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RISA Contribution to Liapunov’s Second Method: Nonlinear Autonomous Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The stability of nonlinear autonomous systems with nonlinearity representable in polynomial form is investigated. For the case of locally stable systems the following theorem is presented: A ...
On the Application of Zubov’s Method of Constructing Liapunov Functions for Nonlinear Control Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The Liapunov second method is formalized in a set of theorems which yield to a stability criterion for nonlinear autonomous systems. Various procedures for constructing Liapunov’s functions by ...