Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
"The content of this book is well structured and it well balances the different aspects of the theory. If the reviewer had to quantify this volume with one work, he would say 'classical'."
- Zentralblatt MATH, Vol. 1050
Systems and control; stability; Lyapunov theory; least squares; observability; controllability; controllable and observable realizations; realization theory; state feedback; state estimators; output feedback controllers; zeros and constant output tracking; linear quadratic regulators; H analysis; H control.