Figure 8

The region for the stable eigenvalues and the time responses for the states of the controlled system ( 17 ). (a) The bounded region for the eigenvalues of the controlled system (17) in the \((k_{1}, k_{2})\) plane for \(a=3.4\), \(d=3.8\), and \(c=0.02\). (b) The time responses for the state x of the controlled system (17) in the \((n, x)\) plane for \(a=3.4\), \(d=3.8\), \(c=0.2\), \(k_{1} = 0.5\), \(k_{2} =-0.04\). The initial value is (0.3, 1.25). (c) The time responses for the state y of the controlled system (17) in the \((n, y)\) plane.