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This book covers some selected problems of the descriptor integer
and fractional order positive continuous-time and discrete-time
systems. The book consists of 3 chapters, 4 appendices and the list
of references. Chapter 1 is devoted to descriptor integer order
continuous-time and discrete-time linear systems. In Chapter 2,
descriptor fractional order continuous-time and discrete-time
linear systems are considered. Chapter 3 is devoted to the
stability of descriptor continuous-time and discrete-time systems
of integer and fractional orders. In Appendix A, extensions of the
Cayley-Hamilton theorem for descriptor linear systems are given.
Some methods for computation of the Drazin inverse are presented in
Appendix B. In Appendix C, some basic definitions and theorems on
Laplace transforms and Z-transforms are given. Some properties of
the nilpotent matrices are given in Appendix D.
This book covers some selected problems of the descriptor integer
and fractional order positive continuous-time and discrete-time
systems. The book consists of 3 chapters, 4 appendices and the list
of references. Chapter 1 is devoted to descriptor integer order
continuous-time and discrete-time linear systems. In Chapter 2,
descriptor fractional order continuous-time and discrete-time
linear systems are considered. Chapter 3 is devoted to the
stability of descriptor continuous-time and discrete-time systems
of integer and fractional orders. In Appendix A, extensions of the
Cayley-Hamilton theorem for descriptor linear systems are given.
Some methods for computation of the Drazin inverse are presented in
Appendix B. In Appendix C, some basic definitions and theorems on
Laplace transforms and Z-transforms are given. Some properties of
the nilpotent matrices are given in Appendix D.
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