On asymptotic behavior of perturbed nonlinear systems

Asymptotic behavior of nonlinear networked control systems

– The deÞning characteristic of a networked control system (NCS) is having a feedback loop that passes through a local area computer network. Our two-step design approach includes using standard control methodologies and choosing the network protocol and bandwidth in order to ensure important closed-loop properties are preserved when a computer network is inserted into the feedback loop. For su...

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

Asymptotic Behavior of Nonlinear Diffusions

for a given initial data u(x, 0) = u0(x) ≥ 0, where p > 1 and N ≥ 2. Such a solution exists and it is unique in the natural weak sense under rather mild conditions on u0. In particular, this is the case for u0 ∈ L , condition which we will assume in what follows. We refer the reader to [11,10] for general results on the issues of existence, uniqueness and regularity of non-negative solutions. I...

construction of strict lyapunov function for nonlinear parameterised perturbed systems

in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.