Stochastic differential equations (SDEs) provide a mathematical framework for modelling dynamical systems influenced by random perturbations. At their core, SDEs extend classical ordinary differential ...

Hamiltonian dynamics constitutes the mathematical framework underlying a vast array of physical systems, from planetary motion to quantum fields. At its heart lies a function— the Hamiltonian— which ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

Differential and difference linear time-invariant (LTI) systems constitute an extremely important class of systems in engineering. They are used in circuit analysis, filter design, controller design, ...

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors. Apply feedback control laws to stabilize systems and achieve performance goals. Control systems ...