Browsing Technical Papers - DO NOT EDIT by Subject "Lyapunov functions"
Now showing items 1-11 of 11
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Cone-Valued Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-08)**Please note that the full text is embargoed** ABSTRACT: It is very well known that employing a single Lyapunov function and the theory of scalar differential inequality offers a useful mechanism to study a ... -
Differential Equations on Closed Subsets of a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-07)**Please note that the full text is embargoed** ABSTRACT: The problem of existence of solutions to the initial value problem [see pdf for notations], where [see pdf for notations], F is a locally closed subset of a Banach ... -
Generalized Stability of Motion and Vector Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1976-06)**Please note that the full text is embargoed** ABSTRACT: The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed [4, 5, 6, 7] and ... -
A New Approach to the Stability Theory of Functional Differential Systems
(University of Texas at ArlingtonDepartment of Mathematics, 1982-01)**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ... -
On Perturbing Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1974-02)**Please note that the full text is embargoed** ABSTRACT: It is known [2,3] that in proving uniform boundedness of a differential system by means of Lyapunov functions, it is sufficient to impose conditions in the complement ... -
On the Existence of Solutions of Differential Equations in a Banach Space
(University of Texas at ArlingtonDepartment of Mathematics, 1974-03)**Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for differential equations in a Banach space has taken two different directions. One approach is to find compactness type conditions ... -
On the Method of Vector Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1974-09)**Please note that the full text is embargoed** ABSTRACT: The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general ... -
Practical Stability and Lyapunov Functions
(University of Texas at ArlingtonDepartment of Mathematics, 1979-10)**Please note that the full text is embargoed** ABSTRACT: The notion of "practical stability" was discussed in the monograph by LaSalle and Lefschetz [6] in which they point out that stability investigations may not ... -
Quasi-Solutions, Vector Lyapunov Functions and Monotone Method
(University of Texas at ArlingtonDepartment of Mathematics, 1980-02)**Please note that the full text is embargoed** ABSTRACT: It is now well known that the method of vector Lyapunov functions provides an effective tool to investigate the properties of large scale interconnected dynamical ... -
A Technique in Stability Theory of Delay-Differential Equations
(University of Texas at ArlingtonDepartment of Mathematics, 1978-04)**Please note that the full text is embargoed** ABSTRACT: In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to ... -
Variation of Constants, Vector Lyapunov Functions and Comparison Theorem
(University of Texas at ArlingtonDepartment of Mathematics, 1980-04)**Please note that the full text is embargoed** ABSTRACT: In this paper we combine the above ideas to obtain a new comparison result and discuss its relation to known results. A simple application to stability theory is ...