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Final value theorem

Final value theorem. Conditions: f(t) is finite and converges or every pole of sF(s) has real part < 0. Input Output System. If the input x(t)=? (t), the output is called the impulse response. If the input x(t)=u(t), the output is called the step response.

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1.46k views • 40 slides

BGP Divergence

BGP Divergence. Overview. We will show how BGP diverges Provide a formal model for the study of this divergence Detecting if BGP will diverge is intractable (probably will not go through this) We present a sufficient condition to prevent divergence

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583 views • 38 slides

Mathe III Lecture 5

Mathe III Lecture 5. Mathe III Lecture 5. Mathe III Lecture 5. Stability:. In the long run, the solution should be independent of the initial conditions. The general solution of. is:. if :. The system is stable. if. The root (s) are in (-1, 1) iff:. m. -1. 1. m. -1. 1.

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413 views • 29 slides

Chapter 5 Stability

Chapter 5 Stability To study BIBO stability for zero-state response, and marginal and asymptotic stabilities for zero-input response. Outline. Stability Input-Output stability of LTI systems Internal stability Lyapunov Theorem Stability of LTV systems. Stability. Importance of stability:

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1.01k views • 25 slides

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Stable iff - PowerPoint PPT Presentation

Final value theorem

BGP Divergence

Mathe III Lecture 5

Chapter 5 Stability