Results 31 to 40 of about 1,170,217 (311)

On the Lyapunov equation in Banach spaces and applications to control problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
By extending the Lyapunov equation A*Q+QA=−P to an arbitrary infinite-dimensional Banach space, we give stability conditions for a class of linear differential systems.
Vu Ngoc Phat, Tran Tin Kiet
doaj   +1 more source

Nonlinear differential equations of Riccati type on ordered Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
In this paper we consider a general class of time-varying nonlinear differential equations on infinite dimensional ordered Banach spaces, which includes as special cases many known differential Riccati equations of optimal control.
V. M. Ungureanu, V. Dragan
doaj   +1 more source

Dynamics and control of a class of underactuated mechanical systems [PDF]

open access: yes, 1999
This paper presents a theoretical framework for the dynamics and control of underactuated mechanical systems, defined as systems with fewer inputs than degrees of freedom.
Kolmanovsky, Ilya   +3 more
core   +4 more sources

On the Delay Interval in Which the Control Delay Systems are Stabilizable

open access: yesComplexity, 2020
In this paper, we firstly derive some criteria for considered control delay systems to be stabilizable and then get the interval of the control delay, in which the stabilizability of the systems can be kept.
Jiang Wei
doaj   +1 more source

On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons

open access: yesIEEE Transactions on Automatic Control, 2016
In this paper we deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, based on set theory, is considered as the reference for comparing the computation ...
M. Fiacchini, A. Girard, M. Jungers
semanticscholar   +1 more source

p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules

open access: yesJournal of Applied Mathematics, 2013
The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
doaj   +1 more source

On Stabilizability of Nonbilinear Perturbed Descriptor Systems

open access: yesInternational Journal of Differential Equations, 2023
One way in which nonlinear descriptor systems of (index-k) naturally arise is through semiexplicit differential-algebraic equations. The study considers the nonbilinear dynamical systems which are described by the class of higher-index differential ...
Ghazwa F. Abd
doaj   +1 more source

A State-Space Approach to Parametrization of Stabilizing Controllers for Nonlinear Systems [PDF]

open access: yes, 1994
A state-space approach to Youla-parametrization of stabilizing controllers for linear and nonlinear systems is suggested. The stabilizing controllers (or a class of stabilizing controllers for nonlinear systems) are characterized as (linear/nonlinear ...
Lu, Wei-Min
core   +1 more source

Discrete LQ optimal control with integral action: A simple controller on incremental form for MIMO systems [PDF]

open access: yesModeling, Identification and Control, 2012
A simple Linear Quadratic (LQ) optimal controller of velocity (incremental) form with approximately the same properties as a conventional PID controller of velocity form is presented, i.e. integral action.
David Di Ruscio
doaj   +1 more source

On Switching Stabilizability for Continuous-Time Switched Linear Systems

open access: yes, 2016
This paper studies switching stabilization problems for continuous-time switched linear systems. We consider four types of switching stabilizability defined under different assumptions on the switching control input.
Lu, Yueyun, Zhang, Wei
core   +1 more source

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