Description of Continuous-Time Systems in State-Space
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State space representation is widely used for the description of dynamical systems. Besides the input and the output signals the so-called state variables are introduced, which are inner variables of the system whose actual values are influenced by the past activities in the system. The state equation describes the system behavior by first order vector differential equations. The solution of the state equation is given. Concepts of controllability and observability are discussed. With state space representation more information can be gained of the system than with input-output representation.