Unit 1 Systems models and their classifications, principles used in modeling of

• systems of objectives of constructing models. 4 10%

Unit 2 Reduced Order Models, Reduced Order Modeling Problem in time domain and

8 lecture hours

• frequency domain
• necessity for model reduction
• application of reduced order models algebraic reduction methods
• different reduction methods in time domain and frequency domain
• stable reduction methods
• models of discrete systems

Unit 4 Probability concepts, sample space, probability distributions, random signals,

8 lecture hours

• characterization of random variables
• statistical averages of random variables
• discrete and continuous random variables
• density and distribution functions
• properties of cumulative distribution and probability density function
• joint distribution functions

Unit 5 Stochastic process, classification of random process, response of linear

8 lecture hours

• systems to random inputs
• auto correlation and cross correlation function
• power spectral density

Unit 6 Basic principles of system reliability and failures, component reliability and

8 lecture hours

• hazard model
• Bath tub curve
• Series and parallel systems
• reliability of complex system