Linear State/Signal Systems

The Authors Explain In This Work A New Approach To Observing And Controlling Linear Systems Whose Inputs And Outputs Are Not Fixed In Advance. They Cover A Class Of Linear Time-Invariant State/Signal System That Is General Enough To Include Most Of The Standard Classes Of Linear Time-Invariant Dynamical Systems But Simple Enough That It Is Easy To Understand The Fundamental Principles. They Begin By Explaining The Basic Theory Of Finite-Dimensional And Bounded Systems In A Way Suitable For Graduate Courses In Systems Theory And Control. They Then Proceed To The More Advanced Infinite-Dimensional Setting Opening Up New Ways For Researchers To Study Distributed Parameter Systems Including Linear Port-Hamiltonian Systems And Boundary Triplets. They Include The General Non-Passive Part Of The Theory In Continuous And Discrete Time And Provide A Short Introduction To The Passive Situation. Numerous Examples From Circuit Theory Are Used To Illustrate The Theory.