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Now showing items 1-10 of 11

#### On the Method of Vector Lyapunov Functions

(University of Texas at Arlington, 1974-09)

The method of vector Lyapunov functions consists of employing several Lyapunov-like functions and the theory of vectorial differential inequalities. This general comparison technic leads to a more flexible mechanism to ...

#### Practical Stability and Lyapunov Functions

(University of Texas at Arlington, 1979-10)

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 assure "practical stability" and vice versa. For example an ...

#### On the Existence of Solutions of Differential Equations in a Banach Space

(University of Texas at Arlington, 1974-03)

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 [1,2,4,9,14] to guarantee existence of solutions only and the ...

#### Variation of Constants, Vector Lyapunov Functions and Comparison Theorem

(University of Texas at Arlington, 1980-04)

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 also given to indicate the usefulness of the comparison ...

#### Cone-Valued Lyapunov Functions

(University of Texas at Arlington, 1976-08)

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 variety of qualitative
problems of differential equations ...

#### Differential Equations on Closed Subsets of a Banach Space

(University of Texas at Arlington, 1974-07)

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 space E. Nonlinear comparison functions and dissipative ...

#### Quasi-Solutions, Vector Lyapunov Functions and Monotone Method

(University of Texas at Arlington, 1980-02)

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 and control systems. [3,4,5,11-15]. Several Lyapunov ...

#### Generalized Stability of Motion and Vector Lyapunov Functions

(University of Texas at Arlington, 1976-06)

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 effectively applied for
large scale dynamical systems [1, ...

#### A New Approach to the Stability Theory of Functional Differential Systems

(University of Texas at Arlington, 1982-01)

In the study of stability theory for delay differential
equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to choose an appropriate minimal class of functions relative ...

#### A Technique in Stability Theory of Delay-Differential Equations

(University of Texas at Arlington, 1978-04)

In the study of stability theory for delay-differential equations using Lyapunov functions and the theory of differential inequalities, it becomes necessary to choose an appropriate minimal class of functions relative to ...