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Lecture Signals, systems & inference – Lecture 7: Full modal solution, asymptotic stability, reachability and observability

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The following will be discussed in this chapter: Modal solution of CT system ZIR, asymptotic stability of CT system, the DT case: linearization at an equilibrium, modal solution of driven DT system, underlying structure of LTI DT statespace system with L distinct modes, reachability and Observability, . | Lecture Signals systems inference Lecture 7 Full modal solution asymptotic stability reachability and observability

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Lecture Signals, systems & inference – Lecture 1: Introduction

Lecture Signals, systems & inference – Lecture 2: Transforms

Lecture Signals, systems & inference – Lecture 3: Energy spectral density

Lecture Signals, systems & inference – Lecture 4: State-Space Models

Lecture Signals, systems & inference – Lecture 5: State-space models, equilibrium, linearization

Lecture Signals, systems & inference – Lecture 6: Modal solution of undriven CT LTI state-space models

Lecture Signals, systems & inference – Lecture 7: Full modal solution, asymptotic stability, reachability and observability

Lecture Signals, systems & inference – Lecture 8: Matrix exponential, ZIR+ZSR, transfer function, hidden modes, reaching target states

Lecture Signals, systems & inference – Lecture 9: Observers for state estimation

Lecture Signals, systems & inference – Lecture 10: Observers, state feedback