Input to state stability and allied system properties

SN Dashkovskiy, DV Efimov, ED Sontag - Automation and Remote Control, 2011 - Springer
Input to State Stability and Allied System Properties Page 1 ISSN 0005-1179, Automation and
Remote Control, 2011, Vol. 72, No. 8, pp. 1579–1614. © Pleiades Publishing, Ltd., 2011 …

Input to state stability: Basic concepts and results

AA Agrachev, AS Morse, ED Sontag… - Nonlinear and optimal …, 2008 - Springer
The analysis and design of nonlinear feedback systems has recently undergone an
exceptionally rich period of progress and maturation, fueled, to a great extent, by (1) the …

[图书][B] Constructions of strict Lyapunov functions

M Malisoff, F Mazenc - 2009 - books.google.com
The construction of strict Lyapunov functions is a challenging problem that is of significant
ongoing research interest. Although converse Lyapunov function theory guarantees the …

The ISS philosophy as a unifying framework for stability-like behavior

ED Sontag - Nonlinear control in the year 2000 volume 2, 2007 - Springer
The input to state stability (ISS) paradigm is motivated as a generalization of classical linear
systems concepts under coordinate changes. A summary is provided of the main theoretical …

Uniform stabilization of nonlinear systems with arbitrary switchings and dynamic uncertainties

SS Pavlichkov, SN Dashkovskiy… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We solve the problem of global uniform input-to-state stabilization of nonlinear switched
systems with time-varying and periodic dynamics, with dynamic uncertainties, and with …

Nonuniform in time input-to-state stability and the small-gain theorem

I Karafyllis, J Tsinias - IEEE Transactions on Automatic Control, 2004 - ieeexplore.ieee.org
For time-varying control systems various equivalent characterizations of the nonuniform in
time input-to-state stability (ISS) property are established. These characterizations enable us …

A converse Lyapunov theorem for nonuniform in time global asymptotic stability and its application to feedback stabilization

I Karafyllis, J Tsinias - SIAM Journal on Control and Optimization, 2003 - SIAM
Lyapunov-like characterizations for the concepts of nonuniform in time robust global
asymptotic stability and input-to-state stability for time-varying systems are established. The …

Barrier Lyapunov Function‐Based Adaptive Control of an Uncertain Hovercraft with Position and Velocity Constraints

M Fu, T Wang, C Wang - Mathematical Problems in …, 2019 - Wiley Online Library
This paper considers the problem of constrained path following control for an underactuated
hovercraft subject to parametric uncertainties and external disturbances. A four‐degree‐of …

A time-varying feedback approach for triangular systems with nonlinear parameterization

R Pongvuthithum - SIAM journal on control and optimization, 2009 - SIAM
This paper addresses the problem of global regulation of nonlinear lower-triangular systems
with nonlinear parameterization. The uncertain parameters are assumed to be in an …

Input-to-state stability for time-varying delayed systems in Halanay-type inequality forms

B Liu, DJ Hill, Z Sun - Journal of the Franklin Institute, 2022 - Elsevier
This paper studies the input-to-state stability (ISS) for time-varying delayed systems (TVDS)
in Halanay-type inequality forms. The time-delay in TVDS is allowed to be time-varying and …