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Titlebook: Reduction of Nonlinear Control Systems; A Differential Geome V. I. Elkin Book 1999 Springer Science+Business Media Dordrecht 1999 Immersion

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Equivalence of Control Systems,egory . if system (3.1) is isomorphic to system (3.2) in the category ., i.e., if there is an isomorphism .: . → . of system (3.1) into system (3.2). Speaking at length, this means that . is a diffeomorphism such that . = . is a solution of system (3.2) whenever . is a solution of system (3.1); conv
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Factorization of Control Systems,object of the object . is a pair consisting of a control system . defined by the relations . and an epimorphism, i.e., a morphism .: . → . of the system . into the system ., that is a surjective mapping. In what follows, we confine ourselves to quotient objects for which the corresponding morphism .
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Book 1999models are also concurrently elaborated for these processes. In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number of equation
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ated by human laws, but are inherent in the very nature of the human person and have their ultimate source in God. Although the Pope had simply re-asserted a long-standing Catholic principle, his statement made newspapers’ headlines. The Pope chose to make his re-assertion at a conference organised
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V. I. Elkinred or characterised crudely as simply one of power. What is lacking is a framework which can focus analysis on the interaction between social worker or therapist and client(s). There are two interrelated dimensions involved in all social interaction but too often analysis focuses attention on one a
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V. I. Elkinury. The chapters build upon the argument, developed in the 1990s and 2000s, that the nuclear family form, the bedrock of understandings of the structure and function of family and kinship units, provides a wholly inadequate lens through which to view the British family. Instead the volume‘s contrib
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