02944nam a22005295i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001000172072001700182072002300199082001500222082001500237100002800252245013000280264006100410300003200471336002600503337002600529338003600555347002400591505023000615520100000845650001701845650002501862650002101887650001401908650002001922650002501942650001401967650001801981650001701999650004202016650004002058650003702098700002802135710003402163773002002197776003602217856004802253912001402301999001902315952008002334978-3-642-13722-8DE-He21320180115171721.0cr nn 008mamaa100803s2010 gw | s |||| 0|eng d a97836421372289978-3-642-13722-87 a10.1007/978-3-642-13722-82doi 4aQA313 7aPBWR2bicssc 7aMAT0340002bisacsh04a515.3922304a515.482231 aPickl, Stefan.eauthor.10aDynamical Systemsh[electronic resource] :bStability, Controllability and Chaotic Behavior /cby Stefan Pickl, Werner Krabs. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg,c2010. aX, 238 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aUncontrolled Systems -- Controlled Systems -- Chaotic Behavior of Autonomous Time-Discrete Systems -- A Dynamical Method for the Calculation of Nash-Equilibria in n–Person Games -- Optimal Control in Chemotherapy of Cancer. 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. 0aMathematics. 0aOperations research. 0aDecision making. 0aDynamics. 0aErgodic theory. 0aControl engineering. 0aRobotics. 0aMechatronics.14aMathematics.24aDynamical Systems and Ergodic Theory.24aOperation Research/Decision Theory.24aControl, Robotics, Mechatronics.1 aKrabs, Werner.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978364213721140uhttp://dx.doi.org/10.1007/978-3-642-13722-8 aZDB-2-SMA c372431d372431 001040708EBookaelibbelibd2018-01-15l0r2018-01-15w2018-01-15yEBOOK