### An Operator Perspective

### An Operator Perspective

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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.

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.

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.

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.

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.

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.