Convex linear combination of the controllability pairs for linear systems

• Autorzy: Kaczorek Tadeusz , Klamka Jerzy

Identyfikatory

DOI

10.2478/candc-2021-0030

• Języki publikacji: EN

Abstrakty

EN

The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.

Słowa kluczowe

EN

convex linear combination; controllability; linear system

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2021
• Tom: Vol. 50, No. 4
• Strony: 541--551
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Kaczorek Tadeusz

• Bialystok University of Technology, Departmemt of Electrical Engineering, Wiejska 45D, 15-351 Bialystok, Poland

autor

Klamka Jerzy

• Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Baltycka 5, 44-100 Gliwice, Poland

Bibliografia

• Kaczorek, T. (1993) Linear Control Systems, Vol. 1. J. Wiley, New York.
• Kaczorek, T. (2008) Reachability and controllability to zero tests for standard and positive fractional discrete-time systems. Journal Européen des Systémes Automatisés, JESA, 42, 6-8, 770-781.
• Kaczorek, T. (2010) Decomposition of the pair (A,B) and (A,C) of the positive discrete-time linear systems. Archives of Control Sciences, 20, 3, 253-273.
• Kaczorek, T. (2018) Reachability and observability of discrete-time linear systems with integer positive and negative powers of the state Frobenius matrices. Archives of Control Sciences, 28, 1, 5-20.
• Kailath, T. (1980) Linear Systems. Prentice-Hall, Englewood Cliffs, New York.
• Kalman, R. E. (1963) Mathematical Descriptions of Linear Systems. SIAM Journal on Control, 1, 1, 152-192.
• Klamka, J. (1981) Controllability of Dynamical Systems. Kluwer, Dordrecht, The Netherlands.
• Klamka, J. (2018) Controllability and Minimum Energy Control. Studies in Systems, Decision and Control, 162, Springer Verlag.
• Jagadish, V., Srikanth, R. and Patruccione, F. (2020) Convex combinations of CP-divisible Pauli channels, arXiv; 1912, [0754v2-quant], 29 September 2020.