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Originally published in 2000, this authoritative text spans 452 pages and serves as the second volume in a comprehensive series dedicated to the mathematical foundations of deterministic control systems modeled by multi-dimensional partial differential equations. \u003c\/p\u003e \u003cp\u003eThis volume delves into the optimal control problem within a finite time horizon, focusing on hyperbolic dynamical systems. Readers will encounter a wealth of intriguing results and methodologies that highlight the complexities and applications of control theory. Ideal for researchers and practitioners alike, this hardback edition is a valuable addition to any academic library or personal collection. 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