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Quadratic performance criteria for discrete control systems can be determined either from the time response or by the complex-convolution theorem; both methods being lengthy or limited in their use. By means of Lyapunov's well known matrix equation, a new general method is introduced for the direct definition and evaluation of performance criteria from the system parameters. This method lends itself to a simple digital-computer program.
Inspec keywords: sampled data systems; computer applications; stability
Subjects: Computer hardware; Control in industrial production systems; Production technology; Computer applications; Stability in control theory; Discrete control systems