Generalized invariance principles and the theory of stability.Description of some recent extensions of the invariance principle to more generalized dynamical systems where the state space is not locally compact and the flow is unique only in the forward direction of time. A sufficient condition for asymptotic stability of an invariant set is obtained which does not require that the Liapunov function be positive-definite. A recently developed generalized invariance principle is described which is applicable to functional differential equations, partial differential equations, and, in particular, to certain stability problems arising in thermoelasticity, viscoelasticity, and distributed nonlinear networks.
Document ID
19720027831
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Lasalle, J. P. (Brown University Providence, R.I., United States)
Date Acquired
August 6, 2013
Publication Date
January 1, 1971
Subject Category
Mathematics
Meeting Information
Meeting: Nonlinear mechanics and stability; Istituto Nazionale di Alta Matematica, Conventions