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Causal and non-causal observability are discussed in this technical note for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia <etal/>, the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence...
This paper investigates the problem of causal observability of the states and unknown inputs of nonlinear time-delay systems. Using the theory of non-commutative rings, the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinate leading to such a form. Then, algorithms...
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