1 Introduction.- 2 Mathematical preliminaries.- 3 Systems with inputs and outputs.- 4 Controlled invariant subspaces.- 5 Conditioned invariant subspaces.- 6(C, A, B)-pairs and dynamic feedback.- 7 System zeros and the weakly unobservable subspace.- 8 System invertibility and the strongly reachable subspace.- 9 Tracking and regulation.- 10 Linear quadratic optimal control.- 11 The H2 optimal control problem.- 12 H? control and robustness.- 13 The state feedback H? control problem.- 14 The H? control problem with measurement feedback.- 15 Some applications of the H? control problem.- A Distributions.- A.1 Notes and references.
The connection of geometric control theory to H2 and H-infinity optimal control theory provides an additional insight for the reader
The authors have all contributed at different times to the development of the theory presented in the book: Malo Hautus was involved in the development of the fundamental concepts of linear system theory. Harry Trentelman was a major contributor to the development of almost invariant subspaces, and Anton Stoorvogel helped to establish the connection between geometric control and H2 and H-infinity optimal control