| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Examples of Nonlinear Physical Systems | Download |
| 2 | Math Preliminaries- Part 01 | Download |
| 3 | Math Preliminaries- Part 02 | Download |
| 4 | Math Preliminaries- Part 03 | Download |
| 5 | Lipschitz Continuity and Contraction Mapping Theorem-Part 01 | Download |
| 6 | Lipschitz Continuity and Contraction Mapping Theorem-Part 02 | Download |
| 7 | Lipschitz Continuity and Contraction Mapping Theorem-Part 03 | Download |
| 8 | Existence and Uniqueness Theorem of ODE.-Part 01 | Download |
| 9 | Existence and Uniqueness Theorem of ODE.-Part 02 | Download |
| 10 | Existence and Uniqueness Theorem of ODE.-Part 03 | Download |
| 11 | Existence and Uniqueness Theorem of ODE.-Part 04 | Download |
| 12 | Equilibrium Points | Download |
| 13 | Phase Portrait - Part 01 | Download |
| 14 | Phase Portrait - Part 02 | Download |
| 15 | Phase Portrait - Part 03 | Download |
| 16 | Phase portrait of Nonlinear Systems: Examples | Download |
| 17 | Limit Cycles | Download |
| 18 | Limit Cycles- Examples (Part 1) | Download |
| 19 | Limit Cycles- Examples (Part 2) | Download |
| 20 | Introduction to Bifurcation Theory 1 | Download |
| 21 | Introduction to Bifurcation Theory 2 | Download |
| 22 | Necessary and Sufficient Conditions for Local Bifurcation. | Download |
| 23 | Problems on Bifurcation Theory. | Download |
| 24 | Stability Notions: Lyapunov and LaSalle's theorem-Part 01 | Download |
| 25 | Stability Notions: Lyapunov and LaSalle's theorem-Part 02 | Download |
| 26 | Stability Notions: Lyapunov and LaSalle's theorem-Part 03 | Download |
| 27 | Stability Notions: Lyapunov and LaSalle's theorem-Part 04 | Download |
| 28 | Stability Analysis and types of stability | Download |
| 29 | Lypaunov Stability | Download |
| 30 | Supplementary lecture: Comparison Lemma and Lyapunov Stability | Download |
| 31 | Center Manifold Theorem | Download |
| 32 | Interconnection between non linearity and a linear system - Sector Nonlinearities And Aizermann's conjecture | Download |
| 33 | Counter example for Aizermann's conjecture | Download |
| 34 | Passivity inspiration - passive circuits - dissipation equality | Download |
| 35 | Dissipative Equality for circuit(contn'd) | Download |
| 36 | PR condition for passivity of SISO system | Download |
| 37 | Examples of PR transfer functions | Download |
| 38 | Relation between storage function and Lyapunov function - PR Lemma | Download |
| 39 | Proof of PR Lemma | Download |
| 40 | Proof (contn’d) using spectral factorization theorem | Download |
| 41 | PR definition for MIMO case | Download |
| 42 | PSD Storage function in PR Lemma and how to make it PD (strictly PR) | Download |
| 43 | KYP Theorem | Download |
| 44 | Passivity preservation under interconnection | Download |
| 45 | Aizermann’s conjecture under passivity assumption is true | Download |
| 46 | Sector Nonlinearities and need for generlaizing KYP Lemma | Download |
| 47 | Need for Loop transformations | Download |
| 48 | Loop Transformations (Part 1) | Download |
| 49 | Loop Transformations (Part 2) | Download |
| 50 | Circle criterion for PR | Download |
| 51 | Examples based on circle criterion and stability under circle transformations | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Examples of Nonlinear Physical Systems | Download To be verified |
| 2 | Math Preliminaries- Part 01 | Download To be verified |
| 3 | Math Preliminaries- Part 02 | Download To be verified |
| 4 | Math Preliminaries- Part 03 | Download To be verified |
| 5 | Lipschitz Continuity and Contraction Mapping Theorem-Part 01 | Download Verified |
| 6 | Lipschitz Continuity and Contraction Mapping Theorem-Part 02 | Download Verified |
| 7 | Lipschitz Continuity and Contraction Mapping Theorem-Part 03 | Download Verified |
| 8 | Existence and Uniqueness Theorem of ODE.-Part 01 | Download Verified |
| 9 | Existence and Uniqueness Theorem of ODE.-Part 02 | Download Verified |
| 10 | Existence and Uniqueness Theorem of ODE.-Part 03 | Download Verified |
| 11 | Existence and Uniqueness Theorem of ODE.-Part 04 | Download Verified |
| 12 | Equilibrium Points | Download Verified |
| 13 | Phase Portrait - Part 01 | Download Verified |
| 14 | Phase Portrait - Part 02 | Download Verified |
| 15 | Phase Portrait - Part 03 | Download Verified |
| 16 | Phase portrait of Nonlinear Systems: Examples | Download Verified |
| 17 | Limit Cycles | Download Verified |
| 18 | Limit Cycles- Examples (Part 1) | Download Verified |
| 19 | Limit Cycles- Examples (Part 2) | Download Verified |
| 20 | Introduction to Bifurcation Theory 1 | Download To be verified |
| 21 | Introduction to Bifurcation Theory 2 | Download To be verified |
| 22 | Necessary and Sufficient Conditions for Local Bifurcation. | Download To be verified |
| 23 | Problems on Bifurcation Theory. | Download To be verified |
| 24 | Stability Notions: Lyapunov and LaSalle's theorem-Part 01 | Download Verified |
| 25 | Stability Notions: Lyapunov and LaSalle's theorem-Part 02 | Download Verified |
| 26 | Stability Notions: Lyapunov and LaSalle's theorem-Part 03 | Download Verified |
| 27 | Stability Notions: Lyapunov and LaSalle's theorem-Part 04 | Download Verified |
| 28 | Stability Analysis and types of stability | Download To be verified |
| 29 | Lypaunov Stability | Download To be verified |
| 30 | Supplementary lecture: Comparison Lemma and Lyapunov Stability | Download To be verified |
| 31 | Center Manifold Theorem | Download To be verified |
| 32 | Interconnection between non linearity and a linear system - Sector Nonlinearities And Aizermann's conjecture | Download Verified |
| 33 | Counter example for Aizermann's conjecture | Download Verified |
| 34 | Passivity inspiration - passive circuits - dissipation equality | Download Verified |
| 35 | Dissipative Equality for circuit(contn'd) | Download Verified |
| 36 | PR condition for passivity of SISO system | Download Verified |
| 37 | Examples of PR transfer functions | Download Verified |
| 38 | Relation between storage function and Lyapunov function - PR Lemma | Download Verified |
| 39 | Proof of PR Lemma | Download Verified |
| 40 | Proof (contn’d) using spectral factorization theorem | Download Verified |
| 41 | PR definition for MIMO case | Download Verified |
| 42 | PSD Storage function in PR Lemma and how to make it PD (strictly PR) | Download Verified |
| 43 | KYP Theorem | Download Verified |
| 44 | Passivity preservation under interconnection | Download Verified |
| 45 | Aizermann’s conjecture under passivity assumption is true | Download Verified |
| 46 | Sector Nonlinearities and need for generlaizing KYP Lemma | Download Verified |
| 47 | Need for Loop transformations | Download Verified |
| 48 | Loop Transformations (Part 1) | Download Verified |
| 49 | Loop Transformations (Part 2) | Download Verified |
| 50 | Circle criterion for PR | Download Verified |
| 51 | Examples based on circle criterion and stability under circle transformations | Download Verified |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Download |
| 2 | Bengali | Not Available |
| 3 | Gujarati | Not Available |
| 4 | Hindi | Not Available |
| 5 | Kannada | Not Available |
| 6 | Malayalam | Not Available |
| 7 | Marathi | Not Available |
| 8 | Tamil | Not Available |
| 9 | Telugu | Not Available |