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This open access book presents a pioneering methodology that addresses these limitations, offering a mathematically rigorous and practically effective alternative to conventional state-space models, given that the study of nonlinear control has faced significant challenges, particularly in the explicit determination of control vectors for complex multi-input multi-output (MIMO) systems. 

Authored by the proposer of the Fully Actuated System (FAS) approach, this book systematically establishes a new paradigm for the analysis and design of dynamical control systems....

Although LMI has emerged as a powerful tool with applications across the major domains of systems and control, there has been a need for a textbook that provides an accessible introduction to LMIs in control systems analysis and design. Filling this need, LMIs in Control Systems: Analysis, Design and Applications focuses on the basic analysis and design problems of both continuous- and discrete-time linear systems based on LMI methods.
Providing a broad and systematic introduction to the rich content of LMI-based control systems analysis and design with applications,...

Provides One Unified Formula That Gives Solutions to Several Types of GSEs

Generalized Sylvester equations (GSEs) are applied in many fields, including applied mathematics, systems and control, and signal processing. Generalized Sylvester Equations: Unified Parametric Solutions presents a unified parametric approach for solving various types of GSEs.

In an extremely neat and elegant matrix form, the book provides a single unified parametric solution formula for all the types of GSEs, which further reduces to a specific clear vector form when the parameter matrix "F" in the equations...