Learn · Dynamical System and Control
Lecture 18 of 60Unit-4
Stability of Weakly Non-Linear Systems-I
Prof. N. Sukavanam Prof. D. N Pandey · IIT Roorkee
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- Dynamical System and Control, IIT Roorkee (at NPTEL)
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All the lectures
- Formulation of Dynamical Systems-I
- Formulation of Dynamical Systems-II
- Existence and Uniqueness Theorem-I
- Existence and Uniqueness Theorem-II
- Linear Systems-I
- Linear Systems-II
- Solutions of Linear Systems-I
- Solutions of Linear Systems-II
- Solutions of Linear Systems-III
- Fundamental Matrix-I
- Fundamental Matrix-II
- Fundamental Matrix for Non-Autonomous systems
- Solutions of Non-Homogeneous Systems
- Stability of Systems: Equilibrium Points
- Stability of Linear Autonomous Systems-I
- Stability of Linear Autonomous Systems-II
- Stability of Linear Autonomous Systems-III
- Stability of Weakly Non-Linear Systems-I
- Stability of Weakly Non-Linear Systems-II
- Stability of Non-Linear Systems using Linearization
- Properties of Phase Portrait
- Properties of Orbits
- Phase Portrait: Types of Critical Points
- Phase Portrait of Linear Differential Equations- I
- Phase Portrait of Linear Differential Equations- II
- Phase Portrait of Linear Differential Equations-III
- Poincare Bendixson Theorem
- Limit Cycle
- Lyapunov Stability-I
- Lyapunov Stability-II
- Introduction to Control Systems-I
- Introduction to Control Systems-II
- Controllability of Autonomous Systems
- Controllability of Non-autonomous Systems
- Observability-I
- Observability-II
- Results on Controllability and Observability
- Companion Form
- Feedback Control-I
- Feedback Control-II
- Feedback Control-III
- Feedback Control-IV
- State Observer
- Stabilizability
- Introduction to Discrete Systems-I
- Introduction to Discrete Systems-II
- Lyapunov Stability Theory-I
- Lyapunov Stability Theory-II
- Lyapunov Stability Theory-III
- Optimal Control-I
- Optimal Control- II
- Optimal Control-III
- Optimal Control-IV
- Optimal Control for Discrete Systems-I
- Optimal Control for Discrete Systems-II
- Controllability of Discrete Systems
- Observability of Discrete Systems
- Stability for Discrete Systems
- Relation between Continuous and Discrete Systems-I
- Relation between Continuous and Discrete Systems-II