Abstract
Since any state of continuous-time dynamical systems may be easily changed into another state by the free motion or inputs except equilibrium state, we cannot control the state easily. This means that if the state of control target except an equilibrium state can be obtained from any state by an input sequence, the state will change into a different state after that time. Hence we cannot construct a state control except the equilibrium state in continuous-time dynamical systems. From this point of view, we will solve our problems using mathematical programming without using usual methods of complicated matrix calculation obtained by regulator problem.
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Hasegawa, Y. (2020). Introduction. In: System Theory of Continuous Time Finite Dimensional Dynamical Systems. Studies in Systems, Decision and Control, vol 250. Springer, Cham. https://doi.org/10.1007/978-3-030-30480-5_1
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DOI: https://doi.org/10.1007/978-3-030-30480-5_1
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-30479-9
Online ISBN: 978-3-030-30480-5
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