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Construction of Lyapunov functions from a class of forms of power $2p$ for the study of absolute stability of control systems with nonstationary nonlinear elements

A. L. Zelentsovskii

Moscow

Abstract: For the problem of absolute stability of control systems whose elements are nonstationary and nonlinear a procedure is proposed whereby a Lyapunov function of phase variables is obtained from a class of forms of power $2p$ through nonlinear transformation of the system phase coordinates and the numerical method [1] of designing Lyapunov functions from the class of quadratic forms. A case study demonstrates improvement of estimates of the parametric stability region over what is obtained by the widespread circular criterion of absolute stability.

UDC: 62-501.52


Received: 18.04.1985

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