000			01910nam a22003135i 4500
001			66291
005			20171003144611.0
010			_a978-3-642-13722-8 _dcompra
090			_a66291
100			_a20150401d2010 k||y0pory50 ba
101			_aeng
102			_aDE
200			_aDynamical systems _bDocumento eletrónico _estability, controllability and chaotic behavior _fStefan Pickl, Werner Krabs
210			_aBerlin, Heidelberg _cSpringer _d2010
215			_aX, 238 p.
300			_aColocação: Online
303			_aAt the end of the nineteenth century Lyapunov and Poincaré developed the so called qualitative theory of differential equations and introduced geometric-topological considerations which have led to the concept of dynamical systems. In its present abstract form this concept goes back to G.D. Birkhoff. This is also the starting point of Chapter 1 of this book in which uncontrolled and controlled time-continuous and time-discrete systems are investigated. Controlled dynamical systems could be considered as dynamical systems in the strong sense, if the controls were incorporated into the state space. We, however, adapt the conventional treatment of controlled systems as in control theory. We are mainly interested in the question of controllability of dynamical systems into equilibrium states. In the non-autonomous time-discrete case we also consider the problem of stabilization. We conclude with chaotic behavior of autonomous time discrete systems and actual real-world applications.
606			_aDinâmica _xModelos matemáticos _918382
606			_aSistemas dinâmicos diferenciáveis _912703
606			_aTeoria de controlo _98468
680			_aQA845
700			_aPickl _bStefan _918558
701			_aKrabs _bWerner _4070 _918559
801			_aPT _gRPC
856			_uhttp://dx.doi.org/10.1007/978-3-642-13722-8
942			_2lcc _cF _n0