The technology of hydrodynamic modeling and marine craft motion control systems has progressed greatly in recent years. This timely survey includes the latest tools for analysis and design of advanced guidance, navigation and control systems and presents new material on underwater vehicles and surface vessels. Each section presents numerous case studies and applications, providing a practical understanding of how model-based motion control systems are designed.

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Handbook of Marine Craft Hydrodynamics and Motion Control: Fossen/Handbook of Marine Craft Hydrodynamics and Motion Control

Introduction.- Aspects of stochastic control theory.- Optimal stabilization of linear stochastic systems.- Linear mappings on ordered vector spaces.- Newtons method.- Solution of the Riccati equation.

Rational Matrix Equations in Stochastic Control

Nonconvex optimization problem: the infinite-horizon linear-quadratic control problem with quadratic constraints

Dichotomy and absolute stability of nonlinear systems with periodically nonstationary linear part

A history of two fundamental results of the mathematical system theory--the Kalman-Popov-Yakubovich lemma and the theorem of losslessness of the S-procedure--was presented. The studies directly concerned with these statements were reviewed. The recent publications using the theorem of losslessness of the S-procedure to derive the Kalman-Popov-Yakubovich lemma and its generalizations were analyzed.

V. A. Yakubovich

Papers

A frequency theorem in control theory