Dynamical Systems and Control Course | IIT Roorkee | Prof. Sukavanam & Prof. Pandey
Course Details
| Exam Registration | 68 |
|---|---|
| Course Status | Ongoing |
| Course Type | Elective |
| Language | English |
| Duration | 12 weeks |
| Categories | Mathematics |
| Credit Points | 3 |
| Level | Undergraduate/Postgraduate |
| Start Date | 19 Jan 2026 |
| End Date | 10 Apr 2026 |
| Enrollment Ends | 02 Feb 2026 |
| Exam Registration Ends | 20 Feb 2026 |
| Exam Date | 19 Apr 2026 IST |
| NCrF Level | 4.5 — 8.0 |
Unlock the Mathematics of Motion and Control: Your Guide to a Foundational Course
In the world of engineering and science, from guiding a rocket to stabilizing an economy, the principles of Dynamical Systems and Control are fundamental. Understanding how systems evolve over time and how to influence their behavior is a cornerstone of modern technology. For students and professionals looking to master these critical concepts, a meticulously structured online course from the Indian Institute of Technology Roorkee (IIT Roorkee) offers an unparalleled learning opportunity.
Course Overview: A Deep Dive into System Behavior
This 12-week course, titled "Dynamical Systems and Control," is designed for postgraduate and final-year undergraduate students from engineering and science backgrounds. The primary objective is to build a robust understanding of the theory, properties, and real-world applications of various dynamical and control systems.
By the end of this course, participants will be able to:
- Formulate mathematical models for physical, biological, and engineering systems, typically expressed as differential equations.
- Analyze the well-posedness of these models, ensuring solutions exist, are unique, and are stable.
- Understand and apply key control theory concepts like controllability, observability, stabilizability, and optimal control.
- Appreciate the tremendous applications of these theories in diverse fields such as robotics, aerospace, economics, and biology.
Learn from Distinguished IIT Roorkee Faculty
The course is taught by two eminent professors from the Department of Mathematics at IIT Roorkee, bringing decades of research and teaching excellence to the virtual classroom.
Prof. N. Sukavanam, currently the Head of the Department of Mathematics, is a leading expert in Nonlinear Analysis, Control Theory, and Robotics. With a Ph.D. from IISc Bangalore and over 80 publications, he has guided 19 Ph.D. students and has extensive experience in developing online pedagogical content, including NPTEL courses.
Prof. D. N. Pandey, an Associate Professor, specializes in semigroup theory and functional differential equations. An accomplished author and researcher with over 60 publications, he has rich experience in creating e-learning content and guiding doctoral students.
Detailed 12-Week Course Curriculum
The course is logically sequenced to build from foundational concepts to advanced applications. Here is a week-by-week breakdown:
| Week | Key Topics Covered |
|---|---|
| 1-3 | Formulation of Physical Systems, Existence & Uniqueness Theorems, Linear Systems & Fundamental Matrices. |
| 4-6 | Stability Analysis (Linear & Non-linear), Phase Portraits, Poincare-Bendixson Theorem, Lyapunov Stability. |
| 7-9 | Introduction to Control Systems, Controllability & Observability, Feedback Control, State Observers. |
| 10-12 | Lyapunov Stability Theory, Optimal Control (Continuous & Discrete), Discrete Systems Analysis. |
Who Should Enroll and Prerequisites
Intended Audience: This course is ideal for UG/PG students of engineering, mathematics, physics, and related sciences from technical institutions, universities, and colleges. Professionals seeking to refresh or deepen their understanding of control theory will also find it highly valuable.
Prerequisites: A solid grasp of Linear Algebra (matrices, vector spaces) and Ordinary Differential Equations is essential to successfully follow the course material.
Recommended Textbooks for Further Study
To complement the video lectures, the instructors recommend several authoritative texts:
- Braun, M. – Differential Equations and Their Applications
- Stephen Barnett – Introduction to Mathematical Control Theory
- D. Subbaram Naidu – Optimal Control Systems
- Deo, Lakshmikantham, & Raghvendra – Text Book of Ordinary Differential Equations
- M. Gopal – Modern Control System Theory
Why This Course is Essential for Your Technical Arsenal
Dynamical systems theory provides the language to describe change, while control theory provides the tools to direct it. This course bridges the gap between abstract mathematics and practical engineering design. Whether your interest lies in robotics, autonomous vehicles, process control, or complex system modeling, the principles taught here are universally applicable. Led by IIT Roorkee's finest, this course represents a unique chance to learn complex topics in a structured, accessible, and application-oriented manner from the comfort of your home.
Take the next step in mastering the mathematics that power innovation. Explore this Dynamical Systems and Control course and build the foundational knowledge that will propel your academic and professional journey forward.
Enroll Now →