
Program outcomes and how they are covered by the specific course outcomes 



(a) 
¤ 
Understand the notion of ï¿½stateï¿½ of a dynamical system, and formulate mathematical models of physical systems described by ordinary differential and difference equations in statevariable form. 



¤ 
Develop linear state equations from nonlinear state equations via linearization. 



¤ 
Obtain explicit solutions for systems of linear ordinary differential and difference equations with constant coefficients. 



¤ 
Understand clearly the basic concepts and results, and acquire the computational skills in linear algebra that are relevant to system theory. 



¤ 
Derive various canonical forms of linear timeinvariant continuous and discretetime systems and understand their significance in system modeling and design. 



¤ 
Understand clearly the notions of controllability, observability and stabilizability. 



¤ 
Determine controllability and observability for linear timeinvariant continuous and discretetime systems. 



¤ 
Construct controllability and observability canonical forms for linear timeinvariant systems, and understand their significance in system modeling and design. 



¤ 
Determine controllability and observability in complex systems formed by interconnecting linear timeinvariant subsystems. 



¤ 
Design observers for estimating linear functions of the state of linear timeinvariant systems. 



¤ 
Solve completely the feedback stabilization or poleplacement problem for linear timeinvariant systems. 



¤ 
Several homework assignments delving on basic concepts and reinforcing analytical skills learned in class. 

  

(b) 
¤ 
A miniproject on applying the theory developed in class to models of realworld systems. Software such as MATLAB is used for computer simulation studies. 

  

(c) 
¤ 
A miniproject on applying the theory developed in class to models of realworld systems. Software such as MATLAB is used for computer simulation studies. 

  

(i) 
¤ 
Opportunities to interact weekly with the instructor and the teaching assistant(s) during regular office hours and discussion sections in order to further the students' learning experience and the students' interest in the material. 

  

(m) 
¤ 
Develop linear state equations from nonlinear state equations via linearization. 



¤ 
Obtain explicit solutions for systems of linear ordinary differential and difference equations with constant coefficients. 



¤ 
Understand clearly the basic concepts and results, and acquire the computational skills in linear algebra that are relevant to system theory. 



¤ 
Derive various canonical forms of linear timeinvariant continuous and discretetime systems and understand their significance in system modeling and design. 



¤ 
Understand clearly the notions of controllability, observability and stabilizability. 



¤ 
Determine controllability and observability for linear timeinvariant continuous and discretetime systems. 



¤ 
Construct controllability and observability canonical forms for linear timeinvariant systems, and understand their significance in system modeling and design. 



¤ 
Determine controllability and observability in complex systems formed by interconnecting linear timeinvariant subsystems. 



¤ 
Design observers for estimating linear functions of the state of linear timeinvariant systems. 



¤ 
Solve completely the feedback stabilization or poleplacement problem for linear timeinvariant systems. 

  

(n) 
¤ 
Obtain explicit solutions for systems of linear ordinary differential and difference equations with constant coefficients. 



¤ 
Understand clearly the basic concepts and results, and acquire the computational skills in linear algebra that are relevant to system theory. 



¤ 
Derive various canonical forms of linear timeinvariant continuous and discretetime systems and understand their significance in system modeling and design. 



¤ 
Understand clearly the notions of controllability, observability and stabilizability. 



¤ 
Determine controllability and observability for linear timeinvariant continuous and discretetime systems. 



¤ 
Construct controllability and observability canonical forms for linear timeinvariant systems, and understand their significance in system modeling and design. 



¤ 
Determine controllability and observability in complex systems formed by interconnecting linear timeinvariant subsystems. 



¤ 
Design observers for estimating linear functions of the state of linear timeinvariant systems. 



¤ 
Solve completely the feedback stabilization or poleplacement problem for linear timeinvariant systems. 

  