Passivity and Optimal Control of Descriptor Biological Complex Systems

Full order observer synthesis for singular discrete-time fractional systems

“…Umożliwiają one dokładniejsze przedstawienie istnieją-cych tam zjawisk [3]. Podstawowe problemy teorii i sterowania tej klasy układów dynamicznych są opisywane w wielu pracach, między innymi w [4,9,10,13,14].…”

An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties

“…The theoretical developments for a singular system are worthwhile and there are more challenges, because the essential consideration for a singular system is admissibility which includes stability, regularity and causality for a discrete-time system (or impulse elimination for a continuous-time system). Consequently, over past decades, many different practical systems and research areas (1)(2)(3)(4)(5) have been adopted the singular system description. Many fundamentals and advanced results for a normal state-space system have been successfully extended to a singular system, such as controllability and observability (6) , (robust) stability analysis and (robust) stabilization (7)(8)(9) , H∞ control and filtering (10)(11)(12) and so forth.…”

H∞control of T–S fuzzy fish population logistic model with the invasion of alien species

“…It is known through [16][17][18] that the bifurcation theory of singular systems already has had a solid theoretical foundation. Recently, Zhang and other scholars studied several kinds of biological dynamical systems [19][20][21][22][23][24] by utilizing the theory of singular systems. In general, it is very challenging to combine the knowledge of singular systems and application of H ∞ fuzzy control [25][26] to eliminate the undesirable dynamic behaviors in bio-economic models and analyze the ecological significance, which motivates this paper.…”