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This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous- and discrete-time cases. The sufficient conditions for the existence and uniqueness of a…

最优化与控制 · 数学 2015-09-04 Yong Zhao , Weihai Zhang

We develop a stabilization strategy of turning processes by means of delayed spindle control. We show that turning processes which contain intrinsic state-dependent delays can be stabilized by a spindle control with state-dependent delay,…

动力系统 · 数学 2018-06-14 Qingwen Hu , Huan Zhang

A discrete time stochastic model for a multiagent system given in terms of a large collection of interacting Markov chains is studied. The evolution of the interacting particles is described through a time inhomogeneous transition…

概率论 · 数学 2011-06-17 Amarjit Budhiraja , Pierre Del Moral , Sylvain Rubenthaler

This article provides a novel continuous-time state feedback control strategy to stabilize an eigenstate of the Hermitian measurement operator of a two-level quantum system. In open loop, such system converges stochastically to one of the…

量子物理 · 物理学 2019-04-11 Gerardo Cardona , Alain Sarlette , Pierre Rouchon

This work studies remote state estimation of multiple linear time-invariant systems over shared wireless time-varying communication channels. We model the channel states by a semi-Markov process which captures both the random holding period…

系统与控制 · 电气工程与系统科学 2024-10-28 Wanchun Liu , Daniel E. Quevedo , Branka Vucetic , Yonghui Li

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. The most general…

最优化与控制 · 数学 2016-01-08 Yueyun Lu , Wei Zhang

We consider a continuous-time financial market with an asset whose price is modeled by a linear stochastic differential equation with drift and volatility switching driven by a uniformly ergodic jump Markov process with a countable state…

概率论 · 数学 2025-01-14 Vitaliy Golomoziy , Kamil Kladivko , Yuliya Mishura

The authors consider stochastic aspects of the stabilization problem for two and three-dimensional Oseen equations with help of feedback control defined on a part of the fluid boundary. Stochastic issues arise when inevitable unpredictable…

偏微分方程分析 · 数学 2007-05-23 Jinqiao Duan , Andrei V. Fursikov

In this paper, we address the problem of stabilization in continuous time linear dynamical systems using state feedback when compressive sampling techniques are used for state measurement and reconstruction. In [5], we had introduced the…

最优化与控制 · 数学 2011-10-18 Kang Kang , Sourabh Bhattacharya , Tamer Basar

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

网络与互联网体系结构 · 计算机科学 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

动力系统 · 数学 2012-10-10 Shipei Huang , Zhengrong Xiang

We are concerned with input-to-state stability (ISS) of randomly switched systems. We provide preliminary results dealing with sufficient conditions for stochastic versions of ISS for randomly switched systems without control inputs, and…

最优化与控制 · 数学 2010-09-08 Debasish Chatterjee , Daniel Liberzon

A new definition of continuous-time equilibrium controls is introduced. As opposed to the standard definition, which involves a derivative-type operation, the new definition parallels how a discrete-time equilibrium is defined, and allows…

最优化与控制 · 数学 2021-07-15 Yu-Jui Huang , Zhou Zhou

This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary…

系统与控制 · 电气工程与系统科学 2020-05-13 Márcio J. Lacerda , Cristiano M. Agulhari

In this paper we present a switching control strategy to incrementally stabilize a class of nonlinear dynamical systems. Exploiting recent results on contraction analysis of switched Filippov systems derived using regularization, sufficient…

系统与控制 · 计算机科学 2020-03-18 Mario di Bernardo , Davide Fiore

This paper focuses on time-varying delayed stochastic differential systems with stochastically switching parameters formulated by a unified switching behavior combining a discrete adapted process and a Cox process. Unlike prior studies…

动力系统 · 数学 2024-01-30 Xinyu Wu , Zidong Wang , Wenlian Lu

In this paper we present elementary computations for some Markov modulated counting processes, also called counting processes with regime switching. Regime switching has become an increasingly popular concept in many branches of science. In…

概率论 · 数学 2023-02-27 Michel Mandjes , Peter Spreij

This paper, the second of a two-part series, presents a method for mean-field feedback stabilization of a swarm of agents on a finite state space whose time evolution is modeled as a continuous time Markov chain (CTMC). The resulting…

系统与控制 · 计算机科学 2017-03-29 Shiba Biswal , Karthik Elamvazhuthi , Spring Berman

This paper deals with the stability analysis problem of discrete-time switched linear systems with ranged dwell time. A novel concept called L-switching-cycle is proposed, which contains sequences of multiple activation cycles satisfying…

最优化与控制 · 数学 2021-06-01 Weiming Xiang

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic…

系统与控制 · 电气工程与系统科学 2022-01-03 Demelash Abiye Deguale