A polynomial satisfying the Routh–Hurwitz criterion is called a Hurwitz polynomial. The importance of the criterion is that the roots p of the characteristic equation of a linear system with negative real parts represent solutions e pt of the system that are stable .

*Routh-Hurwitz criterion: Control examples 2 Course roadmap Laplace transform Transfer function Models for systems • electrical • mechanical • electromechanical Block diagrams LinearizationLinearization Modeling Analysis Design Time response • Transient • Steady state Frequency response • Bode plot Stability • Routh-Hurwitz ...*Routh‐Hurwitz Criterion • The R‐H criterion establishes conditions for left‐half plane (LHP) polynomial roots and cannot be directly applied to the stability of discrete‐time systems • The bilinear transform maps the inside of the unit circle to Jun 30, 2009 · Based on the code written by Rivera-Santos, Edmundo J. , routh.m is modified a little to compute the Routh-Hurwitz array. File disp_result.m is used to diaplay the Routh-Hurwitz array and some other information on the GUI, and funct.m is to save the command that typed in the Edit text. Type 'Routh_Gui' in the command window to run the program. - Lead, Lag, and Lead Lag Compensators, Analysis using MATLAB. UNIT IV STABILITY ANALYSIS 9 Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram - Nyquist Stability Criterion - Relative Stability, Analysis using MATLAB 43