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              Mekhatronika, Avtomatizatsiya, Upravlenie, 2016, vol. 17, no. 11, pp.  723—731  
              DOI: 10.17587/mau.17.723-731 
               
              Study of the Criteria for  the Degrees of Observability, Controllability and Identifiability of the Linear  Dynamical Systems 
                 
            Kai Shen, shenkaichn@mail.ru, Nanjing University of  Science and Technology K. A. Neusypin, neysipin@mail.ru, Bauman Moscow State  Technical University              | 
           
           
             
              Neusypin Konstantin A., D. Sc., Professor, Bauman  Moscow State University, Moscow, 105005, Russian Federation 
e-mail: neysipin@mail.ru  
              Received on June 20, 2016  
                Accepted on July 08, 2016  
              The article is devoted to approaches to  determination of the degree of observability, controllability and  identifiability of the parameters in the linear dynamical systems. Well-known  criteria for determination of the observability, controllability and  identifiability of the dynamical objects were presented. Those criteria only  allow us to determine, which component of the state vector is observable or  controllable better. They can only give a relative assessment of the quality of  the observability and controllability of a specific component of the state  vector of the system, whereas, it is impossible to compare the quantitative  characteristics of the state variables and parameters in various systems.  Numerical criteria for calculation of the degree of observability and  controllability of the state variables, as well as the degree of  identifiability of the model parameters of the dynamical objects 
                were researched using the scalar methods. The  proposed numerical criteria have a clear physical meaning, and are  characterized by simplicity and versatility. They allow us to determine the  quality of the observability, controllability and identifiability in a scalar  form, which can be very convenient for practical applications. 
  Keywords: model of dynamical object,  degree of identifiability, degree of controllability, degree of observability  
   
               
                Acknowledgements: This work was supported by the Programme of Introducing Talents of  Discipline to Universities in P. R. China ("111 program" No. B  16025). 
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            For citation: 
              Kai Shen, Neusypin K. A. Study of the Criteria for  the Degrees of Observability, Controllability and Identifiability of the Linear  Dynamical Systems, Mekhatronika,  Avtomatizatsiya, Upravlenie, 2016, vol. 17, no. 11, pp. 723—731. 
              DOI:  10.17587/mau.17.723-731
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