Differential Equations and Control Theory

  Coimbatore Campus

Research Topic - Differential Equations and Control Theory

The concept of stability in a common and engineering sense reflects the necessity to keep response of a disturbed system within accepted limits. If deviations describing response of the system from a given regime (e.g. state of equilibrium) lie within prescribed limits, the system is called stable. Otherwise, the system is called unstable. Disturbances, response and prescribed limits can be specified in each case in different ways. Robustness is an approach to feature persistence in systems for which we do not have the mathematical tools to use the approaches of stability theory. The problem could in some cases be reformulated as one of stability theory, but only in a formal sense that would bring little in the way of new insight or control methodologies. The robust stability problem considers the stability problem of systems that contain some uncertainties. As is well known, it is usually impossible to describe a practical system exactly. First, there are often parameters or parasitic process that are not complete. Second, due to the limitation of mathematical tools available, we usually try to use a relatively simple model to approximate a practical system. As a result, some aspects of the system dynamics (known as unmodeled dynamics) are ignored. Third, some control systems are required to operate within a range of different operating conditions. To capture these uncertain factors, it is often possible to identify a bounding set such that all the possible uncertainties fall within this set and yet it is not too difficult to analyze mathematically.

Department & Campus

Department of Mathematics, Coimbatore

Skillsets Preferred from Applicants

CSIR-UGC- NET or Good in B.Sc., and M.Sc., Mathematics score

Faculty Profile

Dr. Vinodkumar A.

Associate Professor (sr.G), Department of Mathematics, School of Engineering, Coimbatore


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Applicants holding a Master’s degree are eligible to apply for admission. Examples of Master’s degree include: ME, M. Tech., M. Sc., MCA, MS by Research and MPhil

applicants are expected to have strong academic records.


Applicants who have a full-time appointment at Amrita Vishwa Vidyapeetham or at another academic/ R&D organization are eligible to apply for part-time admission. Other eligibility requirements of such applicants are same as full time applicants. Part Time students are permitted to proceed at a slower pace in completing their doctoral requirements.


Exceptional students pursuing a Bachelor’s or Master’s degree at Amrita will be allowed to apply for the Integrated Ph.D. program subject to the requirement that he or she completes all the requirements of the Bachelor’s or Master’s degree prior to ‘advancement to candidacy’


Exceptional students who satisfy the eligibility requirements of Amrita and that of Amrita’s International Partner University (IPU), as stated in the Dual PhD. MoU signed between Amrita and the IPU, are eligible for admission to the Dual PhD program.

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External Scholars
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