Modules / Lectures
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noc20_ee54_assigment_11noc20_ee54_assigment_11
noc20_ee54_assigment_12noc20_ee54_assigment_12
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noc20_ee54_assigment_2noc20_ee54_assigment_2
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noc20_ee54_assigment_5noc20_ee54_assigment_5
noc20_ee54_assigment_6noc20_ee54_assigment_6
noc20_ee54_assigment_7noc20_ee54_assigment_7
noc20_ee54_assigment_8noc20_ee54_assigment_8
noc20_ee54_assigment_9noc20_ee54_assigment_9


Sl.No Chapter Name MP4 Download
1Examples of Nonlinear Physical SystemsDownload
2Math Preliminaries- Part 01Download
3Math Preliminaries- Part 02Download
4Math Preliminaries- Part 03Download
5Lipschitz Continuity and Contraction Mapping Theorem-Part 01Download
6Lipschitz Continuity and Contraction Mapping Theorem-Part 02Download
7Lipschitz Continuity and Contraction Mapping Theorem-Part 03Download
8Existence and Uniqueness Theorem of ODE.-Part 01Download
9Existence and Uniqueness Theorem of ODE.-Part 02Download
10Existence and Uniqueness Theorem of ODE.-Part 03Download
11Existence and Uniqueness Theorem of ODE.-Part 04Download
12Equilibrium PointsDownload
13Phase Portrait - Part 01Download
14Phase Portrait - Part 02Download
15Phase Portrait - Part 03Download
16Phase portrait of Nonlinear Systems: ExamplesDownload
17Limit CyclesDownload
18Limit Cycles- Examples (Part 1)Download
19Limit Cycles- Examples (Part 2)Download
20Introduction to Bifurcation Theory 1Download
21Introduction to Bifurcation Theory 2Download
22Necessary and Sufficient Conditions for Local Bifurcation.Download
23Problems on Bifurcation Theory.Download
24Stability Notions: Lyapunov and LaSalle's theorem-Part 01Download
25Stability Notions: Lyapunov and LaSalle's theorem-Part 02Download
26Stability Notions: Lyapunov and LaSalle's theorem-Part 03Download
27Stability Notions: Lyapunov and LaSalle's theorem-Part 04Download
28Stability Analysis and types of stabilityDownload
29Lypaunov StabilityDownload
30Supplementary lecture: Comparison Lemma and Lyapunov StabilityDownload
31Center Manifold TheoremDownload
32Interconnection between non linearity and a linear system - Sector Nonlinearities And Aizermann's conjectureDownload
33Counter example for Aizermann's conjectureDownload
34Passivity inspiration - passive circuits - dissipation equalityDownload
35Dissipative Equality for circuit(contn'd)Download
36PR condition for passivity of SISO systemDownload
37Examples of PR transfer functionsDownload
38Relation between storage function and Lyapunov function - PR LemmaDownload
39Proof of PR LemmaDownload
40Proof (contn’d) using spectral factorization theoremDownload
41PR definition for MIMO caseDownload
42PSD Storage function in PR Lemma and how to make it PD (strictly PR)Download
43KYP TheoremDownload
44Passivity preservation under interconnectionDownload
45Aizermann’s conjecture under passivity assumption is trueDownload
46Sector Nonlinearities and need for generlaizing KYP LemmaDownload
47Need for Loop transformationsDownload
48Loop Transformations (Part 1)Download
49Loop Transformations (Part 2)Download
50Circle criterion for PRDownload
51Examples based on circle criterion and stability under circle transformationsDownload

Sl.No Chapter Name English
1Examples of Nonlinear Physical SystemsDownload
To be verified
2Math Preliminaries- Part 01Download
To be verified
3Math Preliminaries- Part 02Download
To be verified
4Math Preliminaries- Part 03Download
To be verified
5Lipschitz Continuity and Contraction Mapping Theorem-Part 01Download
Verified
6Lipschitz Continuity and Contraction Mapping Theorem-Part 02Download
Verified
7Lipschitz Continuity and Contraction Mapping Theorem-Part 03Download
Verified
8Existence and Uniqueness Theorem of ODE.-Part 01Download
Verified
9Existence and Uniqueness Theorem of ODE.-Part 02Download
Verified
10Existence and Uniqueness Theorem of ODE.-Part 03Download
Verified
11Existence and Uniqueness Theorem of ODE.-Part 04Download
Verified
12Equilibrium PointsDownload
Verified
13Phase Portrait - Part 01Download
Verified
14Phase Portrait - Part 02Download
Verified
15Phase Portrait - Part 03Download
Verified
16Phase portrait of Nonlinear Systems: ExamplesDownload
Verified
17Limit CyclesDownload
Verified
18Limit Cycles- Examples (Part 1)Download
Verified
19Limit Cycles- Examples (Part 2)Download
Verified
20Introduction to Bifurcation Theory 1Download
To be verified
21Introduction to Bifurcation Theory 2Download
To be verified
22Necessary and Sufficient Conditions for Local Bifurcation.Download
To be verified
23Problems on Bifurcation Theory.Download
To be verified
24Stability Notions: Lyapunov and LaSalle's theorem-Part 01Download
Verified
25Stability Notions: Lyapunov and LaSalle's theorem-Part 02Download
Verified
26Stability Notions: Lyapunov and LaSalle's theorem-Part 03Download
Verified
27Stability Notions: Lyapunov and LaSalle's theorem-Part 04Download
Verified
28Stability Analysis and types of stabilityDownload
To be verified
29Lypaunov StabilityDownload
To be verified
30Supplementary lecture: Comparison Lemma and Lyapunov StabilityDownload
To be verified
31Center Manifold TheoremDownload
To be verified
32Interconnection between non linearity and a linear system - Sector Nonlinearities And Aizermann's conjectureDownload
Verified
33Counter example for Aizermann's conjectureDownload
Verified
34Passivity inspiration - passive circuits - dissipation equalityDownload
Verified
35Dissipative Equality for circuit(contn'd)Download
Verified
36PR condition for passivity of SISO systemDownload
Verified
37Examples of PR transfer functionsDownload
Verified
38Relation between storage function and Lyapunov function - PR LemmaDownload
Verified
39Proof of PR LemmaDownload
Verified
40Proof (contn’d) using spectral factorization theoremDownload
To be verified
41PR definition for MIMO caseDownload
To be verified
42PSD Storage function in PR Lemma and how to make it PD (strictly PR)Download
To be verified
43KYP TheoremDownload
To be verified
44Passivity preservation under interconnectionDownload
To be verified
45Aizermann’s conjecture under passivity assumption is trueDownload
To be verified
46Sector Nonlinearities and need for generlaizing KYP LemmaDownload
To be verified
47Need for Loop transformationsDownload
To be verified
48Loop Transformations (Part 1)Download
To be verified
49Loop Transformations (Part 2)Download
To be verified
50Circle criterion for PRDownload
To be verified
51Examples based on circle criterion and stability under circle transformationsDownload
To be verified


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1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available