H∞-0ptimal Control and Related Minimax Design Problems: A Dynamic Game Approach

By Tamer Basar, Pierre Bernhard. 1996

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Citations in the corpus

Dead-ends and Secure Exploration in Reinforcement Learning (2019, background): “A considerably longer tale of history exists in the robust control literature, which designs the controller on the basis of worst-case scenario (see for example Başar & Bernhard (1995) that provides a nice game-theoretic approach).”
H∞ control of system with I/O delay: a review of some problem‐oriented methods (2002, methodology): “Early developments are reported in [3].”
ROBUST PERMANENT INCOME AND PRICING WITH FILTERING (2002, methodology): “…to be used for next period’s version of the problem; (D) a robust adjustment to the estimate of the current state z. Building on the work of Basar and Bernhard (1995), Hansen and Sargent (2000) show that item C is the same recursion associated with an ordinary Kalman filter, and…”
A survey of nonsymmetric Riccati equations (2002, background): “... and their applications in control theory, the books by Lasiecka and Triggiani [LaTr00] and Bensoussan, Da Prato, Delfour and Mitter [BPDM92] are devoted to distributed parameter systems and contain various results on operator Riccati equations, Basar and Olsder [BaOl95] contains contributions on”
Portfolio Optimization Under a Minimax Rule (2000, background): “1 See, for example, Başer and Bernhard (1995), for more discussion on the l notation and other related minimax measures.”
A game theoretic approach to controller design for hybrid systems (2000, background): “In the control community, problems of the safety type have been addressed in the context of pursuit-evasion games and robust control [11], [24], [ 25 ].”
Applications of Markov Decision Processes in Communication Networks (2000, methodology): “We should mention that modelling the ﬂow control within the linear quadratic control framework (in particular - when considering Gaussian noise or the H ∞ approach, see [26, 29]) allows one to handle sampled information, using the theory in [44, Sec.”
Feedback Systems: An Introduction for Scientists and Engineers (2008, unknown): “The results have been extended to nonlinear systems by treating the design problem as a game where the disturbances are generated by an adversary as described in [BB91].”