Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 9, Issue -, Pages 42-55Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2013.01.005
Keywords
Positive switched systems; Stabilization; Mode-dependent average dwell time; Linear programming
Categories
Funding
- National Natural Science Foundation of People's Republic of China [61074003, 11202121]
Ask authors/readers for more resources
This paper investigates stability and stabilization of positive switched systems with mode-dependent average dwell time, which permits to each subsystem in the underlying systems to have its own average dwell time. First, by using the multiple linear copositive Lyapunov function, the stability analysis of continuous-time systems in the autonomous form is addressed based on the mode-dependent average dwell time switching strategy. Then, the stabilization of non-autonomous systems is considered. State-feedback controllers are constructed, and all the proposed conditions are solvable in terms of linear programming. The obtained results are also extended to discrete-time systems. Finally, the simulation examples are given to illustrate the correctness of the design. The switching strategy used in the paper seems to be more effective than the average dwell time switching by some comparisons. (C) 2013 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
Article
Automation & Control Systems
Aperiodic dynamic event-triggered control for linear systems: A looped-functional approach
Yihao Xu, Alexandre Seuret, Kun Liu, Senchun Chai
Summary: The recent literature on event-triggered control has shown the potential of dynamic periodic event-triggered control. The benefit of considering periodic event-triggered control is to avoid the Zeno phenomenon. This paper proposes a generic framework to emulate aperiodic dynamic event-triggered control law and relaxes the constraint on the periodicity of the allowable sampling instants.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Non-smooth competitive systems and complex dynamics induced by linearly dependent feedback control
Yuan Tian, Chunxue Li, Jing Liu
Summary: Competition is a common biological relationship in nature, especially for fish species. This study proposes three novel mathematical models for competition between two fish populations, with control based on linear correlation feedback. The models consider different scenarios and purposes, including avoiding extinction of an inferior population, maximizing economic benefits, and preventing extinction due to unequal competition. The study provides effective control strategies and parameter optimization designs for these scenarios. Numerical simulations are conducted to demonstrate the theoretical results and feasibility of the control strategies. The findings contribute to our understanding of competition dynamics and provide insights for achieving coexistence in two-population systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Long-time behavior for impulsive generalized semiflows
Everaldo de Mello Bonotto, Piotr Kalita
Summary: We propose new criteria for the existence of global attractors for problems with state-dependent impulses that are more general than those previously known. Our results are applicable to both nonunique and unique solutions, and we provide collective versions of the criteria that demonstrate the upper-semicontinuity of global attractors under perturbation. The theory is illustrated through examples of ODEs and PDEs.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Passivity-based finite-region control of 2-D hidden Markov jump Roesser systems with partial statistical information
Feng Li, Zhenghao Ni, Lei Su, Jianwei Xia, Hao Shen
Summary: This paper addresses the problem of finite-region passive control for 2-D Markov jump Roesser systems, considering the partial statistical information issues on Markov parameters and transition probabilities. A 2-D hidden Markov model with partial statistical information is established to model this situation. The goal is to design a controller based on the 2-D hidden Markov model that ensures finite-time boundedness of both horizontal and vertical states of the 2-D Markov jump Roesser systems, while meeting a passive performance criterion. By employing the Lyapunov function method, criteria for the finite-region boundedness of 2-D Markov jump Roesser systems are developed, and a design method for the asynchronous controller based on the 2-D hidden Markov model is presented. The effectiveness of the proposed design method is validated through an illustrative example.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Compositional synthesis of control barrier certificates for networks of stochastic systems against w-regular specifications
Mahathi Anand, Abolfazl Lavaei, Majid Zamani
Summary: This paper proposes a compositional scheme for constructing control barrier certificates for interconnected discrete-time stochastic systems, which can synthesize switching controllers satisfying w-regular properties and provide probabilistic guarantees for specification satisfaction. The proposed scheme leverages interconnection topology and control sub-barrier certificates of subsystems to compositionally construct control barrier certificates of interconnected systems.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Practical exponential stability of impulsive stochastic functional differential systems with distributed-delay dependent impulses
Weijun Ma, Bo Yang, Yuanshi Zheng
Summary: This paper develops new practical stability criteria for impulsive stochastic functional differential systems with distributed-delay dependent impulses, and shows that under certain conditions, the practical exponential stability of the systems remains unchanged.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Lyapunov-based stability of time-triggered impulsive logical dynamic networks
Xueying Ding, Jianquan Lu, Xiangyong Chen
Summary: This paper investigates the stability of impulsive logical dynamic systems (ILDNs) from the perspectives of impulsive disturbance and impulsive control. The existing results on ILDN stability only consider a given impulsive instant sequence (IIS), which is restrictive. The paper proposes necessary and sufficient conditions for ILDN stability under any IIS by constructing a merged ILDN. However, these conditions are too strict as it is uncommon for a stable LDN to remain stable under any IIS. The paper introduces the concepts of impulsive disturbances and impulsive control, and presents sufficient conditions for LDN stability under time-triggered IISs with average impulsive interval. These results are also applied to set stability of ILDNs.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Asymptotic synchronization and topology identification of stochastic hybrid delayed coupled systems with multiple weights
Chunmei Zhang, Huiling Chen, Qin Xu, Yuli Feng, Ran Li
Summary: This article discusses a class of stochastic hybrid delayed coupled systems with multiple weights, and derives several conditions for asymptotic synchronization and topology identification of the systems based on Kirchhoff's Matrix-Tree Theorem and Lyapunov stability theory.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Minimum realization for controllability/observability of switched linear systems
Yan Zhu, Zhendong Sun
Summary: In this work, we address the minimum realization problem for controllability and observability of both continuous-time and discrete-time switched linear systems, and provide results for the tight upper bound.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Lyapunov conditions for exponential stability of nonlinear delay systems via impulsive control involving stabilizing delays
Weilian Liu, Xinyi He, Xiaodi Li
Summary: This paper investigates the problem of global exponential stability for nonlinear delay impulsive systems. By extending the traditional comparison principle and estimating the effects of delay on continuous and discrete dynamics, the internal relationship between delays, parameters of impulsive control, and continuous dynamics is revealed. Sufficient criteria for global exponential stability are obtained, quantitatively demonstrating the beneficial influences of delays on the system performance.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Article
Automation & Control Systems
Global output feedback control for uncertain strict-feedback nonlinear systems: A logic-based switching event-triggered approach
Yanan Qi, Xianfu Zhang, Yanjie Chang, Rui Mu
Summary: This paper proposes a switching event-triggered approach to address the global output-feedback stabilization problem for a class of uncertain nonlinear systems. By using an event-triggered mechanism and a logic-based switching mechanism, the proposed approach determines the timing for sampling and switching control parameters, and develops an observer-based control scheme. With the ability to adaptively adjust the control parameter, this scheme has a stronger capability to handle large uncertainties, inherent nonlinearities, and sampling errors.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2024)
Share Paper
