Extending the limits of stabilizability of systems with feedback delay via fractional-order PD controllers
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.07.234
Abstract: Abstract In the last few decades the advantages of fractional-order control was demonstrated with several examples in comparison with integer-order control. In this paper, stabilizability of a second-order unstable system subject to a delayed PDµ… read more here.
Keywords: stabilizability; order; fractional order; delay ... See more keywords
On stabilizability of switched differential algebraic equations
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.2580
Abstract: This paper considers stabilizability of switched differential algebraic equations (DAEs). We first introduce the notion of interval stabilizability and show that under a certain uniformity assumption, stabilizability can be concluded from interval stabilizability. A geometric… read more here.
Keywords: stabilizability; algebraic equations; differential algebraic; stabilizability switched ... See more keywords
Control Under Stochastic Multiplicative Uncertainties: Part I, Fundamental Conditions of Stabilizability
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2016.2585919
Abstract: In this two-part paper we study stabilization and optimal control of linear time-invariant systems with stochastic multiplicative uncertainties. We consider structured multiplicative perturbations, which, unlike in robust control theory, consist of static, zero-mean stochastic processes,… read more here.
Keywords: stabilizability; multiplicative uncertainties; part; control ... See more keywords
On the Role of Convexity/Concavity in Vector Fields, Flows, and Stability/Stabilizability
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2023.3277922
Abstract: It is shown that strong convexity/concavity of a component of the vector field, as a function of the state variables, induces the same property on the corresponding component of the flow, as a function of… read more here.
Keywords: convexity; stabilizability; concavity vector; convexity concavity ... See more keywords
Robust Stability and Stabilizability Conditions for Time-Delay Systems Under Stochastic Uncertainties
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2024.3524239
Abstract: This study first explores the mean-square robust stability problem of stable continuous-time linear time-invariant systems subject to stochastic multiplicative uncertainties with prescribed variance bounds. The internal structures of uncertainties, however, are not presumed to cope… read more here.
Keywords: stabilizability; time; stability; mean square ... See more keywords
Stability and Stabilizability Criteria of Nonlinear Interval Systems
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2023.3345267
Abstract: This brief introduces innovative approaches to assess the stability and stabilizability of nonlinear interval systems, offering efficient methods for designing state feedback stabilization controllers. Stability analysis relies on matrix theory and Lyapunov’s method, providing less… read more here.
Keywords: stabilizability; stability; stabilizability criteria; interval systems ... See more keywords
Necessary and Sufficient Conditions for Event-Triggered Set Stabilizability of Markovian Jump Logical Networks.
Sign Up to like & getrecommendations! Published in 2023 at "IEEE transactions on cybernetics"
DOI: 10.1109/tcyb.2023.3262540
Abstract: This technical paper utilizes the Lyapunov theory to characterize the event-triggered set stabilizability of Markovian jump logical control networks (MJLCNs). Whereas the existing result for checking the set stabilizability of MJLCNs is only sufficient, this… read more here.
Keywords: event triggered; set stabilizability; stabilizability markovian; triggered set ... See more keywords
Stabilizability of non-linear dynamic control systems on time scales in banach spaces
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Interdisciplinary Mathematics"
DOI: 10.47974/jim-2083
Abstract: In this article, new method is proposed to study the stabilizability of a nonlinear dynamic control systems ȶΔ (ϰ)=A(ϰ)ȶ(ϰ)+B(ϰ)u(ϰ)+g(ϰ,ȶ(ϰ),u(ϰ)), ϰ∈T on a time scale T. Based on using an appropriate Lyapunov function and the derivation… read more here.
Keywords: dynamic control; stabilizability; systems time; control systems ... See more keywords