4612-4274-1_19

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8719-3

  • Online ISBN: 978-1-4612-4274-1

  • eBook Packages: Springer Book Archive

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