Syllabus (Core): M.Tech

Linear Systems Theory

Code: EE 550 | L-T-P-C : 3-0-0

Course Content/ Syllabus

Maths Preliminaries: Vector Spaces, Change of Basis, Similarity Transforms, Introduction:

Linearity, Differential equations, Transfer functions, State Space representations, Evolution of

State trajectories Time Invariant and Time Variant Systems, Controller Canonical Form,

Transformation to Controller Canonical form SI, MI, State Feedback Design SI, MI, Discrete

time systems representation, reachability and state feedback design, Observability: Grammian,

Lyapunov Equation, Output Energy, Observability matrix Observer canonical form (SO, MO),

Unobservable subspace, Leunberger Observer (SO, MO), State Feedback with Leunberger

Observers, Minimum order observers, Stabilizability and Detectability.

Texts: (Format: Authors, Book Title in Italics font, Volume/Series, Edition Number, Publisher,

Year.

1. T. Kailath, Linear System, Prentice-Hall, Inc., 1st Edition, 1980

2. C.T. Chen, Linear System Theory and Design, Oxford University Press, 4th Edition, 2013

References: (Format: Authors, Book Title in Italics font, Volume/Series, Edition Number,

Publisher, Year.)

1. L. A. Zadeh and C. A. Desoer, Linear System Theory: The State Space Approach, Springer-Verlag, 2008.

2. W. Rugh, Linear System Theory, Prentice Hall, 2nd Edition, 1995.

3. S. Lang, Introduction to Linear Algebra, Springer-Verlag, 2nd Edition, 1997.

4. W. M. Wonham, Linear Multivariable Control, A Geometric approach, Springer-Verlag, 1985.

5. J.P. Hespanha, Linear Systems Theory, Princeton University Press, 2nd Edition, 2018.