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Comparison Functions Islamic University of Gaza Faculty of Engineering

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Presentation on theme: "Comparison Functions Islamic University of Gaza Faculty of Engineering"— Presentation transcript:

1 Comparison Functions Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Comparison Functions Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

2 Properties Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Properties Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

3 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

4 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

5 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

6 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

7 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

8 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

9 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

10 Linear time-varying systems and linearization
Islamic University of Gaza Faculty of Engineering Electrical Engineering Department Linear time-varying systems and linearization State Transition matrix Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

11 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

12 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

13 Take your notes Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Take your notes Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

14 Converse Theorems Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Converse Theorems Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

15 Boundedness and Ultimate Boundedness
Islamic University of Gaza Faculty of Engineering Electrical Engineering Department Boundedness and Ultimate Boundedness Until now we have used Lyapunov theory to study the behavior of the system about the equilibrium point. What happens when the system does not have any equilibrium point? We will see that Lyapunov analysis can be used to show boundedness of the solution of the state equation. Take your notes Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

16 Input-to-state stability
Islamic University of Gaza Faculty of Engineering Electrical Engineering Department Input-to-state stability Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

17 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

18 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

19 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

20 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

21 Islamic University of Gaza Faculty of Engineering
Electrical Engineering Department Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

22 Islamic University of Gaza
Faculty of Engineering Electrical Engineering Department H.W 4.3,4.27,4.32,4.37,4.46,4.55(1,2,7) Deadline : 05/12/2018 Nonlinear Dynamic Control Systems , Dr. Moayed Almobaied Lecture10

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