Generalized flow invariance for differential inclusions
نویسندگان
چکیده
منابع مشابه
Lyapunov stability and generalized invariance principle for nonconvex differential inclusions
This paper studies the system stability problems of a class of nonconvex differential inclusions. At first, a basic stability result is obtained by virtue of locally Lipschitz continuous Lyapunov functions. Moreover, a generalized invariance principle and related attraction conditions are proposed and proved to overcome the technical difficulties due to the absence of convexity. In the technica...
متن کاملOn generalized differentials, viability and invariance of differential inclusions
Forward viability and invariance of time-dependent differential inclusions are studied with the aid of generalized differentials. Contingent derivative is compared with a newer concept of generalized differential quotient. It is shown that the latter is more suitable for expressing criteria of viability and invariance, as it better describes the directions tangent to invariant trajectories of d...
متن کاملInvariance Kernels of Polygonal Differential Inclusions
Polygonal hybrid systems are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. Here, we identify and compute an important object of such systems’ phase portrait, namely invariance kernels. An invariant set is a set of initial points of trajectories which keep rotating in a cycle forever and the invariance kernel is the largest of such s...
متن کاملGeneralized Solutions of Functional Differential Inclusions
1 Center for Integrative Genetics (CIGENE), Norwegian University of Life Sciences, 1432 Aas, Norway 2Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, 1432 Aas, Norway 3Department of Algebra and Geometry, Tambov State University, 392000 Tambov, Russia 4Department of Higher Mathematics, Faculty of Electronics and Computer Sciences, Moscow State Forest Uni...
متن کاملGeneralized solutions of differential inclusions and stability
This paper is a contribution to the development of a theory concerning stability of equilibrium positions with respect to Sentis solutions of ordinary differential equations with discontinuous right hand side.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2006
ISSN: 1048-9533,1687-2177
DOI: 10.1155/jamsa/2006/49431