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The problem on the existence of a common quadratic Lyapunov function for switched unified chaotic systems is investigated in this paper. Switched unified chaotic systems with a varying parameter are constructed. A sufficient condition on the existence of a common quadratic Lyapunov function is derived in view of the solution to a group of matrix inequalities. By designing linear state feedback controllers,...
For the continuous-time descriptor system, an extension of the positive real lemma is derived by constructed method. Using algebraic transformations into the second restricted equivalent description system, the state feedback controller is designed via the solvability of linear matrix inequality (LMI). Furthermore, in the conditions of controllability and observability, the positive realness of the...
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