Variable structure control for a singular biological economic model with time delay and stage structure
نویسندگان
چکیده
منابع مشابه
Variable structure control for a singular biological economic model with time delay and stage structure
A singular biological economic model which considers a prey-predator system with time delay and stage structure is proposed in this paper. The local stability at the equilibrium point and the dynamic behavior of the model are studied. Local stability analysis of the model without time delay reveals that there is a phenomenon of singularity-induced bifurcation due to the economic equilibrium. Fu...
متن کاملDelay-dependent H∞ Variable Structure Control of Uncertain Singular Time-delay Systems: An LMI Approach
A delay-dependent H∞ variable structure control is presented for uncertain singular time-delay systems. System with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances are considered. In terms of linear matrix inequalities (LMIs), we give a delay-dependent sufficient condition for the existence of switching surfaces, on which sliding mode dynamics is regular,...
متن کاملA Time Delay Predator-Prey System with Three-Stage-Structure
A predator-prey system was studied that has a discrete delay, stage-structure, and Beddington-DeAngelis functional response, where predator species has three stages, immature, mature, and old age stages. By using of Mawhin's continuous theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution.
متن کاملA Variable Structure Observer Based Control Design for a Class of Large scale MIMO Nonlinear Systems
This paper fully discusses how to design an observer based decentralized fuzzy adaptive controller for a class of large scale multivariable non-canonical nonlinear systems with unknown functions of subsystems’ states. On-line tuning mechanisms to adjust both the parameters of the direct adaptive controller and observer that guarantee the ultimately boundedness of both the tracking error and tha...
متن کاملDynamics and Optimal Taxation Control in a Bioeconomic Model with Stage Structure and Gestation Delay
A prey-predator model with gestation delay, stage structure for predator, and selective harvesting effort on mature predator is proposed, where taxation is considered as a control instrument to protect the population resource in prey-predator biosystem from overexploitation. It shows that interior equilibrium is locally asymptotically stable when the gestation delay is zero, and there is no per...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2017
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1436-3