Author | Peters, Marc A. author |
---|---|
Title | Minimum Entropy Control for Time-Varying Systems [electronic resource] / by Marc A. Peters, Pablo A. Iglesias |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1982-8 |
Descript | X, 189 p. online resource |
1 Introduction -- 1.1 Optimal control problems -- 1.2 Minimum entropy control -- 1.3 The maximum entropy principle -- 1.4 Extensions to time-varying systems -- 1.5 Organization of the book -- 2 Preliminaries -- 2.1 Discrete-time time-varying systems -- 2.2 State-space realizations -- 2.3 Time-reverse systems -- 3 Induced Operator Norms -- 3.1 Characterizations of the induced norm -- 3.2 Time-varying hybrid systems -- 3.3 Computational issues -- 4 Discrete-Time Entropy -- 4.1 Entropy of a discrete-time time-varying system -- 4.2 Properties -- 4.3 Entropy and information theory -- 4.4 Entropy of an anti-causal system -- 4.5 Entropy and the W-transform -- 4.6 Entropy of a non-linear system -- 5 Connections With Related Optimal Control Problems -- 5.1 Relationship with H?control -- 5.2 Relationship with H2 control -- 5.3 Average cost functions -- 5.4 Time-varying risk-sensitive control -- 5.5 Problems defined on a finite horizon -- 6 Minimum Entropy Control -- 6.1 Problem statement -- 6.2 Basic results -- 6.3 Full information -- 6.4 Full control -- 6.5 Disturbance feedforward -- 6.6 Output estimation -- 6.7 Output feedback -- 6.8 Stability concepts -- 7 Continuous-Time Entropy -- 7.1 Classes of systems considered -- 7.2 Entropy of a continuous-time time-varying system -- 7.3 Properties -- 7.4 Connections with related optimal control problems -- 7.5 Minimum entropy control -- A Proof of Theorem 6.5 -- B Proof of Theorem 7.21 -- Notation