"Graz University of Technology" . "The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. But actual control systems usually contain some nonlinear elements. Three methods for stability analysis of nonlinear control systems will be introduced in this lecture: method of linearization, Lyapunov direct method and Popov criterion. Since stability analysis of nonlinear control systems is difficult task in engineering practice, these methods are made easier and tabulated. In the lecture we will show how the equations for nonlinear elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. We can construct the table includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonl" . "V, Z(MSM 260000013)" . . . . "[0BD0C13DDBAD]" . "Graz" . . "Graz" . "Summer School on Control Theory and Applications" . . "Stability Analysis of Nonlinear Control Systems"@en . "26210" . "RIV/00216305:26210/04:PU46847!RIV11-MSM-26210___" . "RIV/00216305:26210/04:PU46847" . "Stability Analysis of Nonlinear Control Systems" . . "1"^^ . . "2004-09-01+02:00"^^ . "Stability Analysis of Nonlinear Control Systems" . . . "1"^^ . . "1"^^ . . . "587689" . . . . "Stability Analysis of Nonlinear Control Systems"@en . . . . "\u0160varc, Ivan" . "The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. But actual control systems usually contain some nonlinear elements. Three methods for stability analysis of nonlinear control systems will be introduced in this lecture: method of linearization, Lyapunov direct method and Popov criterion. Since stability analysis of nonlinear control systems is difficult task in engineering practice, these methods are made easier and tabulated. In the lecture we will show how the equations for nonlinear elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. We can construct the table includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonl"@en . "Popov criterion, Lyapunov criterion, linearization, transfer function."@en .