Stability of ODE

Related lectures (32)

Page 3 of 4

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.

Explores state-space representation, controllability, observability, and regulator calculation using the Ackermann method.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.