Description of the Continuous State Space
Introduction.
Concept of State.
State Space Equations.
Linear Transformations.
Graphical Representation of Linear Systems.
Transfer Function and State Space.
Method of Obtaining State Space Realisations.
Solution of the Equation of State of Linear Systems.
Introduction
Solution of the Homogeneous Equation.
Properties of the Transition Matrix.
Solution of the Complete Equation.
Calculation of the Transition Matrix.
Controllability
Introduction
Definitions Controllability in Linear Systems.
Controllability in Linear and Invariant Systems.
Controllable Subspace. Controllable Subsystem Separation Controllability of the Output.
Continuous Time Signals.
Observability.
Introduction
Definitions Observability in Linear Systems.
Observability in Invariant Systems
Non-Observable Subspace.
Separation of the Non-Observable Subsystem.
Separation of Controllable and Observable Subsystems.
